A car is moving in a circular horizonta track of radius 10m with a constant speed of 10 m/s. A pendulum bob is suspended from the roof of the cat by a light rigid rod of length 1.00m. The angle made by the rod with track is

Options

A. Zero
B. `30^(@)`
C. `45^(@)`
D. `60^(@)`

Answer

C

Explanation

The centripetal acceleration provides a centrifugal force to the bob in the horizontal direction, causing it to get an acceleration in horizontal direction is equal to-
`v^(2)/R = 10 m//s^(2)`

g act downwrd `= 10 m//s^(2)`
`tan theta = 10/10 = 1 rArr theta = 45^(@)`