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Two weights W1 and W2 are attached to the ends of a string which passes over a frictionless pulley. If the pulley is placed in a rocket accelerating upwards at 9.8 m/s2, the tension in the string would be (take g = 9.8 m/s2)

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a
4W1W2W1+W2
b
2W1W2W1+W2
c
W1W2W1+W2
d
W1W2W1-W2

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detailed solution

Correct option is A

See fig.Tension in the stringT=(2m1m2m1+m2)g =2(m1g)(m2g)m1g+m2g=2W1W2W1+W2When the pulley is accelerating upwards accelerating, each weight is doubled.∴T′=2(2W1)(2W2)(2W1)+(2W2)=4W1W2W1+W2


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A constant force F = m2g/2 is applied on the block of mass m1 as shown. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of m1.


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