Calculate the tension in a string that whirls a 2 kg - toy in a horizontal circle of radius 2.5 m when it moves at 3m/s.

A mass m moves in a circle on a smooth horizontal plane with velocity v_0 at radius R_0 . The mass is attached to a string which passes through a smooth hole in the plane as shown.The tension in the string is increased gradually and finally m moves in a circle of radius R_0/2 .The final value of the kinetic energy is : .

Figure shows a mass m placed on a frictionless horizontal table and attached toa string passing through a mall hole in the surface. Initially, themas movesin a circle of radius r_0 with a speed v_0 and the ree end of the string is held by a person. The person pulls on the string slowly to decrease the radius of th circle of r. a. Find the tension in the string when the mass moves in the circle of radius r. b. Calculate the chasnge in the kinetic energy of the mass

If a stone tied at the one end of a string of length 0.5 m is whirled in a horizontal circle with a constant speed 6 ms^(-1) , then the acceleration of the stone is

In the given figure , a= 15m//s^2 represent the total acceleration of a particle moving in the clockwise direction in a circle of radius R=2.5m at a given instant of time . The speed of the particle is , .

Water in a bucket tied with rope whirled around in a vertical circle of radius 0.5 m. Calculate the minimum velocity at the lowest point so that the water does not spill from it in the course of motion. (g=10ms^(-1))

Calculate the tension in the string shown in figure. The pulley and the string are light and all surfaces are frictionless. Take g=10 m/ s^2 .