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A pendulum is hanging from the ceiling o...

A pendulum is hanging from the ceiling of a car having an acceleration `a_0` with respect to the road. Find the angle made by the string with the vertical.

Text Solution

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Since bob of the pendulum is stationary relative to car.
Hence
`T sin theta=ma_(0) " (pseudo force) " ...(i)`
`T cos theta=mg " " ...(ii)`
Dividing (i) by (ii), we get
`tan theta=(a_(0))/(g) rArr theta = "tan"^(-1)(a_(0))/(g)`
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