# Is it possible if $M$ goes up and $m$ comes down? [closed]

Masses M and m are connected to a system of strings and pulleys as shown in the diagram.The strings are massless and inextensible, and the pulleys are massless and frictionless. The cross hatched horizontal beams are fixed in place.Is there any kind of setting where mass M would move up and mass m decend considering that the system is in static situation (i.e., when the two masses are in equilibrium with neither M nor m moving).

• just increase the mass of m
– user65081
Commented Sep 14, 2020 at 22:16
• Are you sure this is what you want to ask. If neither M nor m are moving then obviously M is not moving up and m is not descending.
– Dale
Commented Sep 14, 2020 at 22:29
• They are moving, sorry for my wordings Commented Sep 14, 2020 at 22:37
• I’m voting to close this question because homework-like questions should include an attempt at a solution. Commented Sep 14, 2020 at 23:29
• If M equals 2 times m then they are at equilibrium. Commented Sep 15, 2020 at 0:26

But if the values of $$m$$ and $$M$$ are known then you only have two unknowns - the tensions in the two ropes. You can eliminate these two unknowns from the three equations and derive a relationship between $$m$$ and $$M$$ that must be satisfied in equilibrium.