1. A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. h R M (a) Draw a diagram of the disk showing the axis of rotation, all of the forces acting on the disk and the lever arms for each force. (b) Write down a rotational Newton's 2nd law based on the diagram you just drew. Using the equation from part b; (c) Show that the tension in the string is one third of the weight of the disk. (d) Show that the magnitude of the acceleration of the cente of mass is 2g/3.
1. A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. h R M (a) Draw a diagram of the disk showing the axis of rotation, all of the forces acting on the disk and the lever arms for each force. (b) Write down a rotational Newton's 2nd law based on the diagram you just drew. Using the equation from part b; (c) Show that the tension in the string is one third of the weight of the disk. (d) Show that the magnitude of the acceleration of the cente of mass is 2g/3.
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