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. A uniform ring with mass M/2 and radius R is wrapped by a rigid string. The string runs over a disk-shaped pulley with mass M and radius 2R that is mounted on a frictionless axle through its center. A block of mass M/2 is suspended from the free end of the string. The string doesn't slip over the pulley's surface and the ring rolls without slipping on the tabletop, starting from rest. (Ring: Iem = MR², Disk: Icm= ;MR²) (a) Draw forces acting on the ring, the pulley, and the block. (b) Find the tensions in the string on both sides of the pulley. (c) Find the magnitude of the acceleration of the block. (d) Use energy method to find the velocity of the block when it descends by h.

. A uniform ring with mass M/2 and radius R is wrapped by a rigid string. The string runs over a disk-shaped pulley with mass M and radius 2R that is mounted on a frictionless axle through its center. A block of mass M/2 is suspended from the free end of the string. The string doesn't slip over the pulley's surface and the ring rolls without slipping on the tabletop, starting from rest. (Ring: Iem = MR², Disk: Icm= ;MR²) (a) Draw forces acting on the ring, the pulley, and the block. (b) Find the tensions in the string on both sides of the pulley. (c) Find the magnitude of the acceleration of the block. (d) Use energy method to find the velocity of the block when it descends by h.

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1. A uniform ring with mass M/2 and radius R is wrapped by a rigid string. The string runs over a disk-shaped pulley with mass M and radius 2R that is mounted on a frictionless axle through its center. A block of mass M/2 is suspended from the free end of the string. The string doesn't slip over the pulley's surface and the ring rolls without slipping on the tabletop, starting from rest. (Ring: Iem = MR², Disk: Iem= MR²) 2 (a) Draw forces acting on the ring, the pulley, and the block. (b) Find the tensions in the string on both sides of the pulley. (c) Find the magnitude of the acceleration of the block. (d) Use energy method to find the velocity of the block when it descends by h. M/2
Transcribed Image Text:1. A uniform ring with mass M/2 and radius R is wrapped by a rigid string. The string runs over a disk-shaped pulley with mass M and radius 2R that is mounted on a frictionless axle through its center. A block of mass M/2 is suspended from the free end of the string. The string doesn't slip over the pulley's surface and the ring rolls without slipping on the tabletop, starting from rest. (Ring: Iem = MR², Disk: Iem= MR²) 2 (a) Draw forces acting on the ring, the pulley, and the block. (b) Find the tensions in the string on both sides of the pulley. (c) Find the magnitude of the acceleration of the block. (d) Use energy method to find the velocity of the block when it descends by h. M/2
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