An inclined plane makes an angle `30^(@)` with the horizontal. A groove (OA) of length 5m cut in the plane makes an angle `30^(@)` with OX. A short smooth cylinder is free to slide down under the influence of gravity. The time taken by the cylinder to reach from A to O is `(g=10ms^(-2))`.

An inclined plane makes an angle 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to

A smooth inclined plane is inclined at an angle theta with the horizontal. A body starts from rest and slides down the inclined surface. The time taken by the body to reach the bottom is

A spinning cylinder of mass m and radius R is lowered on a rough inclined plane of angle 30^(@) with the horizontal and mu=1sqrt(3) . The cylinder is released at a height of 3R from horizontal. Find the total time taken by the cylinder to reach the bottom of the incline.

A particle is thrown at time t=0 with a velocity of 10 m/s at an angle of 60^(@) with the horizontal from a point on an incline plane, making an angle of 30^(@) with the horizontal. The time when the velocity of the projectile becomes parallel to the incline is :

A cylinder is released from the top of an incline making angle theta=45^(@) with the horizontal. The length of the incline is 2.82m and mass of cylinder is 1kg . The coefficient of friciton is 0.2 between the cylinder and the incline. When the cylinder reaches the bottom of the incline, its total kinetic energy is (g=10m//s^(2))

An inclined plane makes an angle theta_0 = 30^@ with the horizontal. A particle is projected from this plane with a speed of 5 ms^-1 at an angle of elevation beta = 30^@ with the horizontal as shown in (Fig. 5.53). (a) Find the range of the particle on the plane when it strikes the plane. (b) Find the range of the particle for beta = 120^@ . .

A cylinder of mass 5kg and radius 30 cm is rolling down an inclined place at an angle of 45^(@) with the horizontal. Calculate (i) force of friction, (ii) acceleration with which the cylinder rolls down and (iii) the minimum value of static friction so that cylinder does not slip while rolling down the plane.