CN103150945A - Experimental instrument for parallel axis theorem - Google Patents

Experimental instrument for parallel axis theorem Download PDF

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Publication number
CN103150945A
CN103150945A CN2013101122139A CN201310112213A CN103150945A CN 103150945 A CN103150945 A CN 103150945A CN 2013101122139 A CN2013101122139 A CN 2013101122139A CN 201310112213 A CN201310112213 A CN 201310112213A CN 103150945 A CN103150945 A CN 103150945A
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China
Prior art keywords
rigid body
parallel axis
magnet
fixed
axis theorem
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CN2013101122139A
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CN103150945B (en
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苗泉龙
罗浩
陈健
彭亚蒙
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Jiangnan University
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Jiangnan University
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Abstract

The invention discloses an experimental instrument for the parallel axis theorem. The experimental instrument comprises a base, an upright which is vertically and fixedly arranged on the base, a rotary shaft, a magnet and a rigid body, wherein the rotary shaft is horizontally fixed on the upright, and the magnet is fixedly arranged at the head of the rotary shaft. The rigid body is made from a magnetic material, so that the rigid body is absorbed on the magnet and can rotate around the rotary shaft. The rotary shaft of the rigid body can be changed through changing the absorption site of the rigid body. The parallel axis theorem can be verified and rotary inertia can also be obtained through measurement of a rotation period of the rigid body. The experimental instrument provided by the invention is simple and novel in structure, practical, convenient, and beneficial for quantitative research of a rotation law of the rigid body.

Description

The parallel axis theorem experiment instrument
Technical field
The invention belongs to the physical experiment apparatus field, be specially a kind of parallel axis theorem experiment instrument.
Background technology
The rotation period that rigid body round fixed axis is done small size rotation is
Figure 612040DEST_PATH_IMAGE001
, in formula, m is the quality of rigid body, and d is the distance that barycenter arrives rotating shaft, and J is the moment of inertia of rigid body round fixed axis.According to parallel axis theorem: J=J C+ md 2, J in formula CAround the moment of inertia that parallels with dead axle, pass through the axle of barycenter, d is the distance between two-parallel axis for rigid body.By above-mentioned formula as seen, when same rigid body rotated around different rotating shafts, its moment of inertia J and rotation period T can change thereupon.In Physical Experiment, lack the experimental provision of the above-mentioned rule of quantitative verification.
Summary of the invention
The technical problem to be solved in the present invention is a kind of parallel axis theorem experiment instrument that can verify parallel axis theorem and Rigid Body in Rotation With rule of exploitation.
In order to solve the problems of the technologies described above, the present invention by the following technical solutions:
A kind of parallel axis theorem experiment instrument comprises base, vertically is fixed in vertical rod, rotating shaft, magnet and rigid body on base, and rotating shaft is horizontally fixed in vertical rod, and magnet is fixed on shaft head, and rigid body is logical magnetic material, and rigid body is adsorbed on magnet and can rotates around the axis.
Rigid body of the present invention is the equally distributed irony ruler of quality.
The present invention also comprises detection platform, photoelectricity door and timer, and detection platform is movably fixed in vertical rod, and the photoelectricity door is fixed on detection platform, and the photoelectricity door links the rotation period that timer is used for measuring rigid body.
The invention has the beneficial effects as follows: in this experiment instrument, on rigid body, any place can be by magnet adsorption in rotating shaft, the absorption position that changes rigid body can change its rotation axis, measurement by the Rigid Body in Rotation With cycle can be verified parallel axis theorem, also can obtain the moment of inertia of rigid body round fixed axis, the present invention's novelty simple in structure, practical and convenient, be conducive to the rotating rule of quantitative examination rigid body.
Description of drawings
The invention will be further described below in conjunction with accompanying drawing.
Fig. 1 is structural representation of the present invention.
Fig. 2 is the schematic diagram of rigid body of the present invention (irony ruler).
In figure: 1. base, 2. vertical rod, 3. rotating shaft, 4. magnet, 5. rigid body, 6. detection platform, 7. photoelectricity door, 8. timer, 9. leveling knob.
Embodiment
As shown in Figure 1, vertical rod 2 is vertically fixed on base 1, and base 1 below is provided with leveling knob 9 and is used for adjusting base 1 level, and rotating shaft 3 is horizontally fixed in vertical rod 2, and the head fixed magnet 4 of rotating shaft 3, rigid body 5 are adsorbed on magnet 4, and adsorption site can be selected as required.Discharge after making rigid body 5 depart from the equilibrium position, rigid body 5 can be around the shaft 3 comes back rotation.Detection platform 6 is movably fixed in vertical rod 2, is positioned at the extreme lower position below of rigid body 5, and photoelectricity door 7 is fixed on detection platform 6, and photoelectricity door 7 links the rotation period T that timer 8 is used for measuring rigid body 5.
As shown in Figure 2, rigid body 5 is the equally distributed irony ruler of quality m, and the surface is provided with the reading groove, and total length is L, establish on blade the O place and be adsorbed on magnet 4, from can directly read on blade rotating shaft O (adsorption site) to ruler barycenter C apart from d.This ruler moment of inertia of O around the shaft is:
Figure 873257DEST_PATH_IMAGE002
Rotation period is:
Figure 604453DEST_PATH_IMAGE003
Measure rotation period T corresponding to different d, can verify parallel axis theorem.

