I assume you meant the other way around.Gbox said:
haruspex said:
Do you see how it follows from that?Gbox said:
No I can't understand the forces mapharuspex said:
It's not to do with the forces. Consider the lengths of the three sections of strings. They add up to a constant, and two are always the same as each other. That allows you to express two in terms of the third. Then see how they relate to the two accelerations.Gbox said:
Can you show me the free body diagram of the forces acting in the systemharuspex said:
This thread was about the algebraic relationship between the two accelerations, which has nothing to do with the forces. It follows entirely from the constancy of the total string length.Crystal037 said:
The formula for calculating the acceleration of two masses connected by three pulleys is F=ma, where F is the net force acting on the system, m is the total mass of the system, and a is the resulting acceleration.
The pulleys in this system act as a mechanical advantage, allowing the force to be distributed and reducing the amount of force needed to move the masses. This results in a greater acceleration of the system.
Yes, the acceleration of the system can be negative if the net force acting on the system is in the opposite direction of the initial motion of the masses. This would result in the masses decelerating.
The placement of the pulleys can affect the acceleration of the system by changing the direction and distribution of the forces acting on the masses. Placing the pulleys closer together can increase the acceleration, while placing them further apart may decrease the acceleration.
Yes, the F=ma formula can be applied to systems with more than two masses and three pulleys. However, the calculations may become more complex as more masses and pulleys are added.