CN2031138U

CN2031138U - Demonstrating and plotting instrument for simple harmonic vibration and sine curve

Info

Publication number: CN2031138U
Application number: CN 88201142
Authority: CN
Inventors: 陈建烈
Original assignee: Individual
Current assignee: Individual
Priority date: 1988-02-02
Filing date: 1988-02-02
Publication date: 1989-01-18

Abstract

The utility model provides a demonstrating and plotting instrument for a simple harmonic vibration and sine curve, which is a teaching and drawing instrument capable of demonstrating the simple harmonic vibration and simultaneously and synchronously drawing a sine curve. The utility model has the specific structure that two same wheels are strung on a left rotating column and a right rotating column of a plumb ruler, and a level ruler capable of parallelly rotating along with the wheel rotation is strung on the wheels. A drawing pen is sheathed in a square hole at the intersecting part of the plumb ruler and the level ruler. When the wheels roll on a bottom rail, the drawing pen immediately makes simple harmonic vibration, and a color pen in the drawing pen can synchronously draw a sine curve not less than one cycle on a drawing board.

Description

Demonstrating and plotting instrument for simple harmonic vibration and sine curve

The utility model provides a kind of teaching, plotting machine, its sinusoidal curve that can draw synchronously in the simple harmonic oscillation of presentation site.

Well-known, all be the simple harmonic oscillation of first presentation site about simple harmonic oscillation and sinusoidal curve in school instruction, the relevant books and periodicals of engineering drawing at present with all, after look in addition again and a little retouch sinusoidal curve.This method has two big shortcomings:

1, look for dot map not only time-consuming and curve is coarse, " π " can only get its approximate value in addition, so look for very out of true of the sinusoidal curve a little retouching out.

2, look for isolatedly and a little retouch sinusoidal curve, the image of simple harmonic oscillation that can not display dot is exactly a sinusoidal curve.The high school physics textbook all is loaded with the husky following paper extraction sheet of single pendulum leakage and drills the image of painting simple harmonic oscillation a little for many years, and this experiment can only illustrate approx that the image of simple harmonic oscillation a little is a sinusoidal curve; And the sand that leaks down is difficult to form a decent sinusoidal curve.

The utility model has not only overcome this two big shortcoming, and can promote teaching and a kind of easy teaching, the plotting apparatus that provide.

Specific embodiments of the present utility model sees following accompanying drawing for details.

Fig. 1 is the front view and the left view of concrete structure of the present utility model.

Fig. 2 is the synoptic diagram of the concrete structure of paintbrush (Q).

Referring to Fig. 1, two ends have at the bottom of the garden tube of " ⊥ " shape support rail (1) can revolve to tear open to be two-section, every section long is 2.5 times of external diameter of wheel (8), so as to transport, deposit, in have in the middle of the upper side frame of vertical chi (2) of slot and lower frame two formal dress appearance etc. backward respectively, the bound feet (3,4,5) of ball is arranged on the head.Adorn fixed bar (6,7) about vertical chi (2), distinguish formal dress Rotational Cylindrical (A, B) backward in this fixed bar outer end, go here and there respectively on Rotational Cylindrical (A, B) at the center of two identical wheels (8,9), and two fixed bars respectively have been converted into 90 ° of back that push away the vertical chi in wheel; The outer rim of wheel is half garden shape, goes up rolling so that wheel rides over end rail (1).The formal dress Rotational Cylindrical (C, D) backward in the back of two wheels, condition be | AC|

| BD|.In the inter-burst of two frame of surveyor's staff (1C) of slot is arranged on Rotational Cylindrical ［ C, D ］.Vertical chi ［ 2 ］ has individual square hole with the intersection of surveyor's staff ［ 10 ］, and garden cylindricality paintbrush ［ Q ］ promptly is sleeved in this square hole.Referring to figure ［ 2 ］ and K-K cut-open view, the narrow groove on the slotted hole both sides of vertical chi ［ 2 ］ entangles the peripheral annular sheet ［ 13 ］ of paintbrush ［ Q ］, so paintbrush ［ Q ］ can move in the slotted hole inter-sync of vertical chi ［ 2 ］ with the upper and lower translation of surveyor's staff ［ 10 ］.The following dress stage clip ［ 12 ］ of the upper base ［ 11 ］ of paintbrush ［ Q ］, coloured pencil (as chalk) ［ 14 ］ be sleeved on stage clip ［ 12 ］ below.

Method of operating (application drawing and proof thereof all are omitted):

1, mention vertical chi ［ 2 ］, affect a wheel (as ［ 9 ］) to do at the uniform velocity idle running, another wheel (as ［ 8 ］) synchronous idle thereupon then, at this moment paintbrush ［ Q ］, particularly the center particle of its upper base ［ 11 ］ promptly do simple harmonic oscillation (can be from a=(V ²)/(R) easily push away f=-(V ²)/(R ²) mx=-Kx).

2, putting two wheels ［ 8,9 ］ rides on the end rail ［ 1 ］, as Fig. 1, hand is pressed the centre of vertical chi ［ 2 ］---two interior end points places of fixed bar ［ 6,7 ］, three bound feets ［ 3,4,5 ］ perseverance is contacted with drawing board (as blackboard), horizontal sliding vertical chi ［ 2 ］ makes two wheels be rolled into the other end from of end rail ［ 1 ］, paintbrush ［ Q ］ then, particularly the center particle of its upper base ［ 11 ］ must be done simple harmonic oscillation; Simultaneously, coloured pencil ［ 14 ］ is pressed in by stage clip ［ 12 ］ and promptly makes a vibrational diagram on the drawing board.If on drawing board, set up suitable rectangular coordinate system xoy, make the rolling garden radius R=1(unit head of wheel), then can make this vibrational diagram is the one-period that is no less than sinusoidal curve y=|AC|SinX.

When | during AC|=R=1, then this vibrational diagram is exactly usual sinusoidal curve y=SinX.

3, make two wheel frames that can be screwed in addition in the front of wheel ［ 8,9 ］, the center of wheel frame is also respectively on the axis of Rotational Cylindrical ［ A, B ］, if the rolling garden radius of wheel frame is r, suitably adjust the relative position of wheel and set up corresponding rectangular coordinate system xoy, then when the newly assembled frame of taking turns when of end rail (1) is rolled into the other end, it is to be no less than sinusoidal curve y=|AC|Sin(ω x+ φ that the vibrational diagram under coloured pencil (14) is drawn can make it) one-period.ω in the formula=1/ (r) is a given value, and φ is your desired first phase.

Claims

1, simple harmonic oscillation and the sinusoidal curve demonstrating instrument that is assembled into by a surveyor's staff [10] that slotted hole is arranged in the vertical chi [2] that slotted hole is arranged in the foundation rail [1], two identical wheels [8,9],, one and a paintbrush [Q], it is characterized in that: two energy are gone up wheel [8, the 9] string that rolls and are being connected on the Rotational Cylindrical [A, B] on the fixed bar [6,7] in jail with vertical chi [2] at end rail [1], surveyor's staff [10] string on the Rotational Cylindrical [C, D] on two wheels [8,9], in stage clip [12] are housed paintbrush [Q] be sleeved in the square hole of vertical chi [2] and surveyor's staff [10] intersection.

2, simple harmonic oscillation according to claim 1 and sinusoidal curve demonstrating instrument, it is characterized in that: when two wheels (8,9) roll on end rail (1), surveyor's staff (10) is promptly done parallel moving, and paintbrush (Q) moves up and down in the slotted hole of vertical chi (2) synchronously.