Inclined Planes
Inclined planes are sloped surfaces used to raise or lower objects with less effort than lifting directly. The block on the incline experiences gravitational force, which is resolved into two components: one parallel to the incline (causing it to slide) and one perpendicular (contributing to the normal force).
The gravitational force acting on the block is:
Fgravity = m × g
This splits into:
- Parallel component:
Fparallel = m × g × sin(θ)
- Perpendicular component:
Fperpendicular = m × g × cos(θ)
The normal force is equal in magnitude to the perpendicular component when there's no vertical acceleration.
If friction is enabled, it resists motion:
Ffriction = μ × Fnormal = μ × m × g × cos(θ)
The net force is:
Fnet = Fparallel - Ffriction
Using Newton’s Second Law:
a = Fnet / m
This simulator uses those equations to calculate the block's acceleration and velocity in real-time based on mass, angle, and friction.
Try This: Set angle to 0° to see no motion. Increase the angle gradually to see how it affects acceleration. Toggle friction off to simulate an ideal smooth incline.