# Q7 (15 points): A solid cylinder of mass 5 kg and radius R 0.15 m rolls...

###### Question:

Q7 (15 points): A solid cylinder of mass 5 kg and radius R 0.15 m rolls without slipping on a horizontal surface and is accelerated to the right by a constant force F of magnitude 6 N that is applied at the cylinder by a massless rope as shown in the below figure. Find a) the magnitude of the acceleration of the center of mass of the cylinder, b) the magnitude of the angular acceleration of the cylinder about the center of mass and, c) the magnitude of the frictional force on the cylinder d) If the force of friction at contact point P becomes kinetic but not static, how will the motion of the cylinder change? (Rotational inertia of solid cylinder about central axis, IMR2.) Answer: a) 1.6 m/s2 b) 10.7 rad/s c)2 N d Slips

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