CN207199155U - Accurate measurement centripetal force size experiment instrument - Google Patents
Accurate measurement centripetal force size experiment instrument Download PDFInfo
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- CN207199155U CN207199155U CN201720652885.2U CN201720652885U CN207199155U CN 207199155 U CN207199155 U CN 207199155U CN 201720652885 U CN201720652885 U CN 201720652885U CN 207199155 U CN207199155 U CN 207199155U
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- scale bar
- experiment instrument
- horizontal scale
- experiment
- block
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Abstract
Experiment instrument is the utility model is related to, including:External surrounding frame, experiment instrument leveling support leg, experiment instrument side supporting walls, experiment instrument platform, the hollow fixed rod support upper beam of horizontal scale bar, experiment instrument repair part storage drawer, circular small machine, motor fixing frame, rotating circular disc, electric cabinet, motor supply lines, the hollow fix bar of horizontal scale bar, horizontal scale bar and rigidity spring pedestal FX;Experiment instrument mesa base is provided with leveling support leg, leveling support leg support experiment instrument platform, left and right experiment instrument side supporting walls is provided with experiment instrument platform both sides, the hollow fixed rod support upper beam of horizontal scale bar is provided with experiment instrument side supporting walls top.The beneficial effects of the utility model are:A kind of rational in infrastructure, high accurate measurement centripetal force size experiment instrument of measurement accuracy is provided, its overall construction design thinking is novel with method, pioneering both at home and abroad.
Description
Technical field
It the utility model is related to experiment instrument, more particularly to a kind of accurate measurement centripetal force size experiment instrument.
Background technology
Centripetal force is high school physicses and a key concept of university physicses mechanics part, centripetal force size and object
Quality, the angular speed (or cycle) of article for rotation and object have relation to the distance of rotating shaft.It is well-known:Make steady circular
The centripetal force size of moving object, directly proportional to mass of object, directly proportional to object of which movement angular speed square (cycle square is into anti-
Than), and to object to rotating shaft apart from directly proportional;However, so far, on the market with physics laboratory of universities an middle schools only to
The qualitative lecture experiment instrument equipment of mental and physical efforts, the experiment instrument equipment of accurate measurement centripetal force size was not seen also.
Utility model content
In order to overcome prior art insufficient, the utility model provides a kind of rational in infrastructure, high accurate survey of measurement accuracy
Measure centripetal force size experiment instrument.
To realize above-mentioned technical purpose, the utility model employs following technical scheme:
Accurate measurement centripetal force size experiment instrument, including external surrounding frame, experiment instrument leveling support leg, experiment instrument side supporting walls,
The hollow fixed rod support upper beam of experiment instrument platform, horizontal scale bar, experiment instrument repair part storage drawer, circular small machine, motor
Fixed mount, rotating circular disc, electric cabinet, motor supply lines, the hollow fix bar of horizontal scale bar, horizontal scale bar and rigidity spring bottom
Seat FX;
Experiment instrument mesa base is provided with leveling support leg, leveling support leg support experiment instrument platform, in experiment instrument platform
Both sides are provided with left and right experiment instrument side supporting walls, and the hollow fix bar branch of horizontal scale bar is provided with experiment instrument side supporting walls top
Upper beam is supportted, vertical direction corresponding with circular small machine rotary shaft fixes peace at the hollow fixed rod support upper beam center of horizontal scale bar
The hollow fix bar of horizontal scale bar is filled, horizontal scale bar is installed in the hollow fix bar lower end of horizontal scale bar and fixes back-up ring, will
Horizontal scale bar is fixedly mounted and fixes upper back-up ring lower end installed in horizontal scale bar, passes through hollow fixation in horizontal scale bar lower end
Loop coil makes horizontal scale bar be fixed in horizontal scale bar fixation between back-up ring and hollow fixed spiro;
Disk is installed in the rotating shaft of circular small machine and stops circle, stops circle upper end socket rotating circular disc in disk,
The upper end installation disk locking loop coil of rotating circular disc, disk stop that circle and disk locking loop coil fix rotating circular disc therebetween;
Circular small machine is arranged between the motor fixing frame of experiment porch, and circular small machine rotary shaft packs into horizontal scale
Among the hollow fix bar of bar, circular small machine is fixed by motor fixing frame.
