KE PE Track Model

This KE PE Track Model features a user-friendly design that serves as an effective teaching aid.
It allows students to easily explore and experiment with cycloidal paths.
This visual representation helps students understand cycloidal motion and the relationship between the ball’s position and time.

Original price was: ₹1,000.Current price is: ₹750. (Exc. GST)

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Warranty 1 year

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Description

The KE PE Track Model explains the curve traced by a point on the circumference of a circle as it rolls along a straight line, known as a cycloid.

There are two common types of cycloids based on the direction of rolling:

Regular Cycloid: This occurs when the circle rolls along a straight line in one direction, and the tracing point is on the outside of the circle. The resulting path looks like a series of arches.
Hypocycloid: This occurs when the tracing point is inside the rolling circle, leading to a different pattern.

The equation of a cycloid for a circle of radius $rr$ rolling along the x-axis is given by:

$x(t)=r(t-sin(t))x(t) = r(t - sin(t))$ $y(t)=r(1-cos(t))y(t) = r(1 - cos(t))$

where $tt$ is a parameter representing time (or the angle the circle has rotated). This results in a series of arches that are characteristic of a cycloidal path.

Cycloidal paths are studied in various areas of physics and engineering, especially in designing smooth motion, such as in the catenary curves of bridges or the path of a rolling wheel.