One pulley attached between two blocks, both sliding on wood.

In summary, the conversation discusses setting up an equation of motion for two blocks connected by a rope. The tensions in the two ropes are equal, and by finding all the forces acting on each block and setting them equal to their respective masses times acceleration, the equation can be simplified to one variable and solved for one of the masses.
  • #1
XwakeriderX
49
0

Homework Statement


See attachment!



Homework Equations


Fk=UkN



The Attempt at a Solution


I can't find a way to start this problem can someone guide me please!
 

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  • #2
You need to set up an equation of motion for block one and block two separately. You can also use the fact that the tension in the rope attached to block 1 is equal to the tension in the rope attached to block 2. Then you can solve for m1.
 
  • #3
how would i do that?
 
  • #4
Find all the forces acting on block 1 and set that equal to m1a. Then find all the forces acting on block two and set that equal to m2a. Then by solving for T, you can get the equation down to one variable and solve for m1.
 
  • #5
Okay block 2 has:
Normal force
Friction
Tension
Weight of 49

Block one has:
normal force
Tension
and Weight

Please! help me get started!
 

1. How does a pulley work in this scenario?

The pulley acts as a simple machine that changes the direction of the force applied to the blocks. The force applied to one block is transmitted to the other block through the pulley, resulting in the movement of both blocks.

2. What is the purpose of attaching the pulley between the two blocks?

The pulley allows the force to be distributed between the two blocks, making it easier to move them. Without the pulley, a greater force would be required to move the blocks individually.

3. How does the pulley affect the friction between the blocks and the wood surface?

The pulley does not directly affect the friction between the blocks and the wood surface. However, by reducing the force required to move the blocks, it indirectly reduces the friction by distributing the force between the two blocks.

4. Can the pulley be used to lift the blocks off the wood surface?

Yes, the pulley can be used to lift the blocks off the wood surface. However, the weight of the blocks must be taken into consideration and a greater force will be required to lift them.

5. Are there any other factors that can affect the movement of the blocks in this scenario?

Other factors that can affect the movement of the blocks include the weight of the blocks, the angle at which the pulley is attached, and the friction between the pulley and the blocks. Additionally, any external forces such as wind or vibrations can also impact the movement of the blocks.

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