In: Physics
Consider a cylinder rolling, without slipping, on an inclined flat surface (a ramp) that forms an angle = 30 º with respect to the horizontal direction. An external force F = 10 N parallel to the ramp is pushing the cylinder in the uphill direction, without creating any torque (that is, the force is acting directly on the center of mass of the cylinder). If the cylinder is released at a time t = 0 with a linear velocity of 1 m/s going downhill, determine its angular momentum at time t = 2 seconds. Make sure to specify both the magnitude and the direction of the angular momentum. The cylinder radius is 0.2 m and its mass is 0.5 Kg, and its moment of inertia is given by I = 0.5 m R2 . Make sure to draw the free-body diagram of the system and provide the derivation of all your equations.