An object of mass ?1=0.115 kgm1=0.115 kg undergoes uniform circular motion. It is connected by a massless string through a hole in a frictionless table to a larger object of mass ?2=0.245 kgm2=0.245 kg , as shown in the figure. Assuming the larger object is stationary, calculate the tension ?T in the string and the linear speed ?v of the circular motion of the smaller object on the table. Assume that the radius ?R of the circular path of the smaller object is equal to

O Macmillan Learning An object of mass m₁ = 0.105 kg undergoes uniform circular motion. It is connected by a massless string through a hole in a frictionless table to a larger object of mass m₂ = 0.275 kg, as shown in the figure. Assuming the larger object is stationary, calculate the tension T in the string and the linear speed u of the circular motion of the smaller object on the table. Assume that the radius R of the circular path of the smaller object is equal to 1.00 m. T = V = N m/s

Two identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They skate in a circle about the center of the rope (the center of mass of the two-body system) and perpendicular to the ice. The mass of each twin is 78.0 kg. The rope of negligible mass is 3.5 m long and they move at a speed of 5.40 m/s. a)What is the magnitude, in kg · m2/s, of the angular momentum of the system comprised of the two twins?   (b)They now pull on the rope and move closer to each other so that the rope between them is now half as long. Determine the speed, in m/s, with which they move now.    (c)The two twins have to do work in order to move closer to each other. How much work, in joules, did they do?

In the figure, block 1 has mass m₁ - 470 g, block 2 has mass m₂ - 501 g, and the pulley is on a frictionless horizontal axle and has radius R-5.00 cm. When released from rest, block 2 falls 72.0 cm in 3.30 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T₂ (the tension force on the block 2) and (c) tension T₁ (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g -9.81 m/s². (a) Number (b) Number i (c) Number (d) Number i (e) Number i Units Units Units Units Units my 1112 <