In the following pulley system, the pulleys and string are both massless. if the system is in equilibrium, what is m/m?

M/m = 1/2

Explanation:

If we make a free body diagram, (as in the attached image)

There is no displacement of the pulley, and therefore the sum of forces at y-axis will be equal to zero.

this means that the temperature of both substances will be equal

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2