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A car is moving in a circular horizontal...

A car is moving in a circular horizontal track of radius 10 m with a constant speed of `10ms^(-1)`. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1 m. The angle made by the rod with track is

A

zero

B

`30^@`

C

`45^@`

D

`60^@`

Text Solution

Verified by Experts

The correct Answer is:
C
When the car is moving in a horizontal track of radius `10 m` with constant speed, then the bob is also under going a circular motion. The bob is under the influence of two forces.

i. `T` tension in the rod)
ii. mg( weight of the bob)
Resolving tension, we get
`Tcostheta=mg`.....i
and `T sin theta=(mv^(2))/r`............ii
(Here `Tsintheta` is producing the necessary cenripetal force for the circlar motion)
dividing eqn i and ii we get
`tantheta=(v^(2))/(rg)=(10x10)/(10xx10)=1impliestheta=45^@`
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