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
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.