If a solid sphere of mass 1 kg and radius 0.1 m rolls without slipping at a uniform velocity of 1 m/s along a straight line on a horizontal floor, the kinetic energy is
A disc of moment of inertia (9.8/π²) kg m² is rotating at 600 rpm. If the frequency of rotation changes from 600 rpm to 300 rpm then what is the work done?
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(a) […]
A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of […]
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is Iₒ. Its moment of inertia about an […]
The instantaneous angular position of a point on a rotating wheel is given by the equation θ(t) = 2t³ – 6t². The torque on the wheel becomes zero at
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(a) t = […]
A gramophone record is revolving with an angular velocity ?. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is µ. The coin will resolve […]
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:
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