Two masses, M1 = 3 kg and M2 = 2 kg, are connected by a light inextensible string passing over a frictionless pulley (Atwood machine). The acceleration of the system is (Take g = 10 m/s^2):
Explanation:
For an Atwood machine, the common acceleration of both masses is given by the formula a = [(M1 - M2) / (M1 + M2)] * g. Substituting the given values: a = [(3 - 2) / (3 + 2)] * 10 = (1 / 5) * 10 = 2 m/s^2. The heavier mass accelerates downwards, the lighter one upwards.
Explanation:
F = m×a. New force F' = (2m)×(a/2) = m×a = F. So force remains unchanged. This is direct proportionality. Understand the relationship: doubling mass doubles force, halving acceleration halves it, net effect no change.
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