Question

Two strings are passing over a smooth pulley on one side they are attached to masses 3kg and 4kg respectively and on the other to one of 5kg .find the tension in the strings and the acceleration of the system

Answer 1

smaller mass = m1=3kg

» larger mass =m2=4kg

» Tension = T

» For mass m

1

=> T−m

1

g=ma ____eq(1)

» For mass m

2

=> m

2

g−T=m

2

a. ____eq(2)

» By eq(1) + eq(2)

=> (m

2

−m

1

)g = (m

1

+m

2

)a

=> a=(m

2

−m

1

)g/(m

1

+m

2

)

=> $$a = (4-3)×10/(4+3)$$

=>$$ a = 1×10/7 = 10/7$$

=> a=33.6ms

−

2