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The moment of momentum is called

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Important Questions on Rotational Mechanics

MEDIUM

Four point masses, each of mass m, are fixed at the corners of a square of side I. The square is rotating with angular frequency ω, about an axis passing through one of the corners of the square and parallel to the diagonal, as shown in the figure. The angular momentum of the square about the axis is

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MEDIUM
The time dependence of the position of a particle of mass m=2 is given by  r t=2t i^-3t2j^ . Its angular momentum, with respect to the origin, at time t=2  is:
EASY
A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth's radius Re. By firing rockets attached to it, its speed is instantaneously increased in the direction of its motion so that it become 32 times larger. Due to this the farthest distance from the centre of the earth that the satellite reaches is R. Value of R is :
EASY
A particle of mass m is moving with a constant velocity along a line parallel to the positive direction of X-axis. The magnitude of its angular momentum with respect to the origin
EASY
A ball of mass 160 g is thrown up at an angle of 60° to the horizontal at a speed of 10 m s-1. The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly g=10 m s-2
EASY
A rock of mass m is thrown at an angle α with respect to the horizontal. Assume the acceleration due to gravity is g and that the motion of the rock is in the Y-Z plane. The component of the angular momentum at time t in the  X-direction is
EASY

A particle is moving uniformly along a straight line as shown in the figure. During the motion of the particle from A to B, the angular momentum of the particle about O''

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EASY
Angular momentum of a single particle moving with constant speed along circular path :
MEDIUM

A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6 m. The height of the table from the ground is 0.8 m. If the angular speed of the particle is 12 rad s-1 , the magnitude of its angular momentum about a point on the ground right under the center of the circle is:

HARD
A particle of mass m is moving along the side of a square of side 'a', with a uniform speed υ in the x-y plane as shown in the figure:

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Which of the following statements is false for the angular momentum L about the origin?
EASY
The dimension of the ratio of angular momentum to linear momentum is:
MEDIUM
A bob of mass m attached to an inextensible string of length l  is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ω  rad/s about the vertical. About the point of suspension :
HARD
A particle of mass m is projected with a velocity v making an angle of 45° with the horizontal. The magnitude of angular momentum of the projectile about an axis of projection when the particle is at maximum height h is,
EASY
If the time period is doubled, then the angular momentum of the body will (provided the moment of inertia of the body is constant)
HARD
A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm, about an axis normal to its circular plane and passing through its centre of mass. The retarding torque required to bring the disc at rest in 10 s is _________π×10-1 N m
MEDIUM
A girl of mass M stands on the rim of a friction less merry-go-round, of radius R and rotational inertia I, that is not moving. She throws a rock of mass m horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground is v. Afterwards, the linear speed of the girl is
MEDIUM
A particle of mass 'm' is projected with a velocity 'u' ' making an angle 'θ' with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height is
HARD
A rectangular solid box of length 0.3 m is held horizontally, with one of its sides on the edge of a platform of height 5 m . When released, it slips off the table in a very short time τ=0.01 s , remaining essentially horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to:
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EASY
Two rotating bodies,  A and B of masses,  m and 2m with moments of inertia IA and IB IB>IA have equal kinetic energy of rotation. If, LA and LB be their angular momenta, respectively, then,
HARD
A particle of mass 20 g is released with an initial velocity 5 m s-1 along the curve from the point A, as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. When the particle reaches point B, its angular momentum about O will be: (Take g=10 m s-2)

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