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A small ball of mass 1.0 kg is attached ...

A small ball of mass 1.0 kg is attached to one end of a 1.0 m long massless string and te other end of the string is hung from a point `O`. When the resulting pendulum is making `30^(@)C` from the vertical, what is the magnitude of net torque about the point of suspension? [Take `g=10m//s^(2)`]

Text Solution

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two forces are acting on the ball
(i) tension (T)l,
(ii) weight (mg)
torque of tension about point O is zero. As it passes through O.
`tau_(mg)=Fxxr_(bot)`
Here, `r_(bot)=OP=1.0sin30^(@)=0.5m` ltbr `tau_(mg)=(mg)(0.5)`
`=(1)(10)(0.5)=5N-m`
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