A particle slides from rest from the top most point of a vertical circle of radius `r` along a smooth chord making an angle `theta` with the vertical. The time of descent is .

A particel slides from rest from the topmost point of a vertical circle of radirs r along a smooth chord making an angle theta with the vertical. The time of descent is .

A glass marble slides from rest from the topmost point of a vertical circle of radius r along a smooth chord. Does the time of descent depend upon the chord chosen ?

A conical pendulum of length L makes an angle theta with the vertical. The time period will be

A particle is projected so as to just move along a vertical circle of radius r. The ratio of the tension in the string when the particle is at the lowest and highest point on the circle is -

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 ball of mass m is suspended from a rope of length L. It describes a horizontal circle of radius r with speed v. the rope makes an angle theta with vertical given by sin theta = r//2 . Determine (a) the tension in the rope and (b) the speed of the ball. (c) time period of ball.

A stone tied to a string of length l is whirled in a horizontal circle at a constant angular speed omega in a circle of radius r. If the string makes an angle theta with vertical then the tension in the string is :

PQ is a smooth inclined plane whose angle theta can be varied in such a way that point Q remains fixed and P can move on a vertical line PR . A particle slides from rest from point P at different value of theta time for descent from P and Q is noted. The following statement (s) is // are correct about the time of descent :

A point mass m starts to slide from rest from the top of a smooth solid sphere of radius r. Calculate the angle at which the mass flies off the sphere. If there is friction between the mass and sphere, does the mass fly off at a greater or lesser angle ?

A small block is freely sliding down from top of a smooth inclined plane. The block reaches bottom of inclined plane then the block describes a vertical circle of radius 0.5 m along smooth track. The minimum vertical height of inclined plane should be