There is inclined surface of inclination `theta=30^(@)`. A smooth groove is cut into it forming angle `alpha` with AB. A steel ball is free to slide along the groove. If the ball is released from the point O at top end of the groove, the speed when it comes to A is `[g=10 m//s^(2)`]

There is an inclined surface of inclination theta . A smooth groove is cut into it forming an angle alpha with AB as shown in figure. A steel ball is free to slide a long the groove. If the ball is released from the point O. Find the speed when it comes to A.

Figure shown a fixed surface inclined at an angle theta to the horizontal. A smooth groove is cut on the incline along QR forming an angle phi with PR. A small block is released at point Q and it slides down to R in time t. Find t.

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 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 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)) .

Shown in the figure is a block at rest haivng an inclined smooth groove in a vertical plane. The horizontal surface is smooth. A ball of the mass as that of the block at rest is released from the top end. The time when the ball will leave groove is sqrt((nL)/(2sqrt3g)) . Find n.

Shown in the figure is a block at rest haivng an inclined smooth groove in a vertical plane. The horizontal surface is smooth. A ball of the mass as that of the block at rest is released from the top end. The time when the ball will leave groove is sqrt((nL)/(2sqrt3g)) . Find n.

A uniform solid cone of mass m, base radius ‘R’ and height 2R, has a smooth groove along its slant height as shown in figure. The cone is rotating with angular speed omega , about the axis of symmetry. If a particle of mass ‘m’ is released from apex of cone, to slide along the groove, then angular speed of cone when particle reaches to the base of cone is

A uniform solid cone of mass m, base radius ‘R’ and height 2R, has a smooth groove along its slant height as shown in figure. The cone is rotating with angular speed omega , about the axis of symmetry. If a particle of mass ‘m’ is released from apex of cone, to slide along the groove, then angular speed of cone when particle reaches to the base of cone is

An object of mass m=1 kg is sliding from top to bottom in the frictionless inclined plane of inclination angle theta = 30^(@) and the length of inclined plane is 10m as shown in the figure. Calculate the work done by gravitational force and normal force on the object Assume acceleration due to gravity, g=10ms^(-2)