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Two weights W, and W, 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)

a
2W1W2W1+W2
b
W1W2W1+W2
c
4W1W2W1+W2
d
W1W22W1+W2

detailed solution

Correct option is C

See fig.Here T=(2m1m2m2+m2)g or T2(m1g)(m2g)(m1g+m2g) =2W1W2W1+W2When the pulley is accelerating, upward with acceleration g, each weight is doubled.[∵W′=m(g+a)=m(g+g)=2mg]Newton tension 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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