Is Fgy the Same as FN in a System with Two Masses and Friction?

Click For Summary
SUMMARY

The discussion clarifies the relationship between the gravitational force component (Fgy) and the normal force (FN) in a system involving two masses and friction. Specifically, Fgy is calculated using the formula Fgy = Fg sin(theta), where Fg is the weight of the mass and theta is the angle of the incline. The correct calculation for Fgy, given a mass of 20 kg and an incline angle of 35 degrees, results in Fgy = 112.5 N. The participants emphasize the importance of drawing a force diagram to accurately understand the forces acting on the first mass (m1).

PREREQUISITES
  • Understanding of basic physics concepts such as forces and inclines
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Familiarity with free-body diagrams
  • Basic understanding of Newton's laws of motion
NEXT STEPS
  • Study the principles of free-body diagrams in physics
  • Learn how to apply trigonometric functions in force calculations
  • Explore the effects of friction on inclined planes
  • Investigate the dynamics of pulley systems in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for clarification on force interactions in systems with inclines and friction.

danielsmith123123
Messages
26
Reaction score
4
Please do not delete parts of your post after you have received help on schoolwork problems
Homework Statement
what is the acceleration and tension of this system
Coefficient of kinetic friction = 0.5
“” “ static “ = 0.6
Mass1 = 20kg
Mass2= 12kg
Relevant Equations
F= ma
Fg = mg
I am just confused on how to find the normal force/ FN of the first object. My classmates are saying Fgy is the exact same as Fn but I don’t get why

Fgy= Fg sin theta
Fgy= (20)(9.81) (sin35)
Fgy= 112.5

Fgy = FN
 
Physics news on Phys.org
Your classmates are wrong. Having said that, your expression is incorrect. Draw a force diagram for m1 and you will see why. Hint: sine = opposite/hypotenuse; cosine = adjacent/hypotenuse.
 
kuruman said:
Your classmates are wrong. Having said that, your expression is incorrect. Draw a force diagram for m1 and you will see why. Hint: sine = opposite/hypotenuse; cosine = adjacent/hypotenuse.
Ok, thank you
 
Is there a diagram that goes with this problem?
 
berkeman said:
Is there a diagram that goes with this problem?
There was, but now it's gone. It showed two masses, m1 on an incline attached to a rope over a pulley to a m2 hanging straight down.
 
  • Informative
Likes   Reactions: berkeman
Thanks @kuruman -- I looked in the post history and didn't see a figure. OP must have deleted it after you helped them.
 
  • Like
Likes   Reactions: kuruman

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
12K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
4
Views
17K
  • · Replies 20 ·
Replies
20
Views
3K
Replies
2
Views
2K
Replies
13
Views
4K
Replies
4
Views
3K