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Question

A square plate of mass 120 g and edge 5.0 cm rotates about one of the edges. If it has a uniform angular acceleration of 0.2rad/s2, what torque acts on the plate ?

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Solution

A square plate of mass 120 gm and edge 5 cm rotates about one of the edge.

Let take a small area of the square of width dx and length a which is at a distance from the axis of rotation.

Therefore, mass of that small area

=ma2×adx

(m = mass of the square, a = side of the plate)

l=a09(ma)2×ax2 dx

=[(ma)(x33)]a0

=[(ma)(x33)]a0=ma23

Therefore torque produced

=l×a=(ma23)×a

={(120×103×52×104)3.02}

=40×25×107×0.2

=0.2×101

=2×105Nm


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