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.

Question

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.

Infinity Learn · Accepted Answer

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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