A disc of radius R and mass M is connected to two springs (spring constant = k) as shown in figure. If the disc rolls without slipping, then the natural frequency of vibration of the disc is k k A ww R. R+a (a) 4k 4k R (b) 17 VM 3M R+a (c) 2k R+a (d) R R V3M 3M

A disc of radius R and mass M is connected to two springs (spring constant = k) as shown in figure. If the disc rolls without slipping, then the natural frequency of vibration of the disc is k k A ww R. R+a (a) 4k 4k R (b) 17 VM 3M R+a (c) 2k R+a (d) R R V3M 3M

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

A disc of radius R and mass M is connected to two springs (spring constant = k) as shown in
figure. If the disc rolls without slipping, then the natural frequency of vibration of the disc is
k
A
R.
R+a
(a)
4k
R 4k
(b)
17 VM
3M
R+a
(c)
2k
R+a
(d)
R V3M
R V3M

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