Question

Derive the equation Motion of a car on a banked circular road
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Answer 1

N is normal force,

f is frictional force

Ncosθ=mg+fsinθ⟶(1)

f=μN⟶(3)

∴Ncosθ=μNsinθ+mg

N(cosθ−μsinθ)=mg

⇒μmgrcosθ+mgrsinθ=mv 2

cosθ−μmv ^2

sinθ

⇒μmgr+mgrtanθ=mv ^2

−μmv ^2

tanθ

⇒mgr(μ+tanθ)=mv ^2 (1−μtanθ)

Answer 2

Answer:

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