Q.

A 5 kg body has moment of inertia 9 kg/m2 is suspended from a steel wire of  negligible mass whose couple per unit twist is 49 Nm/rad. It executes small  angular oscillations with a time period of

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a

2.5 s

b

9π7s

c

0.4 s

d

6π7s

answer is D.

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Detailed Solution

For torsional pendulam,T=2πIc I is moment of inertia ; c is couple per unit twistsubstitute the given values I=9 N sq met; C=49Nm/rad⇒T=2π949 ⇒T=2π37 ⇒T=6π7
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A 5 kg body has moment of inertia 9 kg/m2 is suspended from a steel wire of  negligible mass whose couple per unit twist is 49 Nm/rad. It executes small  angular oscillations with a time period of