As preferred:The rigidity spring pedestal FX includes:Rigidity spring pedestal fixing groove, rigidity spring pedestal
Fixed screw, rigidity spring system, rectangle experiment block, rigidity spring and the rectangle experiment micro- chi of block;Rigidity spring system bottom
Seat is arranged in horizontal scale bar at the relevant radii of the rigidity spring pedestal fixing groove of rigidity spring pedestal FX;It is rectangular
Shape experiment block is placed in the slide block slot of rectangle experiment block of horizontal scale bar, and rectangle experiment block is micro- with rectangle experiment block
Chi is adjacent with scale side with main scale, and is abutted with rigidity spring.
The utility model has the characteristics of following and beneficial effect:
1st, the overall construction design thinking of " accurate measurement centripetal force size experiment instrument " device and method are novel, domestic outside
Wound;
2nd, rotating circular disc is arranged on motor rotation axis, motor rotation is directly disc-rotated, can realize disk
On sliding block obtain a centripetal force effect;
3rd, due to the relative slip between disk and sliding block, disk and sliding block material according to selected by needing experiment, therebetween
Frictional force is very small (can be ignored), as long as disk rotational, sliding block can be realized as it and the phase in the center of circle is left on disk
To sliding;
4th, in order to measure the centripetal force of sliding block, the device that spring is fixed on spring base is employed, by the pressure for recording spring
Contracting amount, can calculate the elastic force (be sliding block centrifugal force) of spring using Hooke's law, the centrifugal force of sliding block and sliding block to
Mental and physical efforts are active force and reaction force, you can measure the centripetal force of sliding block;
5th, in order to calculate measure spring decrement and sliding block apart from rotating shaft distance, employ sliding block in horizontal scale
Can slidably in slide block slot in bar, and sliding block upper surface abuts horizontal scale bar scale while having portrayed micro- chi, with
Sliding block is advantageously implemented apart from rotating shaft and the pin-point reading of amount of spring compression;
6th, spring base can move along rotating circular disc radius (i.e. on the inside of horizontal scale bar) direction, after position determines
Be fixed on horizontal scale bar both sides, to measure centrifugal force (i.e. centripetal force) of the sliding block at different radii, and according to sliding block away from
The theoretical value of centripetal force is calculated from rotating shaft diverse location and according to the calculation formula of centripetal force;
7th, horizontal scale bar is fixed on the hollow fix bar lower end of horizontal scale bar, can realize horizontal scale bar lower surface with
Disc face is separated by a distance and regulation therebetween, horizontal scale bar medium design have slide block slot, sliding block can be realized in sliding block
Without friction (sliding block is ignored with disc face and horizontal scale bar inboard friction), transversely scale bar (radius) is square in groove
To slidably.
Brief description of the drawings
Fig. 1 is accurate measurement centripetal force size experiment instrument front view.
Fig. 2 is other part front views in addition to motor and rotating circular disc.
Fig. 3 is the other parts front view in addition to the hollow fix bar of horizontal scale bar and horizontal scale bar.
Fig. 4 is accurate measurement centripetal force size experiment instrument top view.
Fig. 5 is that rigidity spring tests block (with micro- chi) top view with rectangle.
Fig. 6 is the side view such as horizontal scale bar and rigidity spring system.
Fig. 7 is that rectangle tests block (carrying micro- chi) top view.
Fig. 8 is that rectangle tests block (carrying micro- chi) precision calibration method figure.
Fig. 9 is electric cabinet front view.
Figure 10 is that rectangle tests block (carrying micro- chi) original state top view before motor (rotating disk) rotates.
Figure 11 is that rectangle tests block (carrying micro- chi) motion state top view finally after motor (rotating disk) rotates.
Transverse direction scale bar adjustment state top view when Figure 12 is tests.
Embodiment
The utility model is described further with reference to embodiment.The explanation of following embodiments is only intended to help and managed
Solve the utility model.It should be pointed out that for those skilled in the art, the utility model principle is not being departed from
On the premise of, some improvement and modification can also be carried out to the utility model, these are improved and modification also falls into the utility model
In scope of the claims.
