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A small block of mass m starts from rest at the top of a frictionless ramp, which is at a height h above a horizontal tabletop, which also create angle 0, as shown in the side view above. The block slides down the smooth ramp and reaches point P with speed vo. After the block reaches point P at the bottom of the ramp, it slides on the tabletop guided by a circular vertical wall with radius R, as shown in the top view. The tabletop has negligible friction, and the coefficient of kinetic friction between the block and the circular wall is u. (a) Derive an expression for the acceleration of the block while its sliding down the ramp. Express your answer in terms of vo, m, h, and 0.

A small block of mass m starts from rest at the top of a frictionless ramp, which is at a height h above a horizontal tabletop, which also create angle 0, as shown in the side view above. The block slides down the smooth ramp and reaches point P with speed vo. After the block reaches point P at the bottom of the ramp, it slides on the tabletop guided by a circular vertical wall with radius R, as shown in the top view. The tabletop has negligible friction, and the coefficient of kinetic friction between the block and the circular wall is u. (a) Derive an expression for the acceleration of the block while its sliding down the ramp. Express your answer in terms of vo, m, h, and 0.

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m R Smooth Ramp P Side View Top View A small block of mass m starts from rest at the top of a frictionless ramp, which is at a height h above a horizontal tabletop, which also create angle 0, as shown in the side view above. The block slides down the smooth ramp and reaches point P with speed vo. After the block reaches point P at the bottom of the ramp, it slides on the tabletop guided by a circular vertical wall with radius R, as shown in the top view. The tabletop has negligible friction, and the coefficient of kinetic friction between the block and the circular wall is u. (a) Derive an expression for the acceleration of the block while its sliding down the ramp. Express your answer in terms of vo, m, h, and 0.
Transcribed Image Text:m R Smooth Ramp P Side View Top View A small block of mass m starts from rest at the top of a frictionless ramp, which is at a height h above a horizontal tabletop, which also create angle 0, as shown in the side view above. The block slides down the smooth ramp and reaches point P with speed vo. After the block reaches point P at the bottom of the ramp, it slides on the tabletop guided by a circular vertical wall with radius R, as shown in the top view. The tabletop has negligible friction, and the coefficient of kinetic friction between the block and the circular wall is u. (a) Derive an expression for the acceleration of the block while its sliding down the ramp. Express your answer in terms of vo, m, h, and 0.
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