Two blocks are connected by an ideal cord that does not stretch, the cord passes

Question

Two blocks are connected by an ideal cord that does not stretch, the cord passes over an ideal pulley. If the weights of the blocks are W1=91.8 lbf and W2=45.6 lbf, what is the y-component of the acceleration of the second block? Two blocks are connected by an ideal cord that does not stretch, the cord passes over an ideal pulley. If the weights of the blocks are W1=91.8 lbf and W2=45.6 lbf, what is the y-component of the acceleration of the second block? Two blocks are connected by an ideal cord that does not stretch, the cord passes over an ideal pulley. If the weights of the blocks are W1=91.8 lbf and W2=45.6 lbf, what is the y-component of the acceleration of the second block?

Explanation / Answer

given, W1 = m1 * g = 91.8 lbf = 408.3467 N
m1 = 408.3467 / 9.8 = 41.67 kg
w2 = m2 * g = 45.6 lbf = 202.8389 N
m2 = 202.8389 / 9.8 = 20.70 kg
a = g(m2 - m1) / (m2 + m1)
a = (9.8 * 20.97) / 62.37
therefore, a = 3.2949 m/s2

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