Finding F on a box on an inclined plane

In summary, the problem involves a block with a weight of 87.5 N resting on a plane inclined at 25.0o to the horizontal. A force is applied at 50.0o to the horizontal to push the block upward on the plane. The coefficients of static and kinetic friction are given as 0.335 and 0.156, respectively. The questions ask for the minimum value of F needed to prevent the block from slipping down the plane, to start the block moving up the plane, and to maintain constant velocity while moving up the plane. The equations used are fs<= μs|N| and fk= μk|N|. The student attempted the problem using a free body diagram but got confused and
  • #1
mistabry
12
0

Homework Statement



A block weighing 87.5 N rests on a plane inclined at 25.0o to the horizontal. A force is applied to the object at 50.0o to the horizontal, pushing it upward on the plane. The coefficients of static and kinetic friction between the block and the plane are, respectively, 0.335 and 0.156.
(a) What is the minimum value of F that will prevent the block from slipping down the plane?
(b) What is the minimum value of F that will start the block moving up the plane?
(c) Once moving, what value of F will move the block up the plane with constant velocity?


Homework Equations


fs<= μs|N|
fk= μk|N|

The Attempt at a Solution


I attempted the problem by drawing out a free body diagram of what is occurring, but I was unable to continue after that because everything got all confusing! Help D;!
 
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  • #2
hi mistabry! :wink:

mistabry said:
I attempted the problem by drawing out a free body diagram of what is occurring, but I was unable to continue after that because everything got all confusing! Help D;!

the fbd has only four forces …

what are your x and y equations? :smile:
 
  • #3
You have to do it using FBD. Though confusing, you have to post it. We will take after that.
 

1. What is "F" in the context of finding F on a box on an inclined plane?

"F" represents the force acting on the box in the direction of the inclined plane. This force is often referred to as the "net force" and is a combination of the weight of the box and any additional forces acting on it.

2. How do you calculate the net force on a box on an inclined plane?

To calculate the net force on a box on an inclined plane, you need to determine the weight of the box (mg) and the force of gravity acting on the box (mg*sinθ). Then, you can use the formula F = mg*sinθ + μmg*cosθ, where μ is the coefficient of friction and θ is the angle of the incline.

3. What is the significance of finding F on a box on an inclined plane?

Finding F on a box on an inclined plane is important because it allows us to understand the forces acting on the box and predict its motion. This information is crucial for engineers and physicists when designing and analyzing structures and machines.

4. How does the angle of the incline affect the value of F?

The angle of the incline directly affects the value of F, as it determines the amount of force acting on the box in the direction of the incline. As the angle increases, the force required to keep the box from sliding down the incline also increases.

5. How does the coefficient of friction impact the value of F?

The coefficient of friction, represented by μ, is a measure of the resistance to motion between two surfaces in contact. A higher coefficient of friction means that more force is needed to keep the box from sliding down the incline, thus increasing the value of F. This is why it is important to consider the coefficient of friction when finding F on a box on an inclined plane.

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