b) A 10.0 kg box resting on a horizontal, frictionless surface is attached to a 6.00 kg weight by a thin, light wire that passes over a frictionless pulley. The pulley has the shape of a uniform solid disk of mass 1.80 kg and diameter 0.620 m (equation for the moment of Inertia is below). (Show all working as marks will be assigned for full and complete working, including diagrams).
(i) Draw a free body diagram for this example.
(ii) After the system is released, what is the acceleration of the box?
(iii) Find the tension in the wire on both sides of the pulley.
(iv) What are the horizontal and vertical components of the force that the axle exerts on the pulley?
c) A 16.0 kg block attached to a very light horizontal spring of force constant 535.0 N/m and is resting on a frictionless horizontal table. Suddenly it is struck by a 2.80 kg stone traveling horizontally at 10.00 m/s to the right, whereupon the stone rebounds at 3.00 m/s horizontally to the left.
(i) Find the velocity of the block (v'B) during the collision.
(ii) Find the maximum distance that the block will compress the spring after the collision.