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A light inextensible string runs over a frictionless, light pulley and carries two hanging blocks of masses m1 and m2. If the magnitude of the acceleration of the system is g/8, what is the ratio m1: m2?

1. 8: 1
2. 9: 7
3. 4: 3
4. 5: 3

Correct answer: 9: 7

Solution

The acceleration of the system is determined by the difference in weights of the two masses. Using Newton's second law, the ratio of the masses can be derived from the relationship between the gravitational force and the acceleration, leading to the conclusion that m1: m2 = 9: 7.

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