Solveeit Logo
Login

Question

Question: A point P on the rim of wheel is initially at rest and in contact with the ground. Find the displace...

A point P on the rim of wheel is initially at rest and in contact with the ground. Find the displacement of the point P if the radius of the wheel is 5 m and the wheel rolls forward through half a revolution:

A

5 m

B

10 m

C

2.5 m

D

5((π2+4))m5(\sqrt{(\pi^{2} + 4)})m

Answer

5((π2+4))m5(\sqrt{(\pi^{2} + 4)})m

Explanation

Solution

Displacement of point P after half revolution

PP′=(πR)2+(2R)2=Rπ2+4=5π2+4PP' = \sqrt{(\pi R)^{2} + (2R)^{2}} = R\sqrt{\pi^{2} + 4} = 5\sqrt{\pi^{2} + 4}