The diagram shows two disks of radius r and 3r fixed together to an axis. A mass m, hangs from a string wrapped around the smaller disk while a mass m2 hangs from a string wrapped around the larger wheel. Suppose m, and m2 are equal masses. Upon being released from rest, which mass will have the greater magnitude of linear acceleration, and which mass will accelerate upward? Greater magnitude linear acceleration Accelerates Upward m2 m2 m2 m2 O O o C

A coin of mass m and rotates on a circular platform of radius r at the fastest speed possible without the coin sliding off. In this case, the coin makes each revolution in 5.1 seconds (its period). The coin and platform have a coefficient of friction, that is unchanged. If the mass of the coin is increased by a factor of 7, what would be the new period? Give your answer to 1 decimal place

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?