Lab3 - Lab No.3 Study of momentum of inertia with Maxwells...

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Lab No.3 Study of momentum of inertia with Maxwell’s pendulum Objective study the laws of mechanics for the rigid body by the example of its planar motion Main tasks 1. Experimental determination of momentum of inertia for the Maxwell’s pendulum by its fall time; 2. Calculation of momentum of inertia of Maxwell’s pendulum using the theoretical formula. 1. Theory of experiment Maxwell’s pendulum represents a disk, whose axis is suspended on two turning on it threads (fig. 1). It is possible to study experimentally dynamics laws of translational and rotational motions of rigid body using this pendulum, as well as the main law of physics − the law of mechanical energy conservation. Having rotated the pendulum, we raise the disk to height h and let go down without push, then the disk is starting to go down and at the same time to rotate around its horizontal axis. At the same time trajectory of all points of the disk lie in parallel plane (surface). Such motion of rigid body is called planar . It can be considered as the translational motion of the body, which is occurring with the velocity of centre of mass (centre of gravity, centre of inertia) and at the same time as the rotational motion around horizontal axes, passing through this center. The equation of motion for the centre of gravity and rotation of pendulum relatively to mentioned axes has the following form: ma = mg – 2T, (1) I = 2Tr, (2) where m is mass of the pendulum, I is momentum of inertia, а is acceleration of
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Lab3 - Lab No.3 Study of momentum of inertia with Maxwells...

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