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A plumb bob is hanging from the ceilin...

A plumb bob is hanging from the ceiling of car. If the car move with acceleration a, the angle made by the string with the vertical is

A

` tan ^( -1 ) (( a ) /( g )) `

B

` tan ^( - 1 ) ( ( g )/( a )) `

C

` cos ^( - 1 ) (( g )/( a )) `

D

` cos ^( - 1) (( a )/( g )) `

Text Solution

Verified by Experts

The correct Answer is:
A
When car moves towards right with acceleration a then due to Pseudo force the bob will tilt in backward direction making an angle ` theta ` with vertical.

` tan theta = ( a ) / (g ) `
` therefore theta = tan ^( -1 ) (( a )/( g )) `
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