MEDIUM
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Which body is responsible for initiating the process of amendment in the Indian Constitution?

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Important Questions on Systems of Particles and Rotational Motion

EASY
A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to 8×10-4 J by the end of the second revolution after the beginning of the motion?
MEDIUM
The moment of inertia of a ring about an axis passing through the centre and perpendicular to its plane is I. It is rotating with angular velocity ω. Another identical ring is gently placed on it so that their centres coincide. If both the rings are rotating about the same axis then loss in kinetic energy is
EASY
In a physical balance working on the principle of moments, when 5mg 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?
EASY
A disc of radius 2 m and mass 100 kg rolls on a horizontal floor. Its centre of mass has speed of 20 cm s-1. How much work is needed to stop it?
EASY
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ac is varying with time t as ac=k2rt2 , where k is a constant. The power delivered to the particle by the force acting on it is -
HARD
Force acting on a body is so directed that its line of action passes through any other point of the body. Explain the motion of the body in this case.
HARD

A cylinder moves with linear velocity v to the right and angular velocity ω in the anticlockwise direction. The cylinder was initially at rest. The cylinder does not perform pure rolling and stops after some time. What will be the radius of the cylinder?

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EASY
Can you think of a body that has the same moment of inertia for all possible axes? For all axes passing through a certain point? What point?
MEDIUM
Define translational motion of a rigid body. Explain with an example.
EASY
The moment of inertia of a body about a given axis is 1.2 kg m2. Initially, the body is at rest. In order to produce rotational kinetic energy of 1500 J, the angular acceleration of 25 rad s-2 must be applied about the axis for a duration of
HARD
Select the wrong statement -

Statement-I : A body may be in pure rotation under the action of single external force.

Statement-II : If a body is in pure rotation under action of single external force then it must not be rigid.
EASY
A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis is
EASY
A round object of mass M and radius R rolls down without slipping along an inclined plane. The frictional force,
HARD

A uniform sphere of radius R is projected on a horizontal surface with a velocity v0 and simultaneously given a spin ω0. Consequently, the sphere experiences a combined motion. Due to the friction between the sphere and the horizontal surface, both translational and rotational motion will stop simultaneously. Then, what must be the magnitude and direction of initial spin ω0?

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EASY
The cap of a pen can easily be opened with two fingers than one finger, why?
EASY

A rod of mass m and length l is hinged at one of its end A as shown in figure. A force F is applied at a distance x from A. The acceleration of centre of mass (a) varies with x as

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EASY
The type of the motion in which whole body gets displaced is called _____ motion.
MEDIUM

In the figure given below, the end B of the rod AB which makes angle θ with the floor is pulled with a constant velocity v0 as shown. The length of rod is l . At an instant when θ=37°
 

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EASY

Motion involving complete displacement of object.

(Choose from the following: Translational/Rotational)