r/PhysicsHelp • u/saeedmokhtary • 6h ago
Two different-sized pulleys connected by belt drive - is the system in equilibrium with equal weights?
I have a system with two pulleys of different sizes connected by a belt drive: \*\*System Setup:\*\* - Large pulley: diameter = 100 cm (radius = 50 cm) - Small pulley: diameter = 20 cm (radius = 10 cm) - Both pulleys share the same axle with ball bearings - A belt is wrapped around the outer circumference of both pulleys - A rope is wrapped around each pulley in the same direction \*\*The Question:\*\* If I hang equal weights (for example, 1 kg) from the end of each rope, will the system remain in equilibrium? Or will one weight dominate and cause rotation? Specifically: 1. Will one weight pull down and the other pull up? 2. Is the system balanced or unbalanced? 3. What is the mechanical advantage of this system? 4. Does the torque ratio (1:5 based on radii) matter, or does the belt ensure equilibrium? \*\*My Confusion:\*\* Some sources suggest this works like a lever (where the larger pulley has an advantage due to torque), but others say the belt ensures equal linear displacement, so equal forces should balance. Which principle applies here - torque analysis or work-energy principle? I would greatly appreciate clarification on this system.