As shown in figure 1, it is accurate measurement centripetal force size experiment instrument front view.1st, experiment porch and peripheral fixed frame, 1-
0th, leveling support leg, 1-2, experiment instrument side supporting walls, 1-3, experiment instrument platform, on 1-4, the hollow fixed rod support of horizontal scale bar
Beam, 2, experiment instrument repair part storage drawer, 3, circular small machine, 3-1, motor fixing frame, 4, electric cabinet, 5, motor supply lines,
6th, rotating circular disc, 7, the hollow fix bar of horizontal scale bar, 7-1, horizontal scale bar fix upper back-up ring, solid under 7-2, horizontal scale bar
Determine loop coil, 8, horizontal scale bar, 9, rigidity spring pedestal FX, 9-00, slide block slot (as shown in Figure 10).
As shown in figure 3, it is the other parts front view in addition to the hollow fix bar of horizontal scale bar and horizontal scale bar.1st, test
Platform and peripheral fixed frame, 3, circular small machine, 3-1, motor fixing frame, 3-2, disk stop circle, 3-3, disk locking loop coil,
3-4, machine shaft, 4, electric cabinet, 5, motor supply lines, 6, rotating circular disc.
As shown in figure 4, it is accurate measurement centripetal force size experiment instrument top view.1-3, experiment instrument platform, laterally 1-4, mark
The hollow fixed rod support upper beam of chi, 1-30, leveling spirit bubble, 3, circular small machine, 3-4, circular small machine rotary shaft, 5, motor
Supply lines, 6, rotating circular disc, 7, the hollow fix bar of horizontal scale bar, 8, horizontal scale bar, 9-0, rigidity spring pedestal fixing groove,
9-1, rigidity spring pedestal fixed screw, 9-2, rigidity spring system, 9-3, experiment rectangle thing block, 9-21, rigidity spring;
As shown in figure 5, test block (with micro- chi) top view for rigidity spring and rectangle.9-1, rigidity spring pedestal are fixed
Screw, 9-20, rigidity spring pedestal, 9-3, rectangle experiment block (with micro- chi), 9-21, rigidity spring, 9-30, rectangle experiment
The micro- chi of block;
As shown in fig. 6, it is the side view such as horizontal scale bar and rigidity spring system.6th, rotating circular disc, 8, horizontal scale bar,
9-1, rigidity spring pedestal fixed screw, 9-3, rectangle experiment block (carrying micro- chi), 9-20, rigidity spring firm banking, 9-
21st, rigidity spring;
As shown in fig. 7, test block (carrying micro- chi) top view for rectangle.9-3, rectangle experiment block (carrying micro- chi),
9-30, micro- chi, 9-300, the graduation mark of micro- chi 0 (testing block center line) position;
Rectangle tests block (carrying micro- chi) preparation method:Graduated scale (including both ends) is symmetrical on central 0 graduation mark.
As shown in figure 8, test block (carrying micro- chi) precision calibration method for rectangle.8-0, horizontal scale bar main scale are carved
Degree, 9-30, the rectangle experiment micro- chi scale of block;
Micro- chi precision:Micro- chi is engraved on rectangle experiment block upper surface, and the rectangle experiment micro- chi of block and main scale scale are same
Side, 10 lattice on micro- chi are identical with the 9mm length on main scale, i.e., the 1mm on main scale have been assigned on 10 lattice on micro- chi, this
Every 1 lattice on the micro- chi of sample are 0.1mm, that is to say, that the precision of micro- chi is 0.1mm.
