Question

Derive an expression for maximum speed of circular motion of a car on a level road.​

Answer 1

Answer:

A uniform rod of mass m and length L is fitted at each end with a frictionless bearing in the form of a freely rotating wheel, for which the rod acts as an axle. the two bearings are identical and have negligible masses compared to that of the rod. If it is initially placed, with an angular velocity of ω

0

and zero center of mass velocity, across the slope of a broad rough plane that is inclined at an angle of θ to the horizontal.

Answer 2

Answer:

N=mg

Static friction provides the centripetal acceleration

fs =< μsN

mv2/r =< μsN

v2 =< μsNR/m = μsmgR/m = μsRg

V =< √ μsRg

This is the maximum speed of a car in circular motion on a level road