A simple pendulum is suspended from the ceiling of a car taking a turn of radius 10 m at a speed of 36 km/h. Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turn. Take `g=10 m/s^2`.

Answer

D

Explanation

A pendulum is suspended from the ceiling of a car taking a turn. `
`f=10 m, `
v=36 km/hr`
`=10 m/sec`
` g=10 m/sec^2`

From the ure
`Tsintheta=(mv^2)/r`………i
`Tcostheta=mg` ……..ii
`rarr ((sintheta)/(costheta))=((mv^2)/(rmg)`
`rarr tantheta=(v^2/(rg))`
`rarr theta=tan^-1(v^2/rg)`
`tan^-1 [100/((10xx10))]`
`=tan^-1(1)`
` rarr theta =45^0`