A point P is considered 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 1 m)
- 2 m
- 2+4 m
- m
- 2+2 m
Answer
(2) 2+4 m
Solution
In half a rotation without slipping, the centre moves forward by half the circumference, i.e. R, and point P, initially at the bottom, comes to the top of the wheel.
So the horizontal displacement of P is R = m and its vertical displacement is 2R = 2 m.
Displacement = 2 + 22 = 2 + 4 m
Answer: (2)