Block A rests on plate B in the position shown. The block and plate are connected by a rope passing through a frictionle

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Block A Rests On Plate B In The Position Shown The Block And Plate Are Connected By A Rope Passing Through A Frictionle 1 (482.72 KiB) Viewed 40 times

Block A rests on plate B in the position shown. The block and plate are connected by a rope passing through a frictionless pulley. How far will block B slide in 0.5s? (25 points) a) Draw the free body diagram and kinetic diagram for block A and plate B. Be sure to draw the inertial coordinate system! (6 points) b) Write the equations of motion for the block and the plate. (4 points) c) Write an equation relating the acceleration of block A to the tension in the rope. (3 points) d) Write an equation relating the acceleration of plate B to the tension in the rope. (3 points) e) Using kinematics, write an equation relating the acceleration of block A to plate B. Be sure to draw all relevant diagrams! (3 points) f) Solve for the acceleration of block A and plate B. (4 points) 8) Assuming the system starts at rest, find the distance plate B travels in 0.5s. (2 points) h) BONUS: How far does block A travel on plate B in the same time? (1 point) HAB=0.5 1m B 2.5° HBC = 0.2 C mA = 15 kg mg = 60 kg