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A plumb line gets inclined to vertical a...

A plumb line gets inclined to vertical at angle `theta` when the carriage travels with an acceleration a. The plumb line is suspended from the roof of the carriage. The acceleration a is given by

A

`a=g tan theta`

B

`a=g sin theta`

C

`a= g cos theta`

D

`a =g sec theta`

Text Solution

Verified by Experts

The correct Answer is:
A
Resolve tension in the plumb line into two rectangular components and equate the forces.
ma = `T sin theta`
`mg = T cos theta`
`therefore a/g = tan theta rArr a = g tan theta`
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