Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- The linear mass density of a thin rod AB of length L varies from A to B as (x)= _0 (1+ x L ), where x is the distance from A. If...
- Particle A of mass m_1 moving with velocity ( 3 i + j ) ms ^ -1 collides with another particle B of mass m_2 which is at rest...
- The centre of mass of a solid hemisphere of radius 8 cm is X cm from the centre of the flat surface. Then value of x is ________ .
- The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is 2400 g cm^2. The...
- Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v_1 while...
- Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass....
- Two objects of mass 10 kg and 20 kg respectively are connected to the two ends of a rigid rod of length 10 m with negligible...
- A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio 2 : 2 : 1. If the fragments...
- The position of an object having mass 0.1 kg as a function of time t is given as r = (10t^2 i + 5t^3 j) m. At t = 1 s, which of...
- A solid sphere of mass M and radius R is divided into two unequal parts. The smaller part having mass M/8 is converted into a...
- A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s it rotates through an...
- Two identical bodies A and B of equal masses have initial velocities v⃗₁=4î m/s and v⃗₂=4ĵ m/s respectively. The body A has...
- A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through the centre of the sphere) with an...
- A solid cylinder having radius R and length L is slipping on a rough horizontal plane. At time t = 0 the cylinder has a...
- From a circular ring of mass 'M' and radius 'R' an arc corresponding to a 90° sector is removed. The moment of inertia of the...
- A circular disc reaches from top to bottom of an inclined plane of length ℓ. When it slips down the plane, if takes t s. When it...
- A string is wrapped around the rim of a wheel of moment of inertia 0.40 kgm² and radius 10 cm. The wheel is free to rotate about...
- A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are...
- A body of mass 1000 kg is moving horizontally with a velocity 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s)...
- Four particles each of mass 1 kg are placed at four corners of a square of side 2 m. Moment of inertia of system about an axis...
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