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, A uniform rod of mass m and length / is held inclined at an angle of 600 with the vertical. What will-be potential energy of the rod in this position ?

a
m g I
b
m g I/2
c
m g I/3
d
m g I /4

detailed solution

Correct option is D

See fig. (12). Let the center of gravity of the rod be at aheight ft. From figure,h=OCsin⁡30∘=(l/2)sin⁡30∘=l/4  P.E. =mgh=mgl/4

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A simple pendulum is swinging in a vertical plane. The ratio of its potential energies when it is making angles300 and 600 with the vertical is,


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