EASY
Agniveer Vayu
IMPORTANT
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A particle undergoes uniform circular motion. about which point of the plane of the circle, will the angular momentum of the particle remain conserved ?
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Important Questions on Systems of Particles and Rotational Motion
EASY
Agniveer Vayu
IMPORTANT
The magnitude of the torque on a particle of mass is about the origin. If the force acting on it is , and the distance of the particle from the origin is , the angle between the force and the position vector is (in radians):
EASY
Agniveer Vayu
IMPORTANT
A particle of mass 1 kg is moving along the line y = x + 2 (here, x and y are in metres) with speed 2 m/s. The magnitude of angular momentum of particle about origin is
MEDIUM
Agniveer Vayu
IMPORTANT
A uniform rod of mass and length is falling freely without rotation under gravity with horizontal. Suddenly the end is fixed when the speed of the rod is v. The angular speed with which the rod begins to rotate is
EASY
Agniveer Vayu
IMPORTANT
Two cylinder having radii 2R and R and moment of inertias 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity ω0. The small cylinder is moved to the right until it touches the large cylinder and is caused to rotated by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rate in opposite direction. During this
MEDIUM
Agniveer Vayu
IMPORTANT
A weightless ladder 20 ft long rests against a frictionless wall at an angle of from the horizontal. A 150 pound man is 4 ft from the top end of the ladder rested against the wall , A horizontal force is needed to keep it from slipping. Choose the correct magnitude of the force from the following
EASY
Agniveer Vayu
IMPORTANT
Two men each of mass m stand on the rim of a horizontal circular disc, diametrically opposite to each other. The disc has a mass M and is free to rotate about a vertical axis passing through its centre of mass. Each mass start simultaneously along the rim clockwise and reaches their original starting positions on the disc. The angle turned through by the disc with respect to the ground (in radian) is
EASY
Agniveer Vayu
IMPORTANT
A boy and a man carry a uniform rod of length L horizontally in such a way that boy gets th load. If the boy is at one end of the rod, the distance of the man from the other end is
EASY
Agniveer Vayu
IMPORTANT
Two equal and opposite force act on a rigid body at a certain distance. Then
