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Class XI Physics System of Particles & Rotational Motion 8

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Question 1

A cubical block of side 30 cm is moving with velocity 2 ms-1 on a smooth horizontal surface. The surface has a bump at a point O as shown in figure. The angular velocity (in rad/s) of the block immediately after it hits the bump, is:

Question 2

In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?

Question 3

A uniform rod AB of mass m & length is at rest on a smooth horizontal surface. An impulse P is applied to the end B. The time taken by the rod to turn through 180 ° is

Question 4

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (friction-less) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

Question 5

Consider a cylinder of mass M resting on a rough horizontal plank that is pulled out from under it with an acceleration ‘a’ perpendicular to the axis of the cylinder. What is at point P? It is assumed that the cylinder does not slip.

Question 6


A particle is released on a vertical smooth semicircular track from point X so that OX makes angle from the vertical (see figure). The normal reaction of the track on the particle vanishes at point Y where OY makes angle with the horizontal. Then

Question 7

Moment of inertia of a circular wire of mass M and radius R about its diameter is:

Question 8

Consider a thin uniform square sheet made of a rigid material. If its side is ‘a’, mass m and moment of inertia I about one of its diagonals, then:
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Jul 21JEE & BITSAT