Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A body of mass 5 kg moving with a uniform speed 3√2 ms⁻¹ in X-Y plane along the line y = x + 4. The angular momentum of the...
- A cylinder is rolling down on an inclined plane of inclination 60°. It's acceleration during rolling down will be x 3 m/s², where...
- Two discs of moment of inertia I₁ = 4 kg m² and I₂ = 2 kg m², about their central axes and normal to their planes, rotating with...
- Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light rod so that the separation between the...
- A body of mass 'm' is projected with a speed 'u' making an angle of 45° with the ground. The angular momentum of the body about...
- A solid circular disc of mass 50 kg rolls along a horizontal floor so that its center of mass has speed of 0.4 m/s. The absolute...
- A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end. It is free to rotate in vertical plane. The...
- The angular speed of truck wheel is increased from 900 rpm to 2460 rpm in 26 seconds. The number of revolutions by the truck...
- Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to...
- A thin circular ring of mass M and radius r is rotating about its axis with an angular speed . Two particles having mass m each...
- A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic energy....
- Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane. The radii of the...
- A circular disc reaches from top to bottom of an inclined plane of length 'L'. When it slips down the plane, it takes time 't_1'....
- A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass 'm' travelling along the surface...
- A bullet of '4g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms^ -1 , the impulse...
- Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping....
- The position of the centre of mass of a uniform semi-circular wire of radius 'R' placed in x-y plane with its centre at the...
- The centre of a wheel rolling on a plane surface moves with a speed v. A particle on the rim of the wheel at the same level as...
- A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment of inertia about an axis...
- Moment of inertia (M.I.) of four bodies, having same mass and radius, are reported as ; I_1 = M.I. of thin circular ring about...
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