QuizardA uniform semi-circular disc of radius R has a mass M. The distance of the centre of mass from O of the disc on its radius OC dividing the disc symmetrically is
A particle A of mass M is falling freely, from rest, under gravity of earth. At a height h, above ground, it somehow on its own breaks up into two fragments B and C . The change in the path of C.M of A and C.M of B and C is
A charged particle having charge q; mass m is under the action of an electric field . At some instant of time, its position coordinates are (a, b). What is the magnitude of torque of force on particle due to electric field about origin of co-ordinates at this moment of time?
A particle is moving in x–y plane. The instantaneous position coordinates of particle are (a, b). There are two forces acting on the particle. The torque of forces on particle about origin of co-ordinates is
A force newton acts at a point having position co-ordinate meter. Another force acts at a point having position vector meter. The net torque of the two forces about origin of co-ordinates is
A uniform wire of length 2L, mass per unit length is bent into a circular loop of 2 turns. The M.I of the loop about any tangent in its own plane is
A uniform sphere of mass M; radius R has M.I, I about any diameter as axis. The sphere is recast into a cube. The M.I of cube about an axis through its mid-point parallel to any side of cube is
The radius of gyration of a solid shape of mass M, radius R about some axis is . By what distance the axis of rotation be shifted so that radius of gyration becomes 2R?
A uniform cylinder rolls down an rough inclined plane without slipping. Which of the following statements is incorrect?
A hollow sphere of mass M = 6m; radius R is filled with water of mass m. It is rolling without slipping on a rough horizontal surface. The linear velocity of the system is v. The energy of the arrangement is
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