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251.

An equilateral prism of mass `m` rests on a rough horizontal surface with coefficient of friction `mu`. A horizontal force `F` is applied on the prism as shown in figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, the minimum force required to topple the prism is A. `(mg)/(sqrt(3))`B. `(mg)/4`C. `(mu mg)/(sqrt(3))`D. `(mumg)/4`

Answer» Correct Answer - A
About right base corner, `tau_(F)=tau_(mg)`
Discussion
252.

A cubical block of side `L` rests on a rough horizontal surface with coefficient of friction `mu`. A horizontal force `F` is applied on the block as shown. If the coefficient of frictions sufficienty high so that the block does not slide before toppling, the minimum force required to topple the block is : .A. `mg//4`B. infinitesimalC. `mg//2`D. `mg(1-u)`

Answer» Correct Answer - C
(F) (perpendicular distance)=`mg`(perpendicular distance) `FL=mg[1/2]impliesF=(mg)/2`
Discussion
253.

A particle of mass `m` is moving along a circle of radius `r` with a time period `T`. Its angular momentum isA. `(2pimr)/T`B. `(4pimr)/T`C. `(2pimr^(2))/T`D. `(4pimr^(2))/T`

Answer» Correct Answer - C
`L=mvr` and `V=(2pir)/T`
Discussion
254.

A uniform rod is fixed to a rotating turntable so that its lower end is on the axis of the turntable and it makes an angle of `20 %` to the vertical. (The rod is thus rotating with uniform angular velocity about a vertical axis passing through one end.) If the turntable is rotating clockwise as seen from above. . Is there a torque acts on it, and it so in what direction ?A. Yes,verticallyB. Yes,horizontally Yes at `20^(@)` to the horizontalyC. NoD.

Answer» Correct Answer - C
The centre of mass of the rod is moving like a conical pendulam with respect to its lower and
Discussion