As shown, two blocks, resting on different inclines, are connected by an inelast
ID: 1881829 • Letter: A
Question
As shown, two blocks, resting on different inclines, are connected by an inelastic cable that passes over a frictionless pulley(Figure 2). Block A weighs 19.0 lb and block B weighs 43.0 lb . The incline angles are 1 = 22.0 degrees and 2 = 59.0 degrees , and the coefficient of kinetic friction between the blocks and the inclines is k = 0.100. When the blocks are released from rest, block B slides down its incline. What is the magnitude of block A's velocity, vA, after block B has slid 3.30 ft ? Express your answer to three significant figures and include the appropriate units.
Explanation / Answer
Solution,
Net pulling force,
(43 sin 59 - 19 sin 22) g = 29.74 g N
Net frictional force,
0.25 (43 cos 59 + 19 cos 22) g = 9.94 g N
Resultant force = (29.74 - 9.94) g = 19.80 g N
Acceleration of both masses,
Force / mass = 19.80 g / 62
Acceleration, a = 10.28 ft /s^2
Using 3rd equation of motion,
v^2 = 2 a s = 2 x 10.28 x 3.30 = 67.87
v = 8.24 ft /s
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