Answer:
Given that,
An orange is rolled on the floor in a straight line from one person to another person
The orange has a radius of 4 cm and there is a fixed point P located on the orange.
To find the The orange has a radius of 4 cm and there is a fixed point P located on the
orange.
Explanation:
A cycloid is a curve that rolls along a particular line, leaving traces behind, which look like a few half circles with specific radii R.
Cycloid is an even linear and circular motion with a constant speed.
The parametric equation will bw,
[tex]\begin{gathered} x=r\left(θ−sinθ\right) \\ y=r\left(1−cosθ\right) \end{gathered}[/tex]where r – radius of the circle, θ – an angle at which the circle is moving.
Here, we get, r=4
Hence the required parametric equation is,
[tex]\begin{gathered} x=4\left(θ−sinθ\right) \\ y=4\left(1−cosθ\right) \end{gathered}[/tex]Answer is:
[tex]\begin{gathered} x=4\left(θ−sinθ\right) \\ y=4\left(1−cosθ\right) \end{gathered}[/tex]