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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 center of the face ata height 3l/4 above the base. Assuming that the cube may tip about an edgewithout slipping find the angular acceleration of the cube when F is equal to (a) mg/3 (b) mg

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 center of the face ata height 3l/4 above the base. Assuming that the cube may tip about an edgewithout slipping find the angular acceleration of the cube when F is equal to (a) mg/3 (b) mg

Grade:11

1 Answers

Arun
25750 Points
6 years ago
Dear Vinay
 
the direction of forces has been shown. Normal force shift to the edge.By taking moments at P we will get;

F×3a/4=mg a/2
F= mg a/2 x 4/3a
F=2/3mg
 
Regards
Arun (askIITians forum expert)

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