A disc of 10.1 cm radius and mass 1 kg is suspended in a horizontal plane by a vertical wire attached to its Centre. If the dimeter of a wire is 0.1 mm and its length is 1.5 m and the time period of torsional vibrations of the disc is 5 s, find the rigidity modulus eeta of the material of the wire.

A disc of 10.1 cm radius and mass 1 kg is suspended in a horizontal plane by a vertical wire attached to its Centre. If the dimeter of a wire is 0.1 mm and its length is 1.5 m and the time period of torsional vibrations of the disc is 5 s, find the rigidity modulus eeta of the material of the wire.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.12P

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

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