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a uniform cube of side l and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face at a height 3l/4 above the base. Assuming that the cube may tip about an edge without slipping find the angular acceleration of the cube when F is equal to mg/3

  1. a uniform cube of side l and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face at a height 3l/4 above the base. Assuming that the cube may tip about an edge without slipping find the angular acceleration of the cube when F is equal to mg/3

Grade:12th pass

1 Answers

Khimraj
3007 Points
5 years ago
At the time of toppling the forces are acting as shown.
Normal force shift to the edge.
Taking moments about P
F×3a/4==mga/2
F=2mg/3

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