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Questions  

A simple pendulum of length l and bob of mass m is displaced from its equilibrium position O to a position P so that height of P above O is h. It is then released. What is the tension in the string when the bob passes through the equilibrium position O? Neglect friction. V is the velocity of the bob at O

a
m(g+v2l)
b
1 and 4 both are correct.
c
mg(1+hl)
d
mg(1+2hl)

detailed solution

Correct option is B

from equation of motion v2=2ghfor vertical circular motion, T−mg=mv2l, here T is tension in the string , m is mass of body, gg is acceleration due to gravity, v is velocity of the body, l is length of the string⇒T=mg+m(2gh)l⇒T=mg(1+2hl)

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