Two packing crates of masses m 1 = 10.0 kg and m 2 = 3.60 kg are connected by a
ID: 1264131 • Letter: T
Question
Two packing crates of masses m1 = 10.0 kg and m2 = 3.60 kg are connected by a light string that passes over a frictionless pulley as in the figure. The 3.60-kg crate lies on a smooth incline of angle 38.0
Two packing crates of masses m1 = 10.0 kg and m2 = 3.60 kg are connected by a light string that passes over a frictionless pulley as in the figure. The 3.60-kg crate lies on a smooth incline of angle 38.0 A degree . (a) Find the acceleration of the 3.60-kg crate. m/s^2 (up the incline) (b) Find the tension in the string. NExplanation / Answer
Forces acting on string are ..
F2 = Weight component of M2 acting down slope
F2 = M2.g sin38 = 3.6kg x 9.80 x sin38 = 21.72N
F1 = Weight M1.g =10.0kg x 9.80 = 98.0 N
Resultant force acting in system = (98.0 - 21.72) = 76.27 N
System acceleration = F/m = 76.27N / (3.60 + 10.0)kg i.e a = 5.60 m/s
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