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A particle of mass is projected with a velocity ' making an angle 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
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Important Questions on Rotational Mechanics
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A girl of mass stands on the rim of a friction less merry-go-round, of radius and rotational inertia , that is not moving. She throws a rock of mass 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 . Afterwards, the linear speed of the girl is
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Two fly wheels and are mounted side by side with frictionless bearings on a common shaft. Their moments of inertia about the shaft are and respectively. Wheel is made to rotate at revolution per second. Wheel B, initially stationary, is now coupled to with the help of a clutch. The rotation speed of the wheels will become
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A sphere and a hollow cylinder without slipping, roll down two separate inclined planes A and B respectively. They cover same distance in a given duration. If the angle of inclination of plane A is , then and the angle of inclination of plane B must be (approximately).
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Kinetic energy of rotation of a flywheel of radius mass and angular speed about an axis perpendicular to its plane and passing through its center is
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A wheel having moment of inertia about its axis, rotates at about the same axis. The torque required to stop the wheel in one minute is
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If an energy of is needed to increase the speed of a fly wheel from to , then find its moment of inertia.
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As solid sphere of mass ' ' and radius ' ' spins about an axis passing through its centre making . Its kinetic energy of rotation is
