Question

The system is in equilibrium, and the pulleys are weightless and frictionless.

Find the tension T.
The acceleration of gravity is 32 ft/s^2
Note: lb ≡ slug · ft/s^2

Answer in units of lb.

There is an attachment of the system below

Answer 1

F = M a where F is in lbs, M in slugs and a in ft/s^2

Apparently this system is motionless so

T + 15 is the downward force on the mass of 15 lbs

1 slug * 32 ft/s^2 is 32 lbs the weight of the other block

It takes a force of 32 / 2 = 16 lbs on the cable to support this weight

16 lbs = T + 15 lbs

T = 1 lbs