Find the coefficient of friction and acceleration with masses given

In summary, to find the coefficient of friction and acceleration with given masses, one must first analyze the forces acting on the objects involved. The coefficient of friction can be determined using the formula \( f = \mu N \), where \( f \) is the frictional force, \( \mu \) is the coefficient of friction, and \( N \) is the normal force. The acceleration can be calculated using Newton's second law, \( F = ma \), where \( F \) is the net force acting on the mass, \( m \) is the mass, and \( a \) is the acceleration. By resolving the forces and applying these formulas, both the coefficient of friction and the acceleration can be derived.
  • #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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FAQ: Find the coefficient of friction and acceleration with masses given

How do you find the coefficient of friction between two surfaces?

To find the coefficient of friction (μ), you need to know the force of friction (F_friction) and the normal force (F_normal). The coefficient of friction is calculated using the formula μ = F_friction / F_normal. You can determine the force of friction by measuring the force needed to move one object over another, and the normal force is typically the weight of the object if it is on a horizontal surface.

What is the formula for calculating acceleration in a system with masses?

The acceleration (a) in a system with masses can be found using Newton's second law, F = ma, where F is the net force acting on the system and m is the total mass of the system. For a system involving multiple masses, you sum up the forces and divide by the total mass: a = F_net / m_total.

How do you determine the net force acting on a system with multiple masses?

To determine the net force (F_net) acting on a system with multiple masses, you need to consider all the forces acting on the system, including gravitational forces, tension, normal forces, and frictional forces. Sum these forces vectorially to find the net force. For example, if two masses are connected by a string over a pulley, you would consider the gravitational forces on each mass and the tension in the string.

How can you calculate the force of friction in a system with given masses?

The force of friction (F_friction) can be calculated using the formula F_friction = μ * F_normal, where μ is the coefficient of friction and F_normal is the normal force. The normal force is typically equal to the weight of the object if it is on a horizontal surface, which can be calculated as F_normal = m * g, where m is the mass and g is the acceleration due to gravity (9.8 m/s²).

What information do you need to solve for both the coefficient of friction and acceleration in a given problem?

To solve for both the coefficient of friction and acceleration, you need the following information: the masses involved, the forces acting on the masses (including gravitational force, applied forces, and tension), and any measurements of motion (such as acceleration or velocity). With these, you can use Newton's laws to set up equations that describe the system and solve for the unknowns.

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