Inclined place friction problem

In summary, The problem involves two masses, A and B, on an incline with coefficients of friction between A and the incline being μs = 0.54 and μk = 0.24. Angle θ is 42° and the positive direction of the x-axis is down the slope. The acceleration of A is 0 if it is initially at rest, and it will have an acceleration if it is moving up or down the incline due to net forces acting on it.
  • #1
wbetting
24
0

Homework Statement



Body A in Fig. 6-33 weighs 96 N, and body B weighs 88 N. The coefficients of friction between A and the incline are μs = 0.54 and μk = 0.24. Angle θ is 42°. Let the positive direction of an x-axis be down the slope. What is the acceleration of A if A is initially (a) at rest, (b) moving up the incline, and (c) moving down the incline

Homework Equations



fs=usFn
Fk=ukFN
a=v^2/R

The Attempt at a Solution


I am so confused on this problem i dot even know where to start but I know part a is 0!
 
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  • #2
Here is the diagram
 

Attachments

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  • #3
Let's start with by drawing a free-body diagram for each mass.
Mass A has a force downward to center of Earth equal to its weight, the string that pulls it and third the friction that will appose the motion of the mass.
Mass B has 2 forces acting on it. Its weight and the string that pull up.

Remember if there is the net forces(ƩF≠0) on each mass then there's acceleration as in Newton's First Law.
Fnet=ma
 

Related to Inclined place friction problem

1. What is an inclined plane friction problem?

An inclined plane friction problem involves determining the forces and motion of an object on a sloped surface, taking into account the effects of friction.

2. How is the friction force calculated in an inclined plane problem?

The friction force is typically calculated using the equation Ff = μN, where μ is the coefficient of friction and N is the normal force acting on the object.

3. What factors affect the amount of friction in an inclined plane problem?

The amount of friction in an inclined plane problem is affected by the coefficient of friction between the surfaces, the normal force acting on the object, and the angle of inclination of the plane.

4. What is the difference between static and kinetic friction in an inclined plane problem?

Static friction occurs when there is no relative motion between the surfaces, while kinetic friction occurs when there is relative motion. In an inclined plane problem, the object may experience both types of friction as it moves up or down the slope.

5. How can an inclined plane problem be solved using Newton's laws of motion?

An inclined plane problem can be solved by applying Newton's second law (F=ma) in the direction of motion and considering the forces acting on the object, including friction. The equations of motion can then be used to determine the acceleration and other parameters of the object's motion.

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