A rectangular block has a square base measuring a×a, and its height is h, It moves with a speed v on a smooth horizontal surface

It will topple if v > 2 ga 2 / h

Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

A rectangular block has a square base measuring $a \times a$ , and its height is h, It moves with a speed v on a smooth horizontal surface

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

It will topple if $v > \sqrt{2 ga} .$

It will topple if $v > \sqrt{2 {ga}^{2} / h}$

It will topple if $v > \sqrt{2 gh} .$

It will not topple for any value of v

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Given,

Rectangular block, square base = $a \times a$

height = h

speed = v

We know A body topples due to an unbalanced torque about its centre of mass.
But here, there are is two forces acting on block and they are Mg and N.

Mg & N both passes through the centre of mass and hence produce no torque.
So, block will not topple for any value of V.

Hence the correct answer is it will not topple for any value of v.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE