- [Medium]A wheel of radius 0.4 m rolls without slipping along a level road while the speed of its centre is 5 m/s. What is the instantaneous speed of the topmo...
- [Medium]A thin square plate has a moment of inertia I about an axis lying in its plane and passing through its centre parallel to one edge. What is its moment...
- [Easy]A thin ring and a flat disc are made to have exactly equal masses M and equal radii R. What is the ratio of the moment of inertia of the ring to that ...
- [Medium]A constant torque of 5 N m is applied to a wheel of moment of inertia 2 kg m^2 that is initially at rest about its axis. What is the angular velocity ...
- [Medium]A uniform plank of negligible mass rests on a central pivot acting as a seesaw. A 30 kg child sits 1.5 m from the pivot on one side; how far from the ...
- [Medium]A solid cylinder rolls without slipping along a flat horizontal surface at a steady speed. What fraction of its total kinetic energy is contained in i...
- [Easy]A particle of mass 0.5 kg travels with a constant speed of 4 m/s along a straight line whose perpendicular distance from a fixed point O is 3 m. What ...
- [Easy]A rigid body of mass 4 kg is found to have a moment of inertia of 16 kg m^2 about a particular axis of rotation. What is the radius of gyration of thi...
- [Medium]A uniform disc of mass 2 kg and radius 0.5 m can rotate about an axis perpendicular to its plane. What is its moment of inertia about a parallel axis ...
- [Easy]A wheel starting from rest reaches an angular velocity of 20 rad/s in 4 seconds while subject to a constant angular acceleration. Through what total a...
- [Medium]A block of mass 2 kg hangs from a light string wound around a pulley of moment of inertia 0.1 kg m^2 and radius 0.2 m. Taking g as 10 m/s^2, what is t...
- [Medium]An industrial flywheel with a moment of inertia of 0.5 kg m^2 spins steadily at 600 revolutions per minute about its central axis. What is the rotatio...
- [Medium]A uniform rod of mass 3 kg and length 2 m is set rotating about an axis perpendicular to the rod and passing through one of its ends. What is its mome...
- [Medium]A figure skater spinning at 3 rad/s about a vertical axis pulls her outstretched arms inward, reducing her moment of inertia from 4 kg m^2 to 1.5 kg m...
- [Easy]A mechanic applies a 40 N force perpendicular to the free end of a wrench of length 0.25 m in order to loosen a tight bolt. What is the magnitude of t...
- [Easy]Two point masses of 2 kg and 6 kg are fixed at the two ends of a light rigid rod of length 1 m. At what distance from the 2 kg mass does the centre of...
- [Easy]Two equal and opposite forces of magnitude 5 N act on a body at a perpendicular distance of 0.6 m. What is the moment of the couple?...
- [Easy]A wheel rotates with a constant angular velocity of 4 rad/s. How many complete revolutions does it make in 10 seconds?...
- [Easy]A wheel starting from rest attains an angular velocity of 20 rad/s in 4 seconds. What is the angular acceleration?...
- [Easy]A torque of 10 N·m rotates a body through an angle of π radians. What is the work done?...
- [Easy]A body has a moment of inertia of 20 kg·m² and mass 5 kg. What is its radius of gyration?...
- [Hard]The moment of inertia of a disc of mass M and radius R about its center is MR²/2. What is its moment of inertia about a tangent in its plane?...
- [Easy]A flywheel of moment of inertia 4 kg·m² rotates at 5 rad/s. What is its rotational kinetic energy?...
- [Easy]A force of 10 N is applied at a distance of 0.5 m from the axis of rotation perpendicular to the force. What is the torque?...
- [Easy]What is the moment of inertia of a uniform rod of mass M and length L about an axis perpendicular to it through its center?...
- [Medium]Net torque does work equal to change in:...
- [Easy]A wheel rotates through 720 degrees. Angular displacement in radians is:...
- [Easy]A point on a rim of radius 0.5 m has linear speed 2 m/s. Angular speed is:...
- [Easy]Moment of inertia depends on:...
- [Medium]Parallel axis theorem adds term:...
- [Easy]Torque magnitude produced by force F at perpendicular distance r is:...
- [Easy]Rotational kinetic energy of rigid body is:...
- [Medium]For rolling without slipping, correct relation is:...
- [Easy]Angular momentum of particle of mass m moving with speed v in circle radius r about center is:...
- [Medium]Figure skater pulls arms inward reducing I to half. ω becomes:...
- [Medium]Total kinetic energy of rigid body rolling without slipping is:...
- [Hard]A uniform solid cylinder (I = (1/2) m r^2) rolls down incline of angle θ without slipping. Linear acceleration is (g=gravity):...
- [Easy]Tangential acceleration a_t relates to angular acceleration α by:...
- [Hard]A uniform rod of length L and mass M pivoted at one end released from horizontal. Angular speed at vertical position is (g acceleration):...
- [Hard]A hollow cylinder (I = m r^2) and solid cylinder (I = (1/2) m r^2) roll down same incline from rest. Ratio of their accelerations a_hollow : a_solid i...
- [Easy]A solid cylinder produces only Rolling Motion on rough horizontal surface with initial velocity v. The ratio of translational kinetic energy to total ...
- [Medium]Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. The moment of inertia of the system ab...