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The angular displacement at any time t i...

The angular displacement at any time t is given by `theta(t) = 2t^(3)-6^(2)`. The torque on the wheel will be zero at

A

1 s

B

0.1 s

C

2 s

D

0.2s

Text Solution

Verified by Experts

a) Given, `theta`(t) = 2t^(2)-6t^(2) rArr (dtheta)/(dt) = 6t^(2)-12t`
`d^(2)theta)/(dt^(2)` = 12t -12
For torque, `rho = Ialpha`=0
`(d^(2)theta))/(dt^(2))` =0 rArr 12t^(2)-12 =0
`therefore` t=1s
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