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.

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

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 small box of mass m is placed on the outer surface of a smooth fixed sphere of radius R at a point where the radius makes a angle Pse with the vertical. The box is released from this position. Find the distance travelled by the box before it leaves contact with the sphere.

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 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 of mass m is released from the top of a smooth hemisphere of radius R with the horizontal speed mu . Calculate the angle with verticle where it loses contact with the hemisphere.

A particle of mass m is kept on the top of a smooth sphere of radius LR. It is given a sharp impulse whichimparts it a horizontal speed v. a. find thenormal 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 teh angle made by the radius through the particle with the vertical when it leaves the sphere.