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A rod of length L can be hinged at variu...

A rod of length `L` can be hinged at varius points on it to work as a compound pendulum. At what distance from one end of the rod should be hinged so that there are only two point on the rod (each side of centre of mass) for which time period is same.

A

0.5 L

B

0.2 L

C

0.4 L

D

0.3 L

Text Solution

Verified by Experts

The correct Answer is:
B
Time period will be minimum about a point at a distance K
(radius of gyration) from COM.
for rod `k=(L)/(2sqrt(3))~=0.29`L on either side of COM
From on end `0.5l +- 0.29=0.21L, 0.79L`
`~=0.2L,0.8L`
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