Home
Class 12
PHYSICS
A uniform cube of side and mass m rests ...

A uniform cube of side and mass m rests on a rough horizontal surface. A horizontal force F is applied normal to one face at point that is directly above the centre of the face at a height `(a)/(4)` above the centre. The minimum value of F for which the cube begins to topple above an edge without sliding is

A

`1/4 mg`

B

2mg

C

`1/2 mg`

D

`2/3 mg`

Text Solution

Verified by Experts

The correct Answer is:
D
For the cube to topple about P.
`tau_(F) gt tau_(mg)`
or `F(3a)/4 gt (mg)a/2` or `F gt 2/3 mg`

Minimum value of F is `2/3` mg
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise LEVEL - 1 (Mixed Numerical Questions)|15 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise LEVEL - 2 (Rotatinal Kinematics, Moment of Inertia)|10 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise LEVEL - 1 (Angular Momentum, Collision)|15 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise PHYSICS|25 Videos

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos

Similar Questions

Explore conceptually related problems

A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point directly above the centre of the face, at a height (3a)/(4) above the base. What is the minimum value of F for which the cube begins to tip about an edge?

A uniform cube of side 'a' and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point directly below the centre of the face, at a height a//4 above the base. a. What is the minimum value of F for which the cube begins to tip about an edge? b. What is the minimum value of its so that toppling occurs? c. If mu=mu_("min") find minimum force for topping. d. Find minimum mu_(s) so that F_("min") can cause toppling.

If the friction is sufficient to prevent the block from sliding, then the minimum value of F for which the cube begins to topple about an edge is

A uniform sphere is place on a smooth horizontal surface and as horizontal force F is appied on it at a distance h above the surface. The acceleratioin of the centre

A solid sphere of mass ma nd radis R is placed on a rough horizontal surface A horizontal force F is applied to sphere at a height h, (0lehleR) from centre. If sphere rolls slipping then,

A block of unknown mass is at rest on a rough, horizontal surface. A horizontal force F is applied to the block. The graph in the figure shows the acceleration of the block with respect to the applied force. The mass of the block is

A solid sphere of radius R is placed on a smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of the centre of mass

A solid sphere of radius R is placed on a smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of the centre of mass

A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is

A unifrom cube of mass m and side a is placed on a frictionless horizontal surface .A vertical force F is applied to the edge as shown in figure ,match the following (most appropriate choice )