1. A car rounding a banked curve. What is an angle for the road which has a curve of radius 60 meters with a design speed of 20 m/ s? Assume there is no wrywing between car and road.
Oplossing
N= normale krag
N sin θ = horizontal component of the normal force
N cos θ = vertical component of the normal force
w = m g = the gewig van die motor
The road is designed to be banked to eliminate dependence on friction.
The net horizontal force, the horizontal component of the normal force (N sin θ), required to keep the car moving in a circle around the curve.
We choose x-axis as horizontal and y-axis as vertical, so that centripetal acceleration, aR, is along the horizontal direction. In the horizontal direction, the only force is the horizontal component of the normal force (N sin θ), needed to produce the sentripetale versnelling. N sin θ = sentripetale krag.
Apply Newton’s law of motion in the vertical direction :
Apply Newton’s law of motion in the horizontal direction :
Vervangerting N in equation 1 into N in equation 2 :
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- Massa en gewig
- Normale krag
- Newton se tweede bewegingswet
- Wrywingskrag
- Beweging op die horisontale oppervlak sonder wrywingskrag
- Die beweging van twee liggame met dieselfde versnelling op die ruwe horisontale oppervlak met die wrywingskrag
- Beweging op die skuinsvlak sonder wrywingskrag
- Beweging op die growwe skuinsvlak met die wrywingskrag
- Beweging in 'n hysbak
- Die beweging van liggame word deur koorde en katrolle verbind
- Twee liggame met dieselfde versnellinggrootte
- Afronding van 'n plat kurwe – dinamika van sirkelbeweging
- Afronding van 'n gehellde kurwe – dinamika van sirkelbeweging
- Uniforme beweging in 'n horisontale sirkel
- Sentripetale krag in uniforme sirkelbeweging
