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### Thin uniform rod of length L, cross-sectional area A and density ρ is rotated

Thin uniform rod of length L, cross-sectional area A and density ρ is rotated about an axis passing through centre and perpendicular to its length with angular velocity ?. What will be its rotational energy? […]

### Two point objects of masses 1.5 g and 2.5 g respectively are at a distance of 16 cm

Two point objects of masses 1.5 g and 2.5 g respectively are at a distance of 16 cm apart, the centre of gravity is at a distance x from the object of mass 1.5 gm […]

### Three identical spheres, each of mass 3 kg are placed touching each other

Three identical spheres, each of mass 3 kg are placed touching each other with their centres lying on a straight line. The centres of the spheres are marked as P, Q and R respectively. The […]

### A thin circular ring of mass M and radius R rotates about an axis through its centre

A thin circular ring of mass M and radius R rotates about an axis through its centre and perpendicular to its plane, with a constant angular velocity ?. Four small spheres each of mass m […]

### A thin rod of length L and mass M is bent at its midpoint into two halves

A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90°. The moment of inertia of the bent rod about an […]

### Consider a uniform square plate of side ɑ and mass m. The moment of inertia

Consider a uniform square plate of side ɑ and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

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### A round uniform body of radius R, mass M and moment of inertia I rolls down

A round uniform body of radius R, mass M and moment of inertia I rolls down (without slipping) an inclined plane making an angle θ with the horizontal. Then its acceleration is

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### A circular disc of radius R is removed from a bigger circular disc of radius 2R

A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs coincide. The centre of mass of the new disc is α/R from […]

### A wheel has angular acceleration of 3.0 rad/sec² and an initial angular speed

A wheel has angular acceleration of 3.0 rad/sec² and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has rotated through an angle (in radian) of

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(a) 10 […]

### Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm

Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from […]

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