Answer:
Please see the attached Figure
Explanation:
The torque exerted on the disk support will be the multiplication of the force applied (the person weight=mg) and the distance d of the person to the disk support (notice this distance is in the radial direction). Considering torque To=F*d*sen(90°)=F*d (90° is formed by the weight and the radial direction).
The person begins walking to the circumferential direction, which means the constant velocity has also radial direction.
If we consider d=D+r, being r the distance walked by the person and dr its differential. We can say dr=v*dt, and if we consider t=0 the time the person begins walking and a constant velocity, we have r=v*t from t=0 to t=T.
[tex]To(t)= Fdsen(90)=Fd=mg(D+r)=mg(D+vt) if 0<t<T[/tex]
