Calculate Acceleration of 5kg Box w/ μ=.5 & 2kg Mass Falling

  • Thread starter Thread starter Ozball
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on calculating the acceleration of a 5kg box with a coefficient of friction (μ) of 0.5, which is connected via a massless cord over a frictionless pulley to a 2kg mass that falls freely. The net force acting on the system is determined by the gravitational force on the 2kg mass and the frictional force opposing the motion of the 5kg box. The frictional force is calculated using the formula: Force of friction = μ * weight, where weight is the gravitational force acting on the box. Understanding both static and kinetic friction coefficients is essential for accurately determining the box's acceleration.

PREREQUISITES
  • Newton's Second Law of Motion
  • Understanding of friction coefficients (static and kinetic)
  • Basic principles of pulleys and tension in strings
  • Knowledge of gravitational force calculations
NEXT STEPS
  • Study the application of Newton's laws in multi-body systems
  • Learn about calculating forces in pulley systems
  • Explore the differences between static and kinetic friction in practical scenarios
  • Investigate the effects of varying coefficients of friction on acceleration
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding dynamics involving friction and pulley systems.

Ozball
Messages
1
Reaction score
0
1. Calculate the acceleration of a box with a mass of 5kg and μ=.5 when attached by a massless cord over frictionless pulley to a 2kg mass that is allowed to fall freely. The box is on a table, the pulley is hanging off.



2. I know a = (Fnet/total mass) but I am not sure what to do with μ! Can someone explain it to me?
 
Physics news on Phys.org
When you pull a sled on ice, it is easy to pull because μ is small.
When you pull it on gravel, it is hard to pull because μ is larger.
μ is the fraction of the weight that the friction force is.
Force of friction = μ*weight.
(When on a slope at an angle, you have to use the normal force - the component of the weight that pushes against the slope.)
 
Think of mu (μ) as the magnitude of how much an object cancels out the forces trying to accelerate it.

There are two mu values for any object. The static and kinetic friction coefficients. Static is the resistance for an object to acceleration, kinetic is the resistance to acceleration after it starts moving.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
6K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
1
Views
6K
  • · Replies 30 ·
2
Replies
30
Views
4K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 24 ·
Replies
24
Views
10K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
8K
Replies
2
Views
8K