If a solid cylinder of area of cross-section A is moving with velocity V in medium of density p then power loss of cylinder is

Consider a solid cylinder of the density rho_(s) cross section area A and h ploating in a liquid of density rho_(l) as shown in figure (rho_(l) gt rho_(s)) . It is depressed sligtly and allowed to oscillation.

A solid cylinder of mass 20 kg rotates about its axis with angular velocity of 100 radian s^(-1) . The radius of the cylinder is 0.25m . The magnitude of the angular momentum of the cylinder about its axis of rotation is

A solid cylinder rolls up an inclined plane of inclination theta with an initial velocity v . How far does the cylinder go up the plane ?

The length of a current-carrying cylindrical conductor is l, its area of cross-section is A, the number density of free electrons in it is n, and the drift velocity of electrons in it is v_d . The number of electrons passing through a particular cross-section of the conductor per unit time is given by:

Velocity of the centre of a small cylinder is v . There is no slipping anywhere. The velocity of the centre of the larger cylinder is

A tank of height H and base area A is half filled with water and there is a small orifice at the bottom and there is a heavy solid cylinder having base area (A)/(3) and height of the cylinder is same as that of the tak. The water is flowing out of the orifice. Here cylinder is put into the tank to increase the speed of water flowing out. After long time, when the height of water inside the tank again becomes equal to (H)/(2) , the solid cylinder is taken out. then the velocity of liquid flowing out of the orifice (just after removing the cylinder) will be

A solid cylinder of mass M and radius R rolls down an inclined plane of height h. The angular velocity of the cylinder when it reaches the bottom of the plane will be :

For the arrangement shown, a cylinder of mass m with cross-sectional area A , initially in equilibrium poisition, is displaced slightly inside the liquid of density p . Prove that the motion is simple harmonic and also find its time-period.

A bullet of mass m moving with a velocity of u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown and is embedded in the cylinder after impact. Assuming that the cylinder rolls without slipping, find the angular velocity of the cylinder and the final velocity of the bullet.

A solid cylinder of denisty rho_(0) , cross-section area A and length l floats in a liquid rho(gtrho_(0) with its axis vertical, . If it is slightly displaced downward and released, the time period will be :