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 Reiwung between car and road.
Léisung
N = dir normal Kraaft
N sin θ = horizontal component of the normal force
N cos θ = vertical component of the normal force
w = m g = the Gewiicht vum Auto
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 Zentripetalbeschleunigung. N sin θ = centripetal Kraaft.
Apply Newton’s law of motion in the vertical direction :
Apply Newton’s law of motion in the horizontal direction :
Substitutting N in equation 1 into N in equation 2 :
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- Mass a Gewiicht
- normal Kraaft
- Dem Newton seng zweet Bewegungsgesetz
- Reiwung Kraaft
- Bewegung op der horizontaler Uewerfläch ouni Reibungskraaft
- D'Bewegung vun zwéi Kierper mat der selwechter Beschleunigung op enger rauer horizontaler Uewerfläch mat der Reibungskraaft
- Bewegung op der geneigter Ebene ouni Reibungskraaft
- Bewegung op der grober geneigter Ebene mat der Reibungskraaft
- Bewegung an engem Lift
- D'Bewegung vu Kierper ass duerch Schnouer a Riemscheiwen verbonnen
- Zwee Kierper mat der selwechter Beschleunigungsgréisst
- Eng flaach Kurv ofronden – Dynamik vun der kreesfërmeger Bewegung
- D'Ofronnung vun enger gebéiter Kurve – Dynamik vun der Kreeslafbewegung
- Uniform Bewegung an engem horizontalen Krees
- Zentripetalkraaft an enger gläichméisseger Kreeslafbewegung
