Question

a point p is the contact point of wheel on ground which roll on ground without slipping the value of displacement of point p when wheel completes half rotation ( if radius is 1m)

Answer 1

a point $p$ is the contact point of wheel on ground which roll on ground without slipping the value of displacement of point $p$ when wheel completes half rotation (if radius is 1m)

**Solution:**

$R = 1\mathrm{m} - \mathrm{radius}$ of the wheel.

In one rotation of the wheel point $p$ moves a distance equal to the circumference of the wheel:

$$\mathrm{D}_{\text{rotation}} = 2\pi R$$

Hence, if the wheel completes half rotation, the value of the displacement of the point $p$ will be equal to the half of the total displacement of the point $p$:

$$\mathrm{D}_{\text{halfrotation}} = \frac{\mathrm{D}_{\text{rotation}}}{2} = \frac{2\pi R}{2} = \pi R = 3.14\mathrm{m}$$

**Answer:** slipping the value of displacement of point $p$ when wheel completes half rotation is 3.14m