Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- **Statement 1:** Torque is equal to the rate of change of angular momentum. **Statement 2:** Angular momentum depends on the...
- A reel of thread unrolls itself, falling down under gravity. Neglecting the mass of the thread, the acceleration of the reel is
- A disc starting from rest acquires in 10 ;s an angular velocity of 240 revolutions/minute. The angular acceleration (assuming...
- A wheel of moment of inertia 5 10^ -3 ,kg - m^2 is making 20 ;rev/sec. The torque required to stop it in 10 ;sec is
- A thin uniform rod of mass m and length l is hinged at the lower end to a level floor and stands vertically. It is now allowed to...
- A sphere of mass 50 ;g and diameter 20 ;cm rolls without slipping with a velocity of 5 ;cm/sec. Its total kinetic energy is
- From an inclined plane, a sphere, a disc, a ring and a spherical shell are rolled without slipping. The order of their reaching...
- A binary star consists of two stars A (mass 2.2 ,M_s) and B (mass 11 ,M_s), where M_s is the mass of the sun. They are separated...
- A uniform circular disc of mass 50 ;kg and radius 0.4 ;m is rotating with an angular velocity of 10 ;rad/s about its own axis,...
- Calculate the torque (in Nm) developed by an engine whose output is 220 horse power at an angular velocity of 2100 ;rev/min....
- A solid sphere rolls on a smooth horizontal surface at 5 ;m/s and then rolls up a smooth inclined plane of inclination 30° with...
- If 2 10^5 ;J of work is done in producing rotational kinetic energy of a wheel having moment of inertia 10 ;kg ,m^2, then the...
- A force F=-12 -6 +2 k is acting at a point r=6 +3 + k. The value of for which angular momentum about the origin is conserved is...
- A solid sphere and a thin spherical shell of the same radius rotate about their diameter with the same angular momentum but with...
- A particle of mass 3 ;kg at a point A is rotating about some axis in a plane perpendicular to the axis, having a magnitude of...
- The co-ordinates of 2g, 3g and 5g particles are ( 12,- 12,1 ), (-2,2,1) and (5,5,5) respectively. The co-ordinates of their...
- Two blocks of masses 20 ;kg and 4 ;kg are connected by a spring of negligible mass and placed on a frictionless horizontal...
- The distance of the centre of mass of a solid uniform cone from its vertex is z_0. If the radius of its base is R and its height...
- The diameter of a flywheel is increased by 2 %, keeping the mass the same. The increase in its moment of inertia about the...
- Torque of equal magnitude is applied to a solid cylinder and a solid sphere, both having the same mass and radius. Both of them...
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