Dynamics L8 Worked example 4 (ENGR5004) - Revisica

Dynamics L8 Worked example 4TutorialOld spec ENGR216Third6 min

ENGR216 Dynamics L8 worked example 4 (slides 16-17) official answers

A tilting vehicle travels at a constant speed of 80 km/h around a horizontal circular track of radius 100 m. What tilt angle $\theta$ of the vehicle (and seat) from the vertical will make the driver experience only a normal reaction from the seat (no sideways friction)? Neglect the size of the car; take $g = 9.81$ m/s $^2$ .

Front view of a tilting three-wheeled vehicle; the body and driver lean by theta from the vertical towards the inside of the turn.

Formulas you may need

n-t equations of motion: $\sum F_n = m\dfrac{v^2}{\rho}$ , $\sum F_b = 0$ (learn this)

a_n =m/s^2

theta =deg

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