- [Hard]A force is applied to a particle whose position vector relative to the origin is given, and the force is directed parallel to that position vector. Wh...
- [Hard]A thin circular ring of mass M and radius R has a moment of inertia MR² about its central axis perpendicular to its plane. What is its moment of inert...
- [Medium]A uniform beam of weight 200 N and length 4 m rests horizontally on two supports placed at its two ends. What is the upward reaction force provided by...
- [Easy]A point on the rim of a wheel of radius 0.50 m moves while the wheel rotates at a constant angular velocity of 8 rad/s. What is the linear speed of th...
- [Medium]A bomb at rest in deep space suddenly explodes into several fragments that fly off in different directions. What can be said about the motion of the c...
- [Medium]A constant torque of 5 N·m acts on a wheel and turns it through an angular displacement of 8 radians about its fixed axis. How much rotational work is...
- [Medium]A solid sphere and a thin spherical shell have the same mass and the same radius and rotate about their respective diameters. Which body has the great...
- [Medium]A child of negligible spin sits on a rotating stool that turns at 2 rad/s with moment of inertia 4 kg·m²; he then extends weights so the inertia rises...
- [Hard]A solid cylinder is released from rest and rolls without slipping down an incline making an angle whose sine equals 0.30, with gravitational accelerat...
- [Hard]A uniform solid cylinder rolls without slipping along a horizontal surface. What fraction of its total kinetic energy is associated with the rotation ...
- [Easy]A turntable of moment of inertia 0.6 kg·m² spins steadily about its vertical axis at an angular velocity of 10 rad/s. What is the magnitude of the ang...
- [Medium]A rigid body of mass 8 kg has a moment of inertia of 32 kg·m² about a particular axis of rotation. What is the radius of gyration of this body about t...
- [Easy]A grinding wheel with moment of inertia 2 kg·m² experiences a constant net torque of 10 N·m about its axis. What angular acceleration does the wheel u...
- [Easy]A disc with moment of inertia 0.5 kg·m² rotates about its central axis at an angular velocity of 4 rad/s. What is the rotational kinetic energy stored...
- [Easy]A flywheel starts from rest and attains an angular velocity of 60 rad/s in 12 seconds under a constant angular acceleration. What is the angular accel...
- [Easy]A mechanic applies a force of 50 N perpendicular to a spanner of length 0.30 m to loosen a tight bolt at the far end. What magnitude of torque does th...
- [Medium]A solid sphere and a hollow sphere of the same mass and radius are released together from the top of an identical inclined plane. Which body reaches t...
- [Medium]An ice skater spinning with both arms outstretched suddenly pulls her arms close to her body, reducing her moment of inertia to one-third of its initi...
- [Medium]A thin uniform rod of mass M and length L rotates about an axis passing through one of its ends and perpendicular to its length. What is the moment of...
- [Easy]Two particles of masses 2 kg and 3 kg are placed at positions 0 m and 5 m along a straight line on a frictionless table. Where does the centre of mass...
- [Easy]A wheel starts from rest with constant angular acceleration 4 rad/s². Angular velocity after 5 s?...
- [Easy]Which pair correctly matches rotational and linear quantities?...
- [Medium]With the same data (α = 4 rad/s²), angular displacement in first 5 s?...
- [Easy]Moment of inertia of a uniform thin rod (mass M, length L) about axis through center perpendicular to length?...
- [Hard]I_cm of a disc is (1/2)MR². Moment of inertia about tangent in plane of disc?...
- [Easy]For pure rolling, which relation holds between linear velocity v and angular velocity ω (radius R)?...
- [Easy]A torque of 12 N·m acts on a wheel with I = 3 kg·m² from rest. Angular acceleration?...
- [Medium]A flywheel (I = 5 kg·m²) rotates at 8 rad/s. Rotational kinetic energy?...
- [Medium]A skater decreases moment of inertia from 4 to 1 kg·m². Initial ω = 3 rad/s. Final ω?...
- [Easy]Constant torque τ turns wheel through angle θ. Work done equals?...
- [Medium]A solid sphere (I = 2/5 MR²) rolls without slipπng at speed v. Total kinetic energy?...
- [Easy]Direction of angular momentum of a particle in uniform circular motion?...
- [Hard]A sπnning top precesses due to torque from?...
- [Easy]Dimensions of moment of inertia are?...
- [Medium]Rotational power delivered by torque τ at angular speed ω equals?...