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Figure below shows a small mass connecte...

Figure below shows a small mass connected to a string, which is attached to a vertical post. If the ball is released when the string is horizontal as shown, the magnitude of the total acceleration (including radial and tangential) of the mass as a function of the angle `Theta`is

A

`g sin theta`

B

`gsqrt(3 cos^2 theta +1)`

C

`g cos theta`

D

`gsqrt(3 sin^2 theta +1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Radial acceleration = `v^2/R = (2gl sin theta)/l = 2g sin theta`
`[ :. v = sqrt(2gh)]`
Tangential acceleration `= g cos theta`
Total acceleration
`=sqrt(4g^2 sin^2 theta cos^2 theta + g^2 cos^2 theta )implies g sqrt(1+3 sin ^2 theta)`
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