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Q.

A flat car is given an acceleration a0 = 2 m/s2 starting from rest. A cable is connected to a crate of weight 50 kg as shown whose other end is attached to a fixed support on ground. Neglect friction between the floor and the car wheels and also the mass of the pulley. Calculate corresponding tension in the cable if μ= 0.30 between the crate and the floor of the car.

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a

250 N

b

none of these

c

300 N

d

350 N

answer is A.

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Detailed Solution

Acceleration of crate will be 2a0.

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T-fk = m(2a0)     T-μmg = 2ma0

 T - 0.3× 50 ×10 = 50×2 ×2    T = 350 N

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