1) Two masses are connected by a string which passes over a pulley with negligib

Question

1) Two masses are connected by a string which passes over a pulley with negligible mass and friction. One mass hangs vertically and one mass slides on a frictionless horizontal surface. The vertically hanging mass is 6.00-kg and the mass on the horizontal surface is 4.00 kg. The acceleration of the 4.00-kg mass is
A) 1.98 m/s2.
B) 3.92 m/s2.
C) 5.88 m/s2.
D) 6.75 m/s2.
E) 7.84 m/s2.

2) Two masses are connected by a string which passes over a pulley with negligible mass and friction. One mass hangs vertically and one mass slides on a frictionless horizontal surface. The vertically hanging mass is 6.00-kg and the mass on the horizontal surface is 4.00 kg. The acceleration of the 4.00-kg mass is
A) 1.98 m/s2.
B) 3.92 m/s2.
C) 5.88 m/s2.
D) 6.75 m/s2.
E) 7.84 m/s2.

Explanation / Answer

Both the questions asked are same. Solving it: Net force acting on the vertically hanging mass = Mg - T Let its acceleration be a So, Mg - T = Ma .........(1) Net force acting on the mass resting on horizontal table in horizontal direction = T This is the force which is actually pulling the mass. Hence, T = ma .........(2) Solving both the equations and putting M = 6 and m = 4, we get, a = 5.88 m/s^2 Ans

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