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 thee circle without leaving the track ?

A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination:- Will it take longer to roll down one plane than the other?

A plane mirror 1 m high hangs on a wall.A man stnds at a distance 2 m away from the mirro.What is the height of the portion of the oposite wall in the room that can be seen by the man in the mirro,without changing the position of his head?The wall is 4m from the mirror.

A contractor plants to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30^@ to the ground, whereas for elder children, she wants to have a steep slide at a height of 3 m, and inclined at an angle of 60^@ to the ground. What should be the length of the slide in each case ?

A particle of mass 150 g is attached to one end of a massless inextensible string It is made to describe a vertical circle of radius 1 m When the string is making an angle of 48.2^(@) with the vertical , its instantaneous speed is 2 m//s What is the tension in the string in this position ? Would this particle be able to complte its circular path?(Take g=10 m s^(-2) ).

A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination:- Will it reach the bottom with the same speed in each case?

An inclined plane makes angle of 30^@ with horizontal.A solid sphere rolls down this inclined plane from rest without slipping .the acceleration of the sphere is :

A motorcyclist loops the loop of radius 8 m.From what minimum height must he start in order to roll down and go around the loop?

A small sphere rolls down without slipping from the top of a track in a vertical plane. The track has an elevated section and a horizontal part is 1.0 m above the ground level and the top of the track is 2.4 m above the ground. Find the distance on the ground with respect to the point B (which is vertically ) below the end of the track as shown in figure. Where the sphere lands. During its flight as a projectile does the sphere continue to rotate about its centre of mass? Explain.

A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev.//min in a horizontal plane. What is the tension in the string ? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?

A curved surface is shown in the figure. The portion BCD is free of friciton. There are three spherical balls of identical radii and masses. Balls are released from rest one by one from A which is at a slightly greater height than C. With the surface AB, ball 1 has large enough firction to cause rolling down without slipping, ball 2 has a small friction and ball 3 has a negligible frction. For balls which do nt each D, which of the balls an reach back A?