Q; Tow blocks <one of mass 5.0 kg & andthe other of mass 3.0kg, aer tid together

Question

    Q; Tow blocks <one of mass 5.0 kg & andthe other of mass 3.0kg, aer tid together with a massless    rope . This rope is atrung over a mass less,resistance-free pulley . the blocks are released from rest . Findthe following !             a. the tension inthe rope         b. the accelerationf the bloks         hint : you willneed to solve two simultaneous equations     Q; Tow blocks <one of mass 5.0 kg & andthe other of mass 3.0kg, aer tid together with a massless    rope . This rope is atrung over a mass less,resistance-free pulley . the blocks are released from rest . Findthe following !             a. the tension inthe rope         b. the accelerationf the bloks         hint : you willneed to solve two simultaneous equations

Explanation / Answer

let the acceleration be, since they are connected, they havethe same acceleration. let the tension be T, we have: 5.0kg*g - T = 5.0kg*a    (1) T-3.0kg*g = 3.0kg*a      (2) (1)+(2) , we have: 5.0kg*g - 3.0kg*g = (5.0kg+3.0kg)a a = (5.0kg*g - 3.0kg*g )/ (5.0kg+3.0kg) = 2.0 / 8.0 = 0.25m/s2 using (2) T=3.0kg*a + 3.0kg*g = 30.15N

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