The roller of diameter 0.6 m has to be raised on the pavement XY by forces F1 and F2 each of magnitude 15 N. The ratio of torques produced by the two forces is __________.
A
1:3
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B
1:2
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C
3:1
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D
2:1
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Solution
The correct option is D 2:1 We know that:
Torque = Force × Perpendicular distance
Now,
Torque due to F1 = 15 N × 0.6 m = 9 N m
Torque due to F2 = 15 N × (0.6/2) m = 4.5 N m
Thus,
Ratio of both the torques = 9/4.5 = 2:1