Is F2 Equal to F1 When m2 Swings Vertically?

[mac227]

Homework Statement

I have a force F1 exerted by a string on a mass m1. m1 is stationary and hanging from the string. m2 is swinging on a different string in a vertical plane. The force exerted on the string by m2 when the string is vertical and the mass is downward if F2. Will F2 be equivalent to F1? And is mass in translational equilibrium? (m1 and m2 are equal masses)

Homework Equations

The Attempt at a Solution

I am fairly confident the two forces are not equal. mass 1 is in translational equilibrium because the net force is 0, but mass 2 is not in translational equilibrium--so these forces are not equal. Because m2 is swinging there is an acceleration inwards correct? Which mean there if an inward force? But F2 is when the mass is exactly verticl and at that moment there is acceleration in some direction due to the swinging motion. Because of this acceleration there is an inward force which would mean that F2 is a weaker force than F1?

 

[anathema]

Hello,

You are correct in your thinking that F1 and F2 are not equivalent. In this scenario, F1 is the tension force in the string holding up m1, while F2 is the force exerted by m2 on the string when it is hanging vertically. These forces are not equal because they are acting in different directions.

As for the question of translational equilibrium, you are also correct that m1 is in translational equilibrium because the net force on it is 0. However, m2 is not in translational equilibrium because there is an inward force acting on it due to its swinging motion. This inward force is what causes the acceleration towards the center of the swinging motion.

Overall, your understanding of the forces and equilibrium in this scenario is correct. Keep up the good work!