Force and torque

two cylindrical hollow drums of radii R and 2 R, and of a common height h , are rotating with angular velocities omega (anti- clockwise ) and omega (clockwise ) , respectively , their axes , fixed are parallel and in a horizontal plane separated by by 3R + delta , they are now brought in contact (delta to0) (A) show frictional forces just after contact . (B) identify forces and torque external to the system just after contact , (c) what would be the ratio of final of final angular velocities when friction ceases ?

Two cylindrical hollow drums of radii R and 2R , and of a commom height h, are rotating with angular velocities omega (anti-clockwise) and omega (clockwise), respectively. Their axes, fixed are parallel and in a horizontal plane separated by (3R + delta) . They are now brought in contact (delta rarr 0) . (a) Show the frictional forces just after contact. (b) Identify forces and torque external to the system just after contact. (c ) What would be the ratio of final angular velocities when friction ceases ?

Prove the result that the velocity v of translation of a rolling body (like a ring, disc, cylinder or sphere) at the bottom of an inclined plane of a height h is given by v^(2) = (2gh)/((1 + k^(2)//R^(2)) using dynamical consideration (i.e. by consideration of forces and torque). Note k is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane.

If the perpendicular distance between the pivot and the point of application of the force is more, then torque is ......(more/less).

(A) : If body or a system has neither translational nor rotational motion then it is in complete mechanical equilibrium. (R ) : A body or system is said to be in mechanical equilibrium when net force and net torque acting on the body are zero.

A flat , rectangular coil, carrying current, is placed beside a long straight conductor carrying current. The two are coplanar. The net force and net torque experienced by the coil are F and tau .

A : For a body to be in rotational equilibrium the net torque acting on the body about any point is zero. R : For net torque to be zero, net force should also be zero.

A dipole of moment vecp is placed in a uniform electric field vecE . The force on the dipole is vecF and the torque is vec(tau)

Classify the following as scalars and vectors : Time Distance Displacement Force Work Torque Velocity Speed Acceleration Mass