Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- When a ceiling fan is switched off, its angular velocity falls to ( 1 3 )^ rd while it makes 24 rotations. How many more...
- There is head-on elastic collision between the two particles moving in the same direction with speeds 5 m/s and 3 m/s...
- A force of 3 i +2 j - k N acts on a particle with position vector i + j - k m. The magnitude of torque of given force is
- Two particles of masses 2 g and 4 g are situated at the opposite ends, A and B of a wooden bar respectively. Let l(AB) = 9 cm....
- The radius of gyration of a solid sphere of radius 'R' and mass 'M' about its diameter is K_d and that about a tangent of a solid...
- A thin uniform rod AB of mass 'm' and length 'l' is hinged at one end A to the ground level. Initially the rod stands vertically...
- A solid sphere rolling without friction on a horizontal surface with a constant speed of 2 m/s, rolls up on an inclined ramp...
- A disc of mass 'm' and radius 'r' rolls down an inclined plane of height 'h'. When it reaches the bottom of the plane, its...
- A solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. The ratio of moment of inertia of the sphere about its...
- A solid sphere rolls down from the top of an inclined plane. On reaching the bottom of the plane, its velocity is 'V_1'When the...
- Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is 'I'. If the same rod...
- The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is I. It is rotating with...
- Using Bohr's quantization condition, the rotational kinetic energy in the third orbit for a diatomic molecule is (h=Planck's...
- Two circular loops P and Q of radii 'r' and 'nr' are made respectively from a uniform wire. Moment of inertia of loop Q about its...
- A disc of mass 25 kg and radius 0.2 m is rotating at 240 r.p.m. A retarding torque brings it to rest in 20 second. If the torque...
- A solid sphere and thin walled hollow sphere have same mass and same material. Which of them have greater moment of inertia about...
- A bob of mass 'm' is tied by a massless string whose other end is wound on a flywheel (disc) of radius 'R' and mass 'm'. When...
- An object of mass 'm' moving with velocity 'u' collides with another stationary object of mass 'M' and stops just after the...
- The moment of inertia of a solid sphere of mass 'm' and radius 'R' about its diametric axis is 'I'. Its moment of inertia about a...
- Two discs of moment of inertia ‘I_1’ and ‘I_2’ and angular speeds ‘ _1’ and ‘ _2’ are rotating along the collinear axes passing...
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