Calculating Normal Force on an Inclined Plane: What Changes?

Click For Summary
SUMMARY

The normal force (Fn) on a slanted surface can be calculated by analyzing the components of weight acting on the object. For an object on an incline, the normal force balances the component of weight perpendicular to the ramp, while the acceleration down the ramp is given by the equation a = g sin θ. This relationship is derived from the forces acting on the object, where F = ma applies to the resultant force, which includes gravitational force. The discussion clarifies that ma = mg only applies in free fall scenarios, not when an object is on an incline.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Basic knowledge of trigonometry and vector components
  • Familiarity with gravitational force and its components
  • Ability to use alt codes for superscripts and subscripts in Windows 7
NEXT STEPS
  • Study the derivation of normal force on inclined planes
  • Learn about vector decomposition in physics
  • Explore the concept of forces in equilibrium
  • Research advanced applications of Newton's laws in non-vertical motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined planes, as well as educators seeking to clarify concepts related to normal force and acceleration on slopes.

hawk 1sr
Messages
4
Reaction score
0
I know that normal force usually equals mg on a flat surface. but how do i find Fn on a slanted surface? And also, how do i make superscripts and subscripts with alt codes (windows 7)?

Also, is ma=mg

i know that a=acceleration, and that's usually because of gravity. But in the book I'm reading (physics for dummies), it gives me a long example for finding vectors and comes to the conclusion that:

a=g sin \theta

this is one of my first posts, cool website, I am thankful i joined. thank you for the help. One last thing, I will probably be having more problems like this involving what I am reading from my book. I was wondering if there was someone (you) that i could just email directly about problems (just for the sake of saving time).
 
Physics news on Phys.org
hawk 1sr said:
I know that normal force usually equals mg on a flat surface. but how do i find Fn on a slanted surface? And also, how do i make superscripts and subscripts with alt codes (windows 7)?

Also, is ma=mg

i know that a=acceleration, and that's usually because of gravity. But in the book I'm reading (physics for dummies), it gives me a long example for finding vectors and comes to the conclusion that:

a=g sin \theta

this is one of my first posts, cool website, I am thankful i joined. thank you for the help. One last thing, I will probably be having more problems like this involving what I am reading from my book. I was wondering if there was someone (you) that i could just email directly about problems (just for the sake of saving time).

What is the objects acceleration? If the acceleration is zero then the sum of the forces acting on the object is zero, and therefore the sum of the horizontal and vertical components of the forces are 0, so you can split each force into horizontal and vertical components using trigonometry and then use these to find the Normal Force.

F=ma only applies to the resultant force, ie the sum of all the forces acting on an object, which would include the weight, which is equal to mg.

The example given by the book, where a=g sin \theta sounds like a projectile question, where the object is traveling at some constant horizontal velocity, whilst it is falling, and \theta is the angle between the objects motion and the horizontal plane.

Generally a is the acceleration due to the resultant force, this may or may not be due to gravity.
 
Last edited:
hawk 1sr said:
I know that normal force usually equals mg on a flat surface. but how do i find Fn on a slanted surface? And also, how do i make superscripts and subscripts with alt codes (windows 7)?

Also, is ma=mg
ma = mg only when the only force acting on the object is gravity--if it's in free fall. But an object sliding down a ramp is not in free fall--the ramp exerts a normal force on the object.

To find the normal force, analyze force components perpendicular to the ramp. You know the acceleration in that direction must be zero, so the net force perpendicular to the ramp must be zero.

i know that a=acceleration, and that's usually because of gravity. But in the book I'm reading (physics for dummies), it gives me a long example for finding vectors and comes to the conclusion that:

a=g sin \theta
The weight can be separated into two components: one component parallel to the ramp; another component perpendicular to the ramp. The normal force balances out the component of the weight perpendicular to the ramp, so all you're left with is the component of gravity down the ramp. That happens to give you a net force of mg sinθ, thus the acceleration is g sinθ.
 

Similar threads

  • · Replies 95 ·
4
Replies
95
Views
6K
Replies
21
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
17
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K