11th Class Physics Systems Of Particles & Rotational Motion / कणों के निकाय तथा घूर्णी गति

  • question_answer 11)
    Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time ? 

    Answer:

    Let M and R be mass and radius of the hollow cylinder and the solid sphere. Then M.I. of hollow cylinder about its axis of symmetry,   M.I. of solid sphere about an axis through its centre,   Let  and  be angular accelerations produced in the rotational motion of the cylinder and the sphere on applying a torque t in each case. Then   and        As  and  so the solid sphere will acquire a greater angular speed after a given time.  


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