Question

Determine the value of the q, parallel to the z axis. That is the point of intersection of the projections of the points A, B and C parallel to the xy plane. With the distance between the tri-section point and the points A, B and C be equal to 0.6m.

(a) 51.9cm

(b) 51.9mm

(c) 51.9m

(d) 5.19mm

This question was posed to me by my school teacher while I was bunking the class.

This intriguing question originated from Equilibrium in Three Dimensions in division Equilibrium of a Rigid Body of Engineering Mechanics

Answer 1

Right option is (a) 51.9cm

To elaborate: The application of the equilibrium equation will yield the result. That is the resultant along the z-axis will remain zero. Which give the value of γ as 50˚. And therefore q=51.9cm.