A sphere of mass 0.1 kg is attached to an inextensible string of length 1.3 m, whose upper ens id fixed to the ceiling. The sphere is made to describe a horizontal circle of radius 0.5 m. Calculate the time period of one revolution..

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) ).

The radius of a sphere is measured to be (5.3+-0.1) cm . Calculate the percentage error in measurement of its volume.

A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev//s at the bottom of the circle. The cross-sectional area of the wire is 0.065 cm^2 . Calculate the elongation of the wire when the mass is at the lowest point of its path.

A mass of 2 kg is attached to the spring of spring constant 50 N m^-1 . The lock is pulled to a distance of 5 cm from its equilibrium position at x = 0 on a horizontal frictionless surface from rest at t = 0. Write the expression for tis displacement at anytime t.

A bullet of mass 0.012 kg and horizontal speed 70 m s^-1 strikes a block of wood of mass 0.4 kg and instantly comes to rest with respect to the block. The block is suspended from the ceiling by means of thin wires. Calculate the height to which the block rises. Also, estimate the amount of heat produced in the block.

A massless string of length 1.2 m, has a breaking strength of 2 kg wt. A stone of mass 0.4 kg, tied to one end of the string, is made to move in a vertical circle, by holding the other end in the hand. Can the particle describe the vertical circle? (Take g = 10 m s^-2 )

A ball of 0.03 m diameter and 0.3 kg in weight is attached to the end of a thin string of 0.46 m length. If it is rotate uniformly in a horizontal circle at the rate of 15 revolutions per second, what is the tension in the string? Take pi^2 = 9.87 ).

A body of mass 0.8 kg is whirled uniformlyt at the end of a string 2 m long.If teh string makes 3 revolutins in 1.5 sec,calculate the tension in the string.