P is the point of contact of a wheel and the ground. The radius of wheel is 1m. The wheel rolls on the ground without slipping. The displacement of point P when wheel completes half rotation is :-
A
2 m
B
C
π m
D
Text Solution
Verified by ExpertsThe correct answer is:
B
When the wheel rolls on the ground without slipping and completes half rotation, point P takes new position as P' as shown in figure. Horizontal displacement, x = π R
Vertical displacement, y= 2R
Thus, displacement of the point P when wheel completes half rotation,
s = 
= 
= 
but R = 1m (given)
∴ s 
= 
m
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