An equilateral prism of mass rests on a rough horizontal surface with coefficient of friction . A horizontal force is applied on the prism as shown. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is:
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Official Solution
Correct Option: (1)
Step 1: At the point of toppling, prism rotates about the bottom edge. Step 2: Taking moments about the edge:
Step 3:
02
PYQ 2014
medium
physicsID: bitsat-2
An equilateral prism of mass rests on a rough horizontal surface with coefficient of friction . A horizontal force is applied on the prism as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is -
1
2
3
4
Official Solution
Correct Option: (1)
The tendency of rotation will be about the point C. For minimum force, the torque of F about C has to be equal to the torque of mg about C.