Question

A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point P when wheel completes half of rotation (If radius of wheel is 1m) :

• A. 2m
• B. $\sqrt{\pi^2+4}$ m
• C. $\pi$ m
• D. $\sqrt{π^2+2}$ m

Answer 1

Answer: (B)

$\sqrt{\pi^2+4}$ m

Answer 2

The correct option is (B) : $\sqrt{\pi^2+4}$ m

displacement PQ = $\sqrt{PM^2}$+(QM)2=$\sqrt {\pi R^2 +(2R)^2}$ =$\sqrt{\pi^2+4}$ (∵ R = 1m)