5. A pulley and string arrangement is used to connect two objects A and B as sho

Question

5. A pulley and string arrangement is used to connect two objects A and B as shown in the diagram below. Here, mA = 5.20 kg and mB = 7.95 kg. The string connecting the two objects is of negligible mass and the pulley is frictionless. The objects start from rest and move with constant acceleration.

(a) What is the magnitude of the acceleration of each of the objects?

_________m/s^2

(b) What is the magnitude of the tension in the string?

________N

(c) Through what distance will the two objects move in the first three seconds of motion?

________m

Explanation / Answer

Newton's second law of motion is applied (Fnet=m.a) where m is the mass and a is the acceleration.

Incase of mass mA, Fnet=T-5.20g, and for mass mB, Fnet=7.95g-T

where T is the tension in string, g=9.8m/s2

7.95g-T=7.95a....eqn(1)

T-5.20g=5.20a.....eqn(2)

From (2) T=50.96+5.20a....eqn(3)

substituting (3) in (1) and solving

we get

a=2.049m/s2

(a) a=2.049m/s2

(b)

now solving (1)

we get tension in string T=61.621 N

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