Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- Three identical spheres, each of mass M, are placed at the corners of an equilateral triangle of side 2 m. Taking one of the...
- Two particles of masses m_1 and m_2 in projectile motion have velocities v_1 and v_2 respectively at time t=0. They collide at...
- A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is...
- A sphere is rolled on a rough horizontal surface. It gradually slows down and stops. The force of friction tries to
- The radius of gyration of a body depends upon
- A cylinder of mass M, length L and radius R has moment of inertia about an axis passing through its centre, perpendicular to its...
- A circular disc of mass 0.41 kg and radius 10 m rolls without slipping with a velocity of 2 ms⁻¹. The total kinetic energy of the...
- A frog sits on the end of a long board of length L=5 m. The board rests on a frictionless horizontal table. The frog wants to...
- A child of mass 4 kg jumps from cart B to cart A and then immediately back to cart B. The mass of each cart is 20 kg and they are...
- A small sphere of mass m=1 kg is moving with a velocity (4 - ) m/s. It hits a fixed smooth wall and rebounds with velocity ( +3 )...
- A man of mass M=58 kg jumps from an aeroplane. He sees the hard ground below him and a lake at a distance d=1 m from the point...
- A bullet is fired on a fixed target. It penetrates inside the target through distance d=3.75 cm and then stops; the mass of the...
- A ball of mass m makes a head-on elastic collision with a ball of mass nm which is initially at rest. The fractional transfer of...
- Four solid spheres, each of diameter 5 cm and mass 0.5 kg, are placed with their centres at the corners of a square of side 4 cm....
- A light inextensible thread is wound round a solid cylindrical reel of mass m=1.5 kg and radius 10 cm. The end of the string is...
- A stone of mass m, tied to the end of a string, is whirled around in a horizontal circle (neglect the force due to gravity). The...
- A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the...
- A point mass is tied to one end of a cord whose other end passes through a vertical hollow tube, caught in one hand. The point...
- A wheel A is connected to a second wheel B by means of an inextensible string passing over a pulley C, which rotates about a...
- A uniform rod of length 1 m and mass 2 kg is suspended horizontally by two vertical strings, one at each end. Calculate the...
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