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PHY 107 2007

# PHY 107 2007 - P1 Three blocks are connected by two...

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P1. Three blocks are connected by two massless cords, one of which wraps around a frictionless pulley with negligible mass (see figure below). Block A can slide on the table without friction. The masses are mA=30.0 kg, mB = 40.0 kg, and mC=10.0 kg. The assembly is released from rest at t = 0. a. (3) Draw a free body diagram for mA. Clearly label the axes. Make the drawing separately and not on the figure given below (also applicable to parts b and c). b. (3) Draw a free body diagram for mB. Clearly label the axes. c. (2) Draw a free body diagram for mC. Clearly label the axes. d. (4) Write down Newtons second law for mA in both x and y directions. e. (3) Write down Newtons second law for mB. f. (3) Write down Newtons second law for mC. g. (4) What is the acceleration a of A? h. (3) What is the tension T in the cord connecting B and C? Hint: The tensions in the two cords are generally not the same. P2. A roller coaster goes through a vertical circular section of the track (of radius R = 15.0 m) with a constant speed of v = 11.0 m/s in the counterclockwise direction as shown in the figure below. Point A is at

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