A particle slides on the surface of a fixed smooth sphere starting from the topmost pont. Find the angle rotated by the radius through the particle, when it leaves contact with the sphere.

A particle is released from the top of a smooth hemisphere.find the angle rotated by the radius through the particle, when it loses contract with the hemisphere. Also sketch variation of normal contact force with cos theta , where theta is an angle rotated by the radius through the particle.

A particle of mass m is kept on a fixed , smooth sphere of radius R at a position, where the rdius thrugh the particle makes an angle of 30^0 with the vertical. The particle is releases from this positon. a. What is the force exerted by the sphere on teh particle just after the release? b. Find the distance travelled by the particle before it leaves contact with the sphere.

A particle of mass m is kept on a fixed, smooth sphere of radius R at a position, where the radius through the particle makes an angle of 30 ∘ with the vertical. The particle is released from this position. (a) What is the force exerted by the sphere on the particle just after the release? (b) Find the distance traveled by the particle before it leaves contact with the sphere.

A particle of mass m is kept on a fixed, smooth sphere of radius R at a position, where the radius through the particle makes an angle of 30 ∘ with the vertical. The particle is released from this position. (a) What is the force exerted by the sphere on the particle just after the release? (b) Find the distance traveled by the particle before it leaves contact with the sphere.

Particle slides down the surface of a smooth fixed sphere of radius r starting from rest at the highest point. Find where it will leave the sphere. Show that it strike the horizontal plane through the lowest point of the sphere at a distance equal to 5[sqrt(5)+4sqrt(2)](r//27) from the vertical diameter.

A particle of mass m is released on a fixed. Smooth sphere of radius R at a position, where the radius through the particle makes an angle of alpha with the verticle. What is the angle made by radius through the particle when the particle loses contact with sphere? (cos alpha=3//4)

A particle rests on the top of a smooth hemisphere of radius r . It is imparted a horizontal velocity of sqrt(etagr) . Find the angle made by the radius vector joining the particle with the vertical at the instant the particle losses contact with the sphere.

A particle rests on the top of a smooth hemisphere of radius r . It is imparted a horizontal velocity of sqrt(etagr) . Find the angle made by the radius vector joining the particle with the vertical at the instant the particle losses contact with the sphere.

A particle of mass m is kept on the top of a smooth sphere of radius R. It is given a sharp impulse which imparts it a horizontal speed v. a. find the normal force between the sphere and the particle just after the impulse. B. What should be the minimum value of v for which the particle does not slip on the sphere? c. Assuming the velocity v to be half the minimum calculated in part, d. find the angle made by the radius through the particle with the vertical when it leaves the sphere.