Claims (3)

1. parallel axis theorem experiment instrument, it is characterized in that: comprise base (1), vertically be fixed in vertical rod (2), rotating shaft (3), magnet (4) and rigid body (5) on base (1), rotating shaft (3) is horizontally fixed in vertical rod (2), magnet (4) is fixed on rotating shaft (3) head, rigid body (5) is logical magnetic material, and rigid body (5) is adsorbed on (3) rotation around the shaft on magnet (4).
2. parallel axis theorem experiment instrument according to claim 1, it is characterized in that: rigid body (5) is the equally distributed irony ruler of quality.
3. parallel axis theorem experiment instrument according to claim 1, it is characterized in that: also comprise detection platform (6), photoelectricity door (7) and timer (8), detection platform (6) is movably fixed in vertical rod (2), photoelectricity door (7) is fixed on detection platform (6), and photoelectricity door (7) links the rotation period that timer (8) is used for measuring rigid body (5).
CN201310112213.9A 2013-04-02 2013-04-02 Experimental instrument for parallel axis theorem Expired - Fee Related CN103150945B (en)

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CN201310112213.9A CN103150945B (en) 2013-04-02 2013-04-02 Experimental instrument for parallel axis theorem

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CN103150945B CN103150945B (en) 2014-11-05

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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN86108944A (en) * 1986-12-27 1988-07-20 南开大学 Air-cushion rotating disc
WO1988008867A1 (en) * 1987-05-07 1988-11-17 Souheil Makkouk Apparatus for demonstration and investigation in the study of the law of the moment of inertia
CN200972729Y (en) * 2006-04-24 2007-11-07 辽宁师范大学 Photoelectric control system of angular momentum conservation measurement instrument
CN201927242U (en) * 2010-12-30 2011-08-10 季倬 Simple pendulum device with magnet
CN202434099U (en) * 2011-12-28 2012-09-12 上海外国语大学附属大境中学 Single pendulum vibration demonstration device

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN86108944A (en) * 1986-12-27 1988-07-20 南开大学 Air-cushion rotating disc
WO1988008867A1 (en) * 1987-05-07 1988-11-17 Souheil Makkouk Apparatus for demonstration and investigation in the study of the law of the moment of inertia
CN200972729Y (en) * 2006-04-24 2007-11-07 辽宁师范大学 Photoelectric control system of angular momentum conservation measurement instrument
CN201927242U (en) * 2010-12-30 2011-08-10 季倬 Simple pendulum device with magnet
CN202434099U (en) * 2011-12-28 2012-09-12 上海外国语大学附属大境中学 Single pendulum vibration demonstration device

Non-Patent Citations (4)

* Cited by examiner, † Cited by third party
Title
周雨青,刘甦: ""如何通过测量复摆的周期计算转动惯量"", 《物理与工程》 *
孟泉水,班丽瑛,朱金山: ""用复摆法测量刚体的转动惯量"", 《西安科技学院学报》 *
徐军华,徐兰珍,王树林: ""刚体转动惯量的一种新型测量法——复摆法"", 《西安邮电学院学报》 *
李建全,王宁,李岩生: ""复摆实验组合仪的设计"", 《枣庄学院学报》 *

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