A cubical block of mass m and edge a slides down a rough inclined plane of inclination θ with a uniform speed.

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asked Mar 30, 2018 in Physics by anukriti (13,536 points) 5 10 19

A cubical block of mass m and edge a slides down a rough inclined plane of inclination θ with a uniform speed. Find the torque of the normal force acting on the block about its centre.

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answered Mar 30, 2018 by faiz (82,347 points) 6 6 11
selected Mar 30, 2018 by anukriti
 
Best answer

The force mg acting on the body has two components mg sin θ and mg cos θ and the body will exert a normal reaction. Let R =
Since R and mg cos θ pass through the centre of the cube, there will be no torque due to R and mg cos θ. The only torque will be produced by mg sin θ.
i = F × r (r = a/2) (a = ages of the cube)
i = mg sin θ × a/2
= 1/2 mg a sin θ.

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