Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A thin rod of length L and mass M is bent at its mid-point into two halves, so that the angle between them is 90^ . What is the...
- Moment of inertia of a thin rod of mass M and length L about an axis passing through its centre is ML^2 12 . Its moment of...
- Two wheels A and B are mounted on the same axle. Moment of inertia of A is 6 kg ,m^2 and it is rotating at 600 rpm when B is at...
- What is the torque of the force F=(2 i-3 j+4 k) N acting at the point r=(3 i+2 j+3 k) m about the origin?
- A thin rod of mass m and length 2l is made to rotate about an axis passing through its centre and perpendicular to it. If its...
- If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to
- A ballet dancer spins with 2.8 rps with her arms out stretched. When the moment of inertia about the same axis becomes 0.7I, the...
- A particle is projected with a speed v at 45^ with the horizontal. The magnitude of angular momentum of the projectile about the...
- The angular momentum of a rotating body changes from A_0 to 4A_0 in 4 min. The torque acting on the body is
- What torque will increase angular velocity of a solid disc of mass 16 kg and diameter 1 m from zero to 2 rps in 8 s ?
- A particle performs uniform circular motion with an angular momentum L. If the frequency of a particle's motion is doubled and...
- An ice skater spins at 3 rad ,s^ -1 with her arms extended. If her moment of inertia with arms folded is 75% of that with arms...
- A wheel having moment of inertia 2 kg ,m^2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque...
- A ring of diameter 0.4 m and of mass 10 kg is rotating about its axis at the rate of 1200 rpm. The angular momentum of the ring is
- A solid sphere is rotating about a diameter at an angular velocity . If it cools, so that its radius reduces to 1/n of its...
- A 3 kg particle moves with constant speed of 2 m ,s^ -1 in the XY-plane in the y-direction along the line x=4 m. The angular...
- A disc of mass 2 kg and radius 0.2 m is rotating with angular velocity 30 rad ,s^ -1 . What is angular velocity, if a mass of...
- In a circular motion, the angle between a particle's linear momentum and its angular momentum is
- A disc of moment of inertia I_1 is rotating with angular velocity _1 about an axis perpendicular to its plane and passing through...
- Match the following columns and mark the correct option from the codes given below. Column I (Translational motion) | Column II...
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