Question

A simple pendulum has time period T. A uniform rod, whose length is the same as that of the pendulum, undergoes small oscillations about its upper end. Its time period of oscillation will be –

• A. < T
• B. T
• C.

  T

• D. May be (1), (2) or (3) depending on whether T is <, equal to or > 2 seconds

Answer 1

Answer: (A)

< T

Answer 2

Simple Pendulum T = 2p

t = mg $\frac { \ell } { 2 }$ sin q = – Ia = – a

a = – $\left( \frac { 3 \mathrm {~g} } { 2 \ell } \right)$ q

Time period = 2p < T