Q.

 A simple  pendulum  of length   is set  in motion  such   that the  bob, of mass m, moves  along  a horizontal  circular  path, and  string  makes  a constant  angle θ with the  vertical. The  time period  of rotation  of the bob is t and  tension  in the  thread is T.

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a

t=2π/g

b

t=2πcosθ/g

c

The bob is in equilibrium 

d

T=4π2mt2

answer is B, C.

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Detailed Solution

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Tsinθ=mω2  orT=mω2[r=sinθ]

Tcosθ=mg  ormω2/cosθ=mg

orω2=gcosθ

t=2πω=2πcosθg

T=m[4π2t2]

 

 

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