As shown in figure 9, it is electric cabinet front view.4th, electric cabinet, 4-0, electric cabinet indicator lamp, 4-1, electric cabinet switch, 4-
2nd, timing start button, 4-3, the number of turns set knob, and 4-4, time display screen, 4-5, number of turns display screen, 4-6, rotating speed set rotation
Button;
Connection description between each several part:
" the accurate measurement centripetal force size experiment instrument " device made, is divided into experiment instrument leveling support leg 1-0, experiment instrument side
Supporting walls 1-2, experiment instrument platform 1-3, the hollow fixed rod support upper beam 1-4 of horizontal scale bar, experiment instrument repair part storage drawer
2nd, circular small machine 3, motor fixing frame 3-1, rotating circular disc 6, electric cabinet 4, motor supply lines 5, the hollow fixation of horizontal scale bar
Bar 7, horizontal scale bar 8.As shown in figure (1);
" accurate measurement centripetal force size experiment instrument " is provided with external surrounding frame 1, and experiment instrument platform 1-3 bottoms are provided with leveling branch
Support leg 1-0, leveling support leg 1-0 support experiment instrument platform 1-3, and experiment instrument platform 1-3 both sides are provided with left and right experiment instrument side
Supporting walls 1-2, experiment instrument side supporting walls 1-2 tops are provided with the hollow fixed rod support upper beam 1-4 of horizontal scale bar, in transverse direction
The hollow fixed rod support upper beam 1-4 centers of scale bar vertical direction corresponding with circular small machine rotary shaft 3-4 is fixedly mounted laterally
The hollow fix bar 7 of scale bar, horizontal scale bar is installed in the hollow lower end appropriate location of fix bar 7 of horizontal scale bar and fixes back-up ring
7-1, horizontal scale bar 8 is arranged on horizontal scale bar and fixes upper back-up ring 7-1 lower ends, in the horizontal lower end of scale bar 8 with hollow solid
Determine loop coil 7-2 horizontal scale bar 8 is tightly secured in horizontal scale bar fixation between back-up ring 7-1 and hollow fixed spiro 7-2;
Appropriate location installation disk stops circle 3-2 in the rotating shaft of circular small machine 3, stops circle 3-2 upper ends socket slewing circle in disk
Disk 6, in the upper end of rotating circular disc 6 installation disk locking loop coil 3-3, it is allowed to disk and stops that circle 3-2 and disk locking loop coil 3-3 will
Rotating circular disc 6 is fastened securely to therebetween;By circular small machine 3 between experiment porch 1-3 motor fixing frame 3-1,
And adjust the circular rotating shaft 3-4 of small machine 3 and can just pack among the hollow fix bar 7 of horizontal scale bar, appropriate regulation is circular small
The upper-lower position of motor 3, circular small machine 3 is securely fixed using motor fixing frame 3-1.
Experiment repair part can be deposited in the left and right drawer 2 under experiment porch 1-3.
Laboratory operating procedures:
1st, regulating step
(1) for the sake of experimenter's operation and convenient reading, horizontal scale bar 8 can be adjusted to any orientation, such as, adjust
Save into the hollow fixed rod support upper beam 1-4 of experiment instrument transverse direction scale bar into plumbness, such as scheme shown in (12);
(2) adjusting base is horizontal.Three leveling support leg 1-0 are adjusted, are allowed to, the leveling of experiment instrument platform 1-3 surfaces is horizontal
Bubble 1-30 is among circle;
(3) the motor supply lines 5 connected between electric cabinet 4 and circular small machine 3, and be connected with electric cabinet 4;
(4) according to experiment given condition, related experiment can arbitrarily be carried out.
2nd, experimental procedure
(1) on the premise of " accurate measurement centripetal force size experiment instrument " is regulated, proceed as follows;
(2) rigidity spring system base 9-20 is arranged on to the steel of rigidity spring pedestal FX 9 in horizontal scale bar 8
At property spring pedestal fixing groove 9-0 relevant radii;
(3) it is m by quality1Rectangle experiment block (carry micro- chi) 9-3 be placed on horizontal scale bar 8 rectangle test block
In 9-3 slide block slot 9-00, rectangle experiment block 9-3 is adjacent when 9-30 carries scale with main scale 8-0 with micro- chi, and and steel
Property spring 9-21 abut, read rectangle experiment block (carrying micro- chi) 9-3 barycenter (i.e. micro- graduation mark of chi 0) position initial reading x1
