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Question

Question: A uniform rod of length 2.0 m is suspended through an end and is set oscillating with small amplitud...

A uniform rod of length 2.0 m is suspended through an end and is set oscillating with small amplitude. The time period is approximately –

A

1.60 s

B

1.80 s

C

2.00 s

D

2.40 s

Answer

2.40 s

Explanation

Solution

T = 2pI0+m12mg1\sqrt { \frac { \mathrm { I } _ { 0 } + \mathrm { m } \ell _ { 1 } ^ { 2 } } { \mathrm { mg } \ell _ { 1 } } }

= 2pPut l = 2m, g = 9.81 m/s2

\ T = 2.40 s