Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A man of mass M stands at one end of a plank of length L, which is at rest on a frictionless horizontal surface. The man walks to...
- Two bodies of masses 2 kg and 4 kg are moving with velocities 20 ms⁻¹ and 10 ms⁻¹ towards each other due to mutual gravitational...
- Four particles of masses 1 kg, 2 kg, 3 kg and 4 kg are placed at the corners A,B,C and D respectively of a square ABCD of edge 1...
- The centre of mass of a system cannot change its state of motion unless there is an external force acting on it. Yet, in an...
- A non-zero external force acts on a system of particles. The velocity and acceleration of the centre of mass are found to be v_0...
- Two homogeneous spheres A and B of masses m and 2m, having radii 2a and a respectively, are placed in touching contact. The...
- A non-uniform thin rod of length L is placed along the X-axis, such that one of its ends is at the origin. The linear mass...
- A bullet of mass 5 g, moving with a velocity 10 ms⁻¹, strikes a stationary body of mass 955 g and enters it (perfectly...
- Blocks A and B, each of mass m, are connected by a massless spring of natural length L and spring constant k. The blocks are...
- A body of mass M moving with velocity v ms⁻¹ suddenly breaks into two pieces. One part having mass M/4 remains stationary. The...
- A set of n identical cubical blocks lies at rest, parallel to each other, along a line on a smooth horizontal surface. The...
- A bomb at rest explodes in air into two equal fragments. If one of the fragments is moving vertically upwards with velocity v_0,...
- When two blocks A and B, coupled by a spring on a frictionless table, are stretched and then released, then
- An isolated particle of mass m is moving in a horizontal plane (x-y), along the x-axis, at a certain height above the ground. It...
- Two blocks of masses m_1 and m_2 are connected by a massless spring and placed on a smooth surface. The spring is initially...
- If momentum of a body remains constant, then the mass-speed graph of the body is
- A ball of mass m moving with velocity v collides with another ball of mass 2m and sticks to it. The velocity of the final...
- In an elastic head-on collision between two particles
- A small block of mass M moves with velocity 5 ms⁻¹ towards another block of the same mass M, placed at rest at a distance of 2 m...
- Two perfectly elastic objects A and B of identical mass are moving with velocities 15 ms⁻¹ and 10 ms⁻¹ respectively, and collide...
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