Race of the rolling bodies

 

A solid/homogeneous cylinder with a mass of 1.5 kg and a radius of 12 cm is started

(without sliding) upwards an inclined plane with an inclination angle of 28◦ . The starting speed of the cylinder

mass center is 5.0 m/s.

(a) Draw a figure showing the forces acting on the cylinder as it travels

up the inclined plane.

(b) Which direction does the friction force point when the cylinder is on its way down

the inclined plane? Is the same or opposite direction as when the cylinder is on

way up? Explain your answer.

(c) Find the acceleration of the center of mass along the inclined plane.

(d) How far up the inclined plane does the cylinder roll before it turns

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