Start Free Mock LoginAlready registered? Login here

Physics - Center of Mass Question with Solution | TestHub

PhysicsCenter of MassMotion of centre of massHard2 minQB

PhysicsHardsingle choice

Passage / Comprehension

A small object of mass $m = 1 kg$ is released from rest at the top of an inclined plane that connects to a horizontal plane without an edge. it slides onto a cart of mass M that has a semi-cylindrical surface of radius $R = 0.36 m$ fixed to the middle of it, as shown in the figure. The small object reaches the topmost point of the semi-cylinder and stops there. It continues to move vertically with free fall and hits the cart exactly at the edge. All friction can be neglected.\\

What is the minimum possible length of the cart ?

Options:

Answer:

Solution:

Minimum-speed case: $N = 0$ at the top, so $\frac{v _{re l}^{2}}{R} = g$ ; the object's ground velocity at the top is zero, hence $V = v_{re l} = g R$ .

Free fall from height $2 R$ : $t = \frac{4 R}{g}$ ; the cart covers $s = V t = 2 R$ .

Minimum cart length $L = 2 s = 4 R$ - (D)

Stream:JEESubject:PhysicsTopic:Center of MassSubtopic:Motion of centre of mass

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...