(being accurate to 0.1mm), as shown in Fig. 5,4,7,10,12;
(4) when testing, Electric vacuum box is arranged to n circles, rotates t, motor rotational angular velocity ω the time required to n circles0(rad/
s);The power supply 4-1 of electric cabinet 4 is opened, indicator lamp 4-0 is bright, and motor 3 drives rotating circular disc 6 to start to rotate, and rotary rpm sets knob
4-6 is set compared with low-rotate speed n0(rev/min), turnning circle set knob 4-3 to set motor 4 to rotate 50 circles, and number of turns display screen 4-5 shows
Show 50, press timing start button 4-2, treat that motor 4 rotates 50 circles, i.e. rotating circular disc 6 rotates 50 circles, and motor 4 drives slewing circle
Disk 6 is automatically stopped rotation, and time display screen 4-4 can show total time t used in the circle of rotation 50, then the cycle is T=t/50, angular speed
For ω=2 π/T, such as scheme shown in (9);
(5) motor 4 drives rotating circular disc 6 to start in rotation process, and rectangle experiment block (carrying micro- chi) 9-3 will turn
The dynamic surface of disk 6 is vertical with rigidity spring 9-21 along slide block slot direction (radial direction) in the horizontal inner slide groove 9-00 of scale bar 8
Direction (radial direction) slides in and out backwards to rotary shaft, and rigidity spring 9-21 is compressed into relevant position;
(6) block (carrying micro- chi) 9-3 is tested in slide block slot 9-00 after stabilization after rectangle, reading rectangle experiment block
(carrying micro- chi) 9-3 positions reading x2(being accurate to 0.1mm), such as scheme shown in (11);
(7) according to as above experiment data streams read x1、x2, rigidity spring is obtained by decrement Δ x=x2-x1If rigidity spring
Coefficient of elasticity k, according to Hooke's law f=k Δ x, the power be rectangle experiment block (carrying micro- chi) 9-3 centrifugal force,
Namely it is x apart from rotating shaft distance that rectangle, which tests block (carrying micro- chi) 9-3 in rotating circular disc 6,2Centripetal force (experiment value);
(8) x is known again2Block (carrying micro- chi) 9-3 is tested to rotating shaft distance (radius) for rectangle, is counted according to formula (1)
Calculate the theoretical value f of centripetal forceIt is theoretical;Then the comparison of experiment value and theoretical value is expressed as with percent error
(9) similarly, using same angular velocity omega0, quality is m by we2(m2>m1) rectangle experiment block (with micro-
Chi) 9-3 is placed in the rectangle experiment block 9-3 slide block slot 9-00 of horizontal scale bar 8, and rectangle experiment block 9-3 (carries micro- chi
In 9-30) it is adjacent when carrying scale with main scale 8-0, and abutted with rigidity spring 9-21, rectangle experiment block is read (with micro-
Chi) 9-3 barycenter (i.e. micro- graduation mark of chi 0) position initial reading x1(being accurate to 0.1mm);Test, motor 3 drives rotating circular disc 6
Rotate, block (carrying micro- chi) 9-3 is tested in slide block slot 9-00 after stabilization after rectangle, reading rectangle experiment block is (with micro-
Chi) 9-3 positions reading x3(being accurate to 0.1mm), then Δ x '=x3-x1, centripetal force experiment value f=k Δs x ';Again with handle
m2、x3(1) formula of substitution, the theoretical value f calculatedIt is theoreticalBe compared, it represented using percent error, (such as Fig. 5,4,7,10,11,
Shown in 12);
(10) if rotational speed sets knob 4-6, very fast angular velocity omega is reset1(ω1>ω0)(rad/s);By matter
Measure as m1Rectangle experiment block (carry micro- chi) 9-3 be placed on the rectangle of horizontal scale bar 8 and test block 9-3 slide block slot 9-00
Interior, rectangle experiment block 9-3 is adjacent when 9-30 carries scale with main scale 8-0 with micro- chi, and is abutted with rigidity spring 9-21,
Read rectangle experiment block (carrying micro- chi) 9-3 barycenter (i.e. micro- graduation mark of chi 0) position initial reading x1(being accurate to 0.1mm) is carried out
Experiment as described above, this when, the decrement of rigidity spring will be bigger, i.e., centrifugal force is bigger, that is to say, that centripetal force is more
Greatly, corresponding readings x can equally be read4, by x4Substitute into the theoretical value f that formula (1) calculates centripetal forceIt is theoreticalWith experiment value f=k
Δ x ' is compared, and is represented using percent error, (as shown in Fig. 5,4,7,10,11,12);
Conclusion:By above-mentioned experiment, we demonstrate formula f=m ω2R=m (4 π2)/T2R is correct.
