Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle θ. The frictional force :
- The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and...
- List – I: (a) MI of the rod (length L, Mass M, about an axis to rod passing through the midpoint) (b) MI of the rod (length L,...
- Moment of inertia of a square plate of side l about the axis passing through the centre and perpendicular to the plane of square...
- Two discs have moments of inertia I_1 and I_2 about their respective axes perpendicular to the plane and passing through the...
- A boy of mass M moving at speed V_0 collides elastically with a mass 'm' at rest. After the collision, the two masses move at...
- Angular momentum of a single particle moving with constant speed along circular path :
- A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm, about an axis normal to its circular...
- Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Moment of...
- A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to move in...
- A particle of mass 'm' is moving in time 't' on a trajectory given by r =10 t^2 i +5 (t-5) j Where and are dimensional constants....
- The initial mass of a rocket is 1000 kg. Calculate at what rate the fuel should be burnt so that the rocket is given an...
- Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Body 'P'...
- A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at...
- A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel...
- Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms^ -1 collide and rebound with the same speed. If...
- A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms^ -1 gets embedded in it, then...
- A solid cylinder and a solid sphere, having same mass M and radius R, roll down the same inclined plane from top without...
- Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius '2R' are as follows : I_ 1 = M.I. of solid sphere about...
- If force F = 3 i + 4 j - 2 k acts on a particle having position vector 2 i + j + 2 k then, the torque about the origin will be
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