A block is gently placed at the top of an inclined plane 640 cm long. Find the time taken by the block to slide down to the bottom of the plane, which makes an angle of `30^@` with the horizontal. Coefficient of friction =0.2 and `g=1000 cm s^(-2)`.

A cubical block rests on an inclined plane with four edges horizontal.If mu = 1/sqrt3 determine the angle when the block just slides down the plane.

A block slides down an inclined plane of slope angle 0 with constant velocity .It is then projected up the same plane with an initial velocity v_0 .How far up the incline will it move?

A wire of mass 9.8*10^(-3) kg per metre passes over a friction less pulley fixed on the top of an inclined friction less plane which makes an angle of 30^@ with the horizontal. Masses M_(1) and M_(2) are tied at the two end of the wire. The mass M_(1) rests on the plane and the mass M_(2) hangs vertically downward. The whole system is in equilibrium. Now a transverse wave propagates along the wire with a velocity of 100ms^(-1) . Find the values of masses M_(1) and M_(2) . Take g= 9.8ms^(-2) .

A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30^@ with the direction of a uniform horizontal magnetic field of magnitude 0.80 T. What is the magnitude of torque experienced by the coil?

A plane surface having area of 0.5m^2 is placed inside a uniform electric field of strength 5xx10^3NC^-1 . Calculate its flux makes an angle of 30^@ with the direction of electric field.

An inclined plane making an angle of 30^@ with the horizontal is placed in a uniform horizontal electric of 100 V m^-1 as shown in the figure A particle of mass 1 kg and charge 0.01 C is allowed to slide down from rest from a height of 1 m. If the coefficient of frictio nis 0.2, find the time it will take the particle to reach the bottom.

When a body slides down from rest along a smooth inclined plane making anangle of 45^@ with the horizontal, it takes time T. when the same body slides down from rest along a rough inclined plane making the same angle and through the same distance, it is seen to take time pT, where p is some number greater than 1. Calculate the co-efficient of friction between the body and the rough plane.

A large plane sheet of charge having surface charge density 5.0 xx 10^-16 C m^-2 lies in the XY-plane . Find the electric flux through a circular area of radius 0.1 m , if the normal to the circular area makes an angle of 60^@ with the Z-axis. Given that epsilon_0 = 8.85 xx 10^-12 C^2N^-m^-2

The stone of mass 100 g is suspended from the end of a weightless string of length 100 cm and is allowed to swing in a vertical plane.The speed of the mass is 2 m s^-1 when the string makes an angle of 60^@ with the vertical .Calculate the tension in the string at theta = 60^@ .Also,caculate the speed of the stone when it is in the lowest poition. (g=9.8 m s^(-2) ) .