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

A small block of mass m on a horizontal smooth table is attached to a light string passing through a hole as shown in the figure. Initially, the block moves in a circle of radius r with speed v and the string is held by a person. The person pulls the strin slowly to decrease the radius of circle to r//2 . (a) Find the tension in the string when the block moves in a circle of radius r//2 . (b) Calculate the change in the kinetic energy of the block.

A mass m is attached to a string passing through a small hole in a frictionless, horizontal surface. The mass is initially orbiting with a velocity v_(1) in a circle of radius r_(1) The string is then slowly pulled from below, decreasing the radius of the circles to r_2 (i) What is the speed of the mass when the radius is r_2 ? (ii) What is the tension in the string ? (iii) What is the work done in moving the mass m from r_(1) to r_(2) ?

An air puck of mass m_(1) is tied to a string allowed to revolved in a circle of radius R on a frictionless horizontal table . The other end of the string passes through a small hole in the centre of the table , and a load of mass m_(2) is tied to the string? The suspended load remains in equilibrium while the pack on the tabletop revolves. a. Find the tension in the string b. Find the radial force acting on the puck c. Find the speed of the puck d. Qualitaively describe what will happen in the motion of the puck if the value of m_(2) is somewhat increased by placing an additional load on it. e.Qualitaively describe what will happen in the motion of the puck if the value of m_(2) is instead decreased removing a part from the hanging load.

An air puck of mass m_(1) is tied to a string allowed to revolved in a circle of radius R on a frictionless horizontal table . The other end of the string passes through a small hole in the centre of the table , and a load of mass m_(2) is tied to the string? The suspended load remains in equilibrium while the pack on the tabletop revolves. a. Find the tension in the string b. Find the radial force acting on the puck c. Find the speed of the puck d. Qualitaively describe what will happen in the monsion of the puck if the value of m_(2) is somewhat increased by placing an additional load on it. e.Qualitaively describe what will happen in the monsion of the puck if the value of m_(2) is instead decreased removing a part from the hanging load.

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 : .

A mass of 0.675 kg on a frictionless table is attached to a string which passes through a hole in the table at the centre. If the radius of the circle in which the mass rotates, is 5 m when its speed is 10 ms^(-1) , find the tension of the string. It is found that on drawing down the string by 0.2 m, the tension is increased 4.63 times. Calculate the work done by the string on the revolving mass during the reduction of the radius. [Hint : Apply work-energy theorem to find work done by the force]

A mass is supported on a frictionless horizontal surface. It Is attached to a string and rotates about a fixed center at an angular velocity omega_(0) .If the length of the string and angular velocity both are doubled, the tension in the string which was initially T_(0) is now

A puck of mass m = 50.0 g is attached to a taut cord passing through a small hole in a frictionless, horizontal surface (Fig.) The puck is initially orbiting with speed v_i = 1.50 m//s in a circle of radius r_i = 0.30 m . The cord is then slowly pulled from below, decreasing the radius of the circle to r = 0.10 m . The puck's speed at the smaller radius is. .