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Rotational Motion question

2008 · Shift 2 · Q62

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JEE Advanced
Physics
Rotational Motion
2008 · Shift 2 · Q62

Rotational Motion question

2008 · Shift 2 · Q62

JEE AdvancedPhysicsRotational MotionMCQ+3 / −1

A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant

k

which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in a horizontal plane. The unstretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slipping with velocity

{\overrightarrow V _0} = {V_0}\widehat i

. the coefficient of friction is

\mu

.

IIT-JEE 2008 Paper 2 Offline Physics - Rotational Motion Question 16 English Comprehension

The centre of mass of the disk undergoes simple harmonic motion with angular frequency

\omega

equal to:

A
$\sqrt {{k \over M}}$
B
$\sqrt {{{2k} \over M}}$
C
$\sqrt {{{2k} \over {3M}}}$
D
$\sqrt {{{4k} \over {3M}}}$

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