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

The Correct Option is B

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)