into a vertical circle of radius R as shown, along which it is free to slide. Su
ID: 2030189 • Letter: I
Question
into a vertical circle of radius R as shown, along which it is free to slide. Suppose the bead is drawn back up the wire to a distance h above the bottom of the circular loop, where h 7/hR, and released from rest. (a) Find the speed of the bead at point A in the illustration. (b) Calculate the normal force at this same point. A pair of masses and an ideal pulley are used to set up an Atwood machine experiment as shown. Initially, the mass m2 is resting on a table while mi is suspended a distance h above the tabletop. The hanging mass is then released from rest and begins descending. (a) How fast is m2 moving the moment mi strikes the table? (b) How high above the tabletop does m2 climb in its motion? 3. A gun tackle consits of a light rope and two ideal pulleys. One end of the rope is attached to the ceiling and wrapped around both pulleys, as depicted, while the other end is fastned to mass A. Mass B hangs off the pulley that is free to move. The second pulley is attached to the ceiling. Initially the blocks, which have the same mass, are suspended at the same distance from the ceiling and are subsequently released from rest. Determine how fast block A moves the instant that the blocks are a distance h apart from each another. A B A stress-relieving attraction at the local fair consits of a 77.0-cm bar hung on a frictionl zontal axle. The object is to strike a much heavier bob that is hanging from the bar in order to ge 4. t e tbo mllast tangential velocity the boExplanation / Answer
(b) Height climbed by m2 = height descended by m1 = h
(a)
Acceleration achieved:
a = (m1-m2)g/(m1+m2)
Use the kinematic eqn to determine the speed v:
v2 = u2 +2ah
=> v2 = 0 +2*(m1-m2)g/(m1+m2) * h
=> v = sqrt[2h(m1-m2)g/(m1+m2)]
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