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Coordinate system to find the acceleration

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5.) A solid cylinder of radius b, mass m, rolls down an incline of angle ß. Use a coordinate system attached to the lower end of the incline and find the acceleration of the cylinder along the plane.

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The expert examines coordinate systems to find the acceleration.

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Since the forces acting on the cylinder are time independent, then we can assume that the linear acceleration of the cylinder is constant.
Furthermore, we assume that the cylinder rolls with no slipping.
Hence the angular velocity of the cylinder is given by:
where R is the radius of the cylinder and v is the linear speed of the center of ...

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