1.

The instantaneous angular position of a point on a rotating wheel is given by the equationtheta (t) = 2t^3 - 6t^2 .The torque on the wheel becomes zero at : .......... .

Answer»

`t = 1s`
`t = 0.5 s`
`t= 0.25 s `
`t =2s`

Solution :According to equation , TORQUE ` TAU = 0` it means that ` PROP = (d^2)/( dt^2)`
here ,` THETA = 2t^3 - 6t^2`
` alpha = (d^2)/(dt^2) (2t^3 - 6t^2) = 12T = 12`
` [ prop= (d^2 t)/(dt^2) = 0 ] = 12t - 12 = 0`
` therefore t = 1s `


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