Question: Please answer everything on the table age with work BLEM 3 (30 pts) 80 kg merry-go-round of radius 1.25 m is accelerated by wrapping a

Please answer everything on the table age with work

BLEM 3 (30 pts) 80 kg merry-go-round of radius 1.25 m is accelerated by wrapping a rope around it and pulling on it with a constant force of 25 N. The moment of inertia of a disk of mass M and radius R is MR. (A) (6 pts) What is the angular acceleration of the merry-go-round? For full credit draw an extended force diagram on the merry-go-round. Hint: Torque! Angular acceleration = (B) (4 pts) If the force is maintained for 4 seconds, what is the angular speed of the merry-go-round after 4 seconds? Hint: Angular kinematics! Angular speed = (C) (4 pts) Now the rope is removed and someone places a 10 kg block on the edge of the merry-go-round, which slows down the merry-go-round to 1.6 rad/s. The block does not slip due to static friction and rotates with the merry-go-round. On the diagram below, draw the forces acting on the block. Make sure to label these forces properly. (D) (4 pts) What is the linear (tangential) speed of the block? Linear speed = (E) (8 pts) Choose an xy coordinate system and write down Newton's 2nd law for both directions in variable form (as explained on the cover page). (F) (4 pts) The coefficient of static friction is 0.7. What are the normal force and the static friction force? Normal force = Static friction =

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