A mass 9.3 kg is attached to a light cord, which is wound around a pulley. The p

Question

A mass 9.3 kg is attached to a light cord, which is wound around a pulley. The pulley is a uniform solid cylinder of radius 6.7 cm and mass 3 kg. The acceleration of gravity is 9.8 m/s^2. (1.) What is the magnitude of the net torque on the system about the point on the axis at the center of the pulley? Answer in units of N m. When the mass has a speed v = 27 m/s, the pulley has an angular speed w = v/R. (2.) Determine the magnitude of the total angular momentum of the system about a point on the axis at the center of the pulley? Answer in units of kg m^2/s. (3.) Using fact that  = dL/dt and your result from the previous section, calculate the magnitude of the acceleration of the mass. Answer in units of m/s^2.

Explanation / Answer

Torque = I     -Rmg = 0.5MR2     = -2mg / MR    Torque = I=  0.5MR2             Total angular momentum L = I where = v /R      substitute values.   

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