Q.
A wheel of radius 20 cm has forces applied to it as shown in the figure. The net torque produced by the forces 4 N at A, 8 N at B, 6 N at C and 9 N at Dat angles indicated is :
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a
5.4 Nm anticlockwise
b
1.80 Nm clockwise
c
2.0 Nm clockwise
d
5.4 Nm clockwise
answer is B.
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Detailed Solution
Moment of 4 N force=4×20100N−m (anticlockwise) Moment of 8 N force=8×20100×sin30∘N−m (clockwise Moment of 9 N force =9×20100N−m(clockwise)Moment of 6 N force=6×20100×sin0∘=0∴ τ=4×0.2−8×0.2×12−9×0.2=−1.8N−m=1.8N−m (clockwise)
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