First slide

Simple harmonic motion

Question

An irregular lamina of mass 10 kg has moment of inertia 25 kg/m² is suspended from a steel wire of negligible mass whose couple per unit twist is 16 Nm/rad. It is allowed to execute small angular oscillations. It takes time T to complete one full oscillation. The value of T is

Moderate

A

2.5 s
B

$\frac{5 π}{2} s$
C

0.4 s
D

$5 π s$

Solution

$\begin{array}{l} For torsional pendulam, T = 2 π \sqrt{\frac{I}{c}} \\ T = 2 π \sqrt{\frac{25}{16}} \\ T = 2 π (\frac{5}{4}) \\ T = (\frac{5 π}{2}) \end{array}$

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