Q.

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. If m = 6 kg then find the minimum value of F in N for which the cube begins to tip about an edge.

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept

By Expert Faculty of Sri Chaitanya

answer is 40.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

In the limiting case normal reaction will pass through A. The cube will tip about A if torque of F exceeds the torque of mg.Hence, F3a4>mga2 or F>23mg=23×6×10=40 NTherefore, minimum value of F is 40 N.

Choose your Grade and Exam

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.