Finding the applied force with theta, A, M, and Mu as givens?

In summary, the conversation discusses how to find the applied force needed to accelerate a 2kg block at 1.1 m/s^2 with a coefficient of kinetic friction of 0.3 at an angle of 25 degrees above the horizontal. The relevant equations are given, and the attempt at a solution is shown, with the variable for the normal force (Fn) still needing to be solved for. The conversation also includes a note on how to insert symbols and subscripts in the forum.
  • #1
Potatoe
2
0

Homework Statement


What must be the applied force (25 degrees above the horizontal) in order to accelerate a block at 1.1 m/s^2, if the mass is 2kg and the coefficient of kinetic friction is .3?

Homework Equations


F(net y)=Fn + Fav - W
Ff = μ x Fn
F(net x)=Fah-Ff

The Attempt at a Solution


I've substitued the variables in and gotten these:
2(1.1) - xsin25 + 2(9.81) = Fn
Ff = .3Fn
2(1.1) = xcos25 - Fn

How do I find Fn?
 
Last edited:
Physics news on Phys.org
  • #2
Sorry, I'm not sure how to insert mu as a symbol or do subscripts
 
  • #3
Potatoe said:
Sorry, I'm not sure how to insert mu as a symbol or do subscripts

Just copy and paste this symbol:

μ

where you need it, and to do subscripts or superscripts, just look at the toolbar at the top of the thread entry and you'll se a bold X with blue 2 subscript/superscript. It's near to big blue eye symbol and the TV icon!
 

Related to Finding the applied force with theta, A, M, and Mu as givens?

1. How do you find the applied force with theta, A, M, and Mu as givens?

In order to find the applied force, you will need to use the formula F = (M * g * Mu) / cos(theta) - A. First, make sure all units are consistent (such as converting mass to kilograms and force to Newtons), then plug in the values for the variables and solve for F.

2. Can you explain the significance of each variable in the formula for finding the applied force?

Theta refers to the angle of the incline or plane, A represents any additional forces acting against the object, M is the mass of the object, and Mu is the coefficient of friction between the object and the surface it is on. G is the acceleration due to gravity, which is typically 9.8 m/s^2.

3. What are some common applications for using this formula?

This formula is commonly used in physics and engineering to calculate the force needed to move an object on an incline or plane, taking into account factors such as friction and additional forces. It can also be applied in real-life scenarios, such as determining the force needed to push a car up a hill or move a heavy object on a ramp.

4. How does the coefficient of friction affect the applied force?

The coefficient of friction measures the amount of resistance or "stickiness" between two surfaces. A higher coefficient of friction means that more force is needed to overcome the resistance and move the object. Therefore, a higher Mu value will result in a higher applied force needed to move the object on an inclined plane.

5. Are there any limitations or assumptions when using this formula?

This formula assumes that the surface is flat and the object is moving in a straight line. It also assumes that the coefficient of friction remains constant throughout the movement and that the object is not accelerating. Additionally, this formula does not take into account air resistance or other external factors that may affect the movement of the object.

Similar threads

Mechanical Physics: Coefficient of Friction
Replies
20
Views
2K
Calculating Net Force and Friction: Understanding Newton's Laws of Motion
Replies
9
Views
2K
Coefficient of Friction when Normal Force is Reduced [HS]
Replies
5
Views
1K
For which case would the applied force be greater?
2
Replies
41
Views
3K
Finding Radial Force from Free Body Diagram
Replies
4
Views
1K
Determining Coefficient of Friction for Two Boxes with Applied Force
Replies
14
Views
1K
Mastering Jenga Tower Physics: Calculating Forces and Layers
Replies
20
Views
1K
Frictional Forces on a Wooden Crate with External Forces
Replies
1
Views
1K
Force of 5N applied to 5kg block on table w/ μk = .1
Replies
12
Views
3K
How Do You Calculate the Other Student's Force on a Trunk in Physics?
Replies
3
Views
3K

Hot Threads

Recent Insights

Back
Top