Figure shows a rough track a portion of which is in the form of a cylinder of radius R. With what minimum linear speed should as sphere of radius r be set rolling on the horizontal part so that it completely goes round the circle on the cylindrical part.

A small spherical marble of mass m and radius r is rolling without slipping on a rough track with speed v.The track further is in the shape of a vertical circle of radius R as shown in figure-5.144. With what minimum linear speed the marble is rolling so that it completely goes round the circle on the circular part of track.

A sphere of radius R is rolling on a rough horizontal surface. The magnitude of velocity of A with respect to ground will be

Figure shows a smooth track, a part of which is a circle of radius R. As block of mass m is pushed against a spring of spring constant k fixed at the left end and is then released. Find the initial compression of the spring so that the block presses the track with a force mg when it reaches the point P, where the radius of the track is horizontal.

A particle moving on the inside of a smooth sphere of radius r describing a horizontal circle at a distance r//2 below the centre of the sphere. What is its speed ?

What minimum horizontal speed should be given to the bob of a simple pendulum of length l so tht it describes a complete circle?

What minimum horizontal speed should be given to the bob of a simple pendulum of length l so tht it describes a complete circle?

What minimum horizontal speed should be given to the bob of a simple pendulum of length l so tht it describes a complete circle?

A ball rolls down an inclined plane from a height and then goes round a vertical circle of radius 1m. What should be the height of the inclined plane so that the ball is able to go round the circle without leaving the track?

Figure shows a an incline which ends into a circular track of radius R. What should be the minimum value of height (h), so that the small object shown after release, is able to complete the loop. Neglect friction.