Pulley problem with 2 masses and an incline

In summary, the conversation discusses solving a problem involving two masses connected by a rope and pulley system. The equations used include Fnet = ma, Fg = mg, and Ff = Mu x Fn. The poster asks for confirmation on their approach and clarifies that Fgx is the x component of the force of gravity and Ff is equal to the y component of Fg. The mentor reminds the poster to include their attempt when asking for help.
  • #1
lilmulla
7
0
1. A mass on a flat surface is pulled with an angled force of 200N (as shown) and is connected by a massless rope/pulley to another mass below on an incline. Find the acceleration and Tension in the rope.

Homework Equations


Fnet = ma
Fg = mg
Ff = Mu x Fn

The Attempt at a Solution


Had a question like this except with different masses/angles on a quiz and want to make sure I did it right.

Would the equation for M1 be Fnet = Fappx - Ft - Ff

And for M2:
Fnet = Ft - Ff - Fgx

And then you turn Fnet into ma, combine the two equations to make Ft cancel out, then solve for a since acceleration is the same for both masses in a pulley system?

Here's a pic of the problem: (won't let me upload from my phone)

http://m.imgur.com/1nYJKh4

Mentor's Note: Here's a visible version:
Fig1.png
 
Last edited by a moderator:
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  • #2
Yes. This looks right.
 
  • #3
Yashbhatt said:
Yes. This looks right.
Great! And for the normal force on M1 (to figure out friction), would it be M1g - 200sintheta ?
 
  • #4
lilmulla said:
Great! And for the normal force on M1 (to figure out friction), would it be M1g - 200sintheta ?
Yes. But you have not said what you mean by Fgx and Ff for M2.
 
  • #5
haruspex said:
Yes. But you have not said what you mean by Fgx and Ff for M2.
Oh, I meant Fgx is the x component of the force of gravity so (mgsin30) and Ff is = Fn which is equal to the y component of Fg so Ff = (0.2 x mgcos30)
 
  • #6
lilmulla said:
1. A mass on a flat surface is pulled with an angled force of 200N (as shown) and is connected by a massless rope/pulley to another mass below on an incline. Find the acceleration and Tension in the rope.2. Homework Equations
Fnet = ma
Fg = mg
Ff = Mu x Fn

The Attempt at a Solution


Had a question like this except with different masses/angles on a quiz and want to make sure I did it right.

Would the equation for M1 be Fnet = Fappx - Ft - Ff

And for M2:
Fnet = Ft - Ff - Fgx

And then you turn Fnet into ma, combine the two equations to make Ft cancel out, then solve for a since acceleration is the same for both masses in a pulley system?

Here's a pic of the problem: (won't let me upload from my phone)



Mentor's Note: Here's a visible version:
View attachment 89713

Pls..how to solve this problem..
 
  • #7
zxmahesh said:
Pls..how to solve this problem..
Per forum rules, please post an attempt.
 

1. How do you calculate the acceleration of the masses in a pulley system with an incline?

In order to calculate the acceleration of the masses, you will need to use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on the object divided by its mass. In this case, you will need to calculate the net force acting on each mass, taking into account the tension in the rope, the weight of the masses, and the force of friction on the incline. Once you have calculated the net force for each mass, divide it by the mass of the respective mass to determine the acceleration.

2. How does the angle of the incline affect the acceleration of the masses in a pulley system?

The angle of the incline can have a significant impact on the acceleration of the masses in a pulley system. The steeper the incline, the greater the force of friction acting on the masses, which will decrease their acceleration. Additionally, a steeper incline will increase the component of the weight of the masses acting parallel to the incline, which will also decrease their acceleration.

3. Can the masses in a pulley system with an incline have different accelerations?

Yes, it is possible for the masses in a pulley system with an incline to have different accelerations. This can occur if the masses have different masses or if they are on different inclines with varying angles. In this case, you will need to calculate the net force and acceleration for each mass separately.

4. How does the mass of the pulley affect the acceleration of the system?

The mass of the pulley itself does not affect the acceleration of the system. However, the mass of the pulley can impact the tension in the rope and the force of friction acting on the masses. In most pulley systems, the mass of the pulley is negligible compared to the masses being pulled, so it can usually be ignored in calculations.

5. How do you determine the direction of the acceleration in a pulley system with an incline?

The direction of the acceleration in a pulley system with an incline will depend on the net force acting on each mass. If the net force is in the same direction as the incline, the acceleration will be in that direction. If the net force is in the opposite direction of the incline, the acceleration will be in the opposite direction. It is important to consider the direction of the net force for each mass separately to determine the overall direction of the acceleration.

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