Experimental principle:
The quality for being provided as circular motion object is m, and the radius of gyration (i.e. the distance of object to rotating shaft) of object is r, is made even
Fast circular motion angular speed is ω=2 π/T (cycle T), then centripetal force can be expressed as
F=m ω2R=m (4 π2)/T2r……(1)
Wherein, T is the rotation period of rotating circular disc, and n is the number of total coils that motor (rotating circular disc) turns over, and t is rotating circular disc
The total time required for n circles is turned over, then nT=t, cycle T=t/n, angular speed are ω=2 π/T;
It can be seen that from formula (1):Object makees the centripetal force of uniform circular motion, directly proportional to mass of object m, with circumference
The angular velocity omega square of motion is directly proportional, i.e. the cycle square (T with uniform circular motion2) be inversely proportional, make with object at the uniform velocity round
Zhou Yundong radius r is directly proportional.
Claims (2)
- A kind of 1. accurate measurement centripetal force size experiment instrument, it is characterised in that:Including external surrounding frame (1), experiment instrument leveling support leg (1-0), experiment instrument side supporting walls (1-2), experiment instrument platform (1-3), the hollow fixed rod support upper beam (1-4) of horizontal scale bar, Experiment instrument repair part storage drawer (2), circular small machine (3), motor fixing frame (3-1), rotating circular disc (6), electric cabinet (4), Motor supply lines (5), the hollow fix bar of horizontal scale bar (7), horizontal scale bar (8) and rigidity spring pedestal FX (9);Experiment instrument platform (1-3) bottom is provided with leveling support leg (1-0), leveling support leg (1-0) support experiment instrument platform (1- 3) experiment instrument platform (1-3) both sides, are provided with left and right experiment instrument side supporting walls (1-2), pushed up in experiment instrument side supporting walls (1-2) End is provided with the hollow fixed rod support upper beam (1-4) of horizontal scale bar, in the hollow fixed rod support upper beam (1-4) of horizontal scale bar The horizontal hollow fix bar of scale bar (7) is fixedly mounted in center vertical direction corresponding with circular small machine rotary shaft (3-4), in transverse direction The hollow fix bar of scale bar (7) lower end installs horizontal scale bar and fixes upper back-up ring (7-1), and horizontal scale bar (8) will be fixedly mounted Upper back-up ring (7-1) lower end is fixed installed in horizontal scale bar, passes through hollow fixed spiro (7-2) in horizontal scale bar (8) lower end Make horizontal scale bar (8) be fixed on horizontal scale bar to fix above between back-up ring (7-1) and hollow fixed spiro (7-2);Disk is installed in the rotating shaft of circular small machine (3) and stops circle (3-2), stops that circle (3-2) upper end set switches through in disk Dynamic disk (6), in the upper end of rotating circular disc (6) installation disk locking loop coil (3-3), disk stops circle (3-2) and disk locking Loop coil (3-3) is fixed therebetween by rotating circular disc (6);Circular small machine (3) is arranged between the motor fixing frame (3-1) of experiment porch (1-3), circular small machine rotary shaft (3- 4) pack among the hollow fix bar of horizontal scale bar (7), it is by motor fixing frame (3-1) that circular small machine (3) is fixed.
- 2. accurate measurement centripetal force size experiment instrument according to claim 1, it is characterised in that:The rigidity spring pedestal FX (9) includes:Rigidity spring pedestal fixing groove (9-0), rigidity spring pedestal fixed screw (9-1), rigidity spring system Unite (9-2), rectangle experiment block (9-3), rigidity spring (9-21) and rectangle test the micro- chi of block (9-30);Rigidity spring system Base (9-20) is arranged on the rigidity spring pedestal fixing groove (9- of rigidity spring pedestal FX (9) in horizontal scale bar (8) 0) at relevant radii;Rectangle experiment block (9-3) is placed on the slide block slot of the rectangle experiment block (9-3) of horizontal scale bar (8) In (9-00), rectangle experiment block (9-3) carries scale side phase with the rectangle experiment micro- chi of block (9-30) with main scale (8-0) Neighbour, and abutted with rigidity spring (9-21).
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CN107123345A (en) * | 2017-06-07 | 2017-09-01 | 浙江大学城市学院 | A kind of accurate measurement centripetal force size experiment instrument and its operating method |
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