Angled Forces: Finding Components, Normal Force, and Acceleration

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SUMMARY

The discussion focuses on calculating the components of weight forces for a 57.4 kg crate resting on a 30-degree inclined plane. The key calculations involve determining the parallel force (Fgx), perpendicular force (Fgy), and the normal force. Additionally, the discussion addresses the acceleration of the crate down the plane, with a specific case of a crate weighing 5620 N. It concludes that acceleration does depend on weight and mass, emphasizing the relationship between these variables in inclined plane dynamics.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of trigonometric functions related to angles
  • Familiarity with force vector decomposition
  • Basic principles of inclined planes in physics
NEXT STEPS
  • Study vector decomposition in physics
  • Learn about calculating normal force on inclined planes
  • Explore the relationship between mass, weight, and acceleration
  • Investigate the dynamics of objects on inclined surfaces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for clear examples of force decomposition and acceleration calculations.

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Angled Forces HELP!

QUESTION: A 57.4 kg crate is resting on a plane inclined 30 degrees above the horizontal.
a) Find the compoents of weight forces that are parallel to the plane (Fgx) and perpendicular to the plane (Fgy)

b) Find the normal force

c) Find the acceleration down the plane

d) Find the acceleration down the plane if the crate weighed 5620 N

e) does acceleration depend on weight? Does it depend on mass?



2. Homework Equations - How do you set up this problem, or do anything? I'm so lost and I could really use a step by step explanation.



3. An attempt at a solution:

I drew a diagonal line with a box on it. Then I have my Normal force going directly perpendicular to the box, and my Fg going straight down from the box... Then I got lost :cry:
 
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Mbenjj0x0xx said:
QUESTION: A 57.4 kg crate is resting on a plane inclined 30 degrees above the horizontal.
a) Find the compoents of weight forces that are parallel to the plane (Fgx) and perpendicular to the plane (Fgy)

b) Find the normal force

c) Find the acceleration down the plane

d) Find the acceleration down the plane if the crate weighed 5620 N

e) does acceleration depend on weight? Does it depend on mass?



2. Homework Equations - How do you set up this problem, or do anything? I'm so lost and I could really use a step by step explanation.



3. An attempt at a solution:

I drew a diagonal line with a box on it. Then I have my Normal force going directly perpendicular to the box, and my Fg going straight down from the box... Then I got lost :cry:


Start by drawing the 57.4 kg force vector straight down from the incline. From the tip of that vector draw a line perpendicularly back up to the lncline. That forms a little 30-60-90 triangle with your normal force vector as the hypotenuse. The length of the other legs of that triangle give the magnitudes of the normal and parallel forces. You can figure those out because you know the angles.
 

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