Solving for g on an inclined plane

Click For Summary
SUMMARY

The discussion focuses on deriving the gravitational acceleration (g) in terms of distance (d), time (t), and the angle of inclination (theta) on an inclined plane. The solution utilizes the equations of motion, specifically Fnet=ma and d=Vit + 0.5a*t^2. The correct formula derived is g=2d/(sin theta*t^2), confirming that the initial velocity (Vi) is zero on the inclined plane.

PREREQUISITES
  • Understanding of Newton's second law (Fnet=ma)
  • Familiarity with kinematic equations for constant acceleration
  • Knowledge of trigonometric functions, specifically sine
  • Basic concepts of inclined plane physics
NEXT STEPS
  • Study the derivation of kinematic equations in physics
  • Learn about the applications of trigonometry in physics problems
  • Explore advanced topics in dynamics related to inclined planes
  • Investigate the effects of friction on inclined plane motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators seeking clear examples of gravitational calculations in motion.

mysticbms
Messages
8
Reaction score
0

Homework Statement


Solve for g in terms of d, t, and theta on an inclined plane.



Homework Equations


Fnet=ma and d=Vit + .5a*t^2


The Attempt at a Solution


Solving for a on an inclined plane I get g*sin theta.

Using the equation for constant acceleration d=Vit + .5a*t^2 I solve for g.

Vi is 0 on an initial plane so I have d=.5(g*sin theta)t^2

g=2d/(sin theta*t^2)

Is this correct?
 
Physics news on Phys.org
mysticbms said:

Homework Statement


Solve for g in terms of d, t, and theta on an inclined plane.



Homework Equations


Fnet=ma and d=Vit + .5a*t^2


The Attempt at a Solution


Solving for a on an inclined plane I get g*sin theta.

Using the equation for constant acceleration d=Vit + .5a*t^2 I solve for g.

Vi is 0 on an initial plane so I have d=.5(g*sin theta)t^2

g=2d/(sin theta*t^2)

Is this correct?

Yes, correct.

ehild
 

Similar threads

Replies
46
Views
7K
  • · Replies 18 ·
Replies
18
Views
6K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
2
Views
843
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 68 ·
3
Replies
68
Views
14K
  • · Replies 4 ·
Replies
4
Views
1K