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 cuimilte between car and road.
réiteach
N = gnáthfhórsa
N sin θ = horizontal component of the normal force
N cos θ = vertical component of the normal force
w = m g = the meáchan den charr
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 luasghéarú lárphointeach. N sin θ = fórsa láraimsitheach.
Apply Newton’s law of motion in the vertical direction :
Apply Newton’s law of motion in the horizontal direction :
Ionadaighting N in equation 1 into N in equation 2 :
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- Mais agus meáchan
- neart gnáth
- Dara dlí Newton um ghluaisne
- Fórsa cuimilte
- Gluaiseacht ar dhromchla cothrománach gan fórsa frithchuimilte
- Gluaiseacht dhá chorp leis an luasghéarú céanna ar dhromchla garbh cothrománach leis an bhfórsa frithchuimilte
- Gluaiseacht ar an bplána claonta gan fórsa frithchuimilte
- Gluaiseacht ar an bplána garbh claonta leis an bhfórsa frithchuimilte
- Gluaiseacht in ardaitheoir
- Tá gluaiseacht na gcorp ceangailte le cordaí agus ulóga
- Dhá chorp leis an méid céanna luasghéaraithe
- Ag babhtú cuar cothrom – dinimic ghluaisne ciorclaí
- Cuar claonta a bhabhtú – dinimic ghluaisne ciorclaí
- Gluaiseacht aonfhoirmeach i gciorcal cothrománach
- Fórsa lárphointeach i ngluaiseacht chiorclach aonfhoirmeach
