Find the coefficient of friction and acceleration with masses given

  • #1
SSJBLOOD
5
0
Homework Statement
We need to find the kinetic friction and acceleration of a half Atwood system. The masses given are 295 grams and the smaller one is 147.5 grams.
Relevant Equations
\frac{1}{2}mv^{2}=mgh
\frac{g\left(m_{2}+m_{1}μ_{f}\right)}{m_{1}+m_{2}}
I tried to use the energy route but the acceleration was not a plausible one. It was just way too big.

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  • #2
What is the exact problem statement?
I see you are taking the distance for the friction as d=12m but the drop for the suspended mass is only 5m.
Since your KE takes the final velocity as applying to both masses, that should be when the upper mass has only moved 5m, no?
 
  • #3
Oh I see now thanks a lot
 
  • #4
I wasn't to sure on how to do it that was I just tried it
 
  • #5
The only thing we were allowed to use was a meter stick to find the coefficient of kinetic friction between the block and the table surface. We weren't given the acceleration
 
  • #6
SSJBLOOD said:
The only thing we were allowed to use was a meter stick to find the coefficient of kinetic friction between the block and the table surface. We weren't given the acceleration
You must know something else or there is not enough info. Did you time it until the suspended mass hit the floor? Or did the top mass stop before it reached the pulley and you measured how far it travelled in total?
 
  • #7
Yeah we had time it was 3.23 seconds
 
  • #8
SSJBLOOD said:
Yeah we had time it was 3.23 seconds
Then you can calculate the acceleration.
 
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1. How do you find the coefficient of friction with masses given?

To find the coefficient of friction with masses given, you first need to calculate the net force acting on the object by using the equation Fnet = ma, where Fnet is the net force, m is the mass of the object, and a is the acceleration. Then, use the equation Ffriction = μ * Fn, where Ffriction is the force of friction, μ is the coefficient of friction, and Fn is the normal force. Finally, solve for μ by rearranging the equation to μ = Ffriction / Fn.

2. How do you find the acceleration with masses given?

To find the acceleration with masses given, you can use the equation Fnet = ma, where Fnet is the net force acting on the object, m is the total mass of the object (including any additional masses), and a is the acceleration. Rearrange the equation to solve for acceleration by dividing the net force by the total mass of the object.

3. What units are used to measure the coefficient of friction?

The coefficient of friction is a unitless quantity, as it is a ratio of the force of friction to the normal force. Therefore, it does not have any specific units associated with it.

4. Can the coefficient of friction be greater than 1?

Yes, the coefficient of friction can be greater than 1. A coefficient of friction greater than 1 indicates that the force of friction is greater than the normal force acting on the object, resulting in a higher resistance to motion.

5. How does the coefficient of friction affect the acceleration of an object?

The coefficient of friction affects the acceleration of an object by determining the amount of frictional force opposing the motion of the object. A higher coefficient of friction will result in a greater force of friction, which in turn will reduce the acceleration of the object. Conversely, a lower coefficient of friction will result in less frictional force and a higher acceleration for the object.

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