Torque & Angular Acceleration

Relation between Torque and Angular Acceleration || Ladder Problem

A wire is wrapped N times over a solid sphere of mass m which is place on a smooth horizontal surface. A horizontal magnetic field of induction vec B is present. Find the (a) torque (b) angular acceleration experienced by the sphere. Assume that the mass of the wire is negligible compared to the mass of the sphere.

The moment of inertia of a body is 2.5 kg m^(2) . Calculate the torque required to produce an angular acceleration of 18 rad s^(-2) in the body.

The torque needed to produce an angular acceleration of 18rad/ "sec"^2 in a body of moment of inertia 2.5kg- m^2 would be -

Two identical masses are connected to a horizontal thin massless rod as shown in the figure. When their distance from the pivot is x , a torque produces an angular acceleration alpha_(1) . If the masses are now repositioned so that they are at distance 2x each from the pivot, the same torque will produce an angular acceleration alpha_(2) such that ,

If a wheel has mass 70 kg and radius of gyration 1 m, then the torque required an angular 1 m, then the torque required an angular acceleration of "2 rev"//s^(2) will be

When there is no external torque acting on a rotating body, which of the following quantities can change ? (i) Angular acceleration (ii) Angular momentum (iii) Angular speed.

Compute the angular acceleration of a wheel having moment of inertia 20kgm^(2) , when a torque of 10Nm is applied on the wheel.

A torque of magnitude 2000 Nm acting on a body produces an angular acceleration of 20" rad/s"^(2) , The moment of inertia of the body is