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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

350 N

b

250 N

c

300 N

d

none of these

answer is A.

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Detailed Solution

Acceleration of crate will be 2a0.T-fk = m(2a0)   ⇒  T-μmg = 2ma0T - 0.3 × 50 ×10 = 2 ×50×2   ⇒ T = 350 N
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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.