Consider a two particle system with particle having masses m₁ and m₂. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be […]
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass […]
The moment of inertia of a rod about an axis through its centre and perpendicular to it is 1/12 ML² (where M is the mass and L, the length of the rod). The rod is […]
Two bodies of mass 1 kg and 3 kg have positive vectors i + 2j + k and -3i -2j + k respectively. The centre of mass of this system has a position vector:
Four indentical thin rods each of mass M and length l, form a square frame. Momentum of inertia of this frame about an axis through the centre of the square and perpendicular to its plane […]
If F⃗ is the force acting on a particle having position vector r⃗ and ? ⃗ be the torque of this force about the origin, then:
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(a) r⃗ . ? ⃗ > […]
A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity ?. If two objects each of mass […]
A coin of mass m and radius r having moment of inertia I about the axis passes through its centre and perpendicular to its plane. It is beaten uniformly to form a disc of radius […]
The ratio of the radii or gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is:
Options
(a) √3 : √2 […]
A cockroach is moving with a velocity v in anticlockwise direction on the rim of a radius R of mass m. The moment of inertia of the disc about the axis is I and it […]
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