What Are the Unknown Masses and Tensions in a 20kg Static Pulley System?

[Suarden]

Homework Statement

Mass 1 is 20Kg, find m2 and m3 and the tensions please help


I do not know where to start :( Please help.

 

[Suarden]

Please helppppppp

 

[ehild]

Do you mean the set-up in the figure attached?

Draw the free body diagrams for all blocks. What are the conditions that the blocks are static?

ehild

 

[serllus reuel]

think of how m1 can be static. the force on the other side of the rope can be difficult, think carefully about how m2 and m3 contribute. perhaps apply f=ma to the pulley; the result is interesting

 

[Nickie]

I would approach this static pulley problem by first analyzing the given information and understanding the principles of pulley systems. From the given information, we know that mass 1 is 20 kg and we need to find the masses of m2 and m3, as well as the tensions in the system.

To solve this problem, we can use the principles of equilibrium, where the forces acting on the system must balance out. We can also apply the principle of conservation of energy, where the total energy of the system remains constant.

First, we can draw a free-body diagram of the system, showing all the forces acting on each mass. This will help us visualize the problem and determine the direction of the forces. Next, we can apply the equations of equilibrium, which state that the sum of all the forces in the x and y directions must equal zero.

To find the masses of m2 and m3, we can use the principle of conservation of energy. We know that the potential energy of mass 1 is equal to the combined potential energy of m2 and m3. We can set up an equation using the mass and height of each object to solve for the unknown masses.

To find the tensions in the system, we can use the equations of equilibrium again. We know that the tension in the rope is the same throughout the system, so we can equate the tensions in the rope on either side of the pulley to find the unknown tensions.

In conclusion, to solve this static pulley problem, we need to apply the principles of equilibrium and conservation of energy, and use the equations of equilibrium to solve for the unknown masses and tensions. By carefully analyzing the problem and using these principles, we can find a solution to this static pulley problem.