Question

Let x be the track width of the vehicle, then which of the following expression is correct for vertical reaction Q at the two outer or inner wheels?

(a) Q = (Mv^2. h)/ (R.x)

(b) Q = (Mv^2)/ R

(c) Q = Mv^2. x/ (R.h)

(d) Q = (Mv^2)/ (x)

The question was posed to me in an online interview.

I'm obligated to ask this question of Stability of a Four Wheel drive Moving in a Curved Path in division Gyroscopic Couple and Precessional Motion of Machine Dynamics

Answer 1

The correct option is (a) Q = (Mv^2. h)/ (R.x)

The explanation is: Centrifugal force is given by : Fc = (Mv^2)/R and the overturning couple is the cross product of h and Fc, and Q=Co/x. Therefore Q = (Mv^2.h)/ (R .x)