Quick Question Regarding Smooth Inclined Plan

Click For Summary
SUMMARY

The discussion focuses on calculating the acceleration of a 6 kg block sliding down a 45° inclined plane. The correct approach involves using the equation F=ma, where the force acting on the block is the component of its weight parallel to the incline, specifically mg sin(θ). The normal force, which is equal to mg cos(θ), acts perpendicular to the incline and does not contribute to the acceleration. Thus, the acceleration can be determined solely from the parallel component of the gravitational force.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with inclined plane dynamics
  • Basic concepts of forces and motion
NEXT STEPS
  • Study the derivation of acceleration on inclined planes using F=ma
  • Learn about the effects of friction on inclined plane motion
  • Explore the concept of normal force in different scenarios
  • Investigate real-world applications of inclined plane physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for clear explanations of force dynamics.

FaraDazed
Messages
347
Reaction score
2

Homework Statement


an block of mass 6kg is sliding down an inclined plane inclined at 45° to the horizontal. Find the acceleration of the mass.


Homework Equations


F=ma


The Attempt at a Solution


Is it correct that the weight times sin45 will equal ma, because that's how i first did it but now I am going through the problem again before handing it in and drew the sketch again and I was thinking what about the weight times cos45? wouldn't that AND wsin45 cause acceleration?
 
Physics news on Phys.org
Only the component of the weight parallel to the incline (mg sinθ) acts to accelerate the block. Perpendicular to the incline, the normal force acts to cancel the component of the weight (mg cosθ).
 
Doc Al said:
Only the component of the weight parallel to the incline (mg sinθ) acts to accelerate the block. Perpendicular to the incline, the normal force acts to cancel the component of the weight (mg cosθ).

Thanks :)
 

Similar threads

Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 11 ·
Replies
11
Views
3K
Replies
8
Views
2K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K