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If a circle rolls along a horizontal line without slippage, a fixed point P on the circle will trace out a curve called a(n) _______.

Short Answer

Expert verified

If a circle rolls along a horizontal line without slippage, a fixed point P on the circle will trace out a curve called a(n) cycloid.

Step by step solution

01

Step 1. Given information.

A circle is given along a horizontal line.

A fixed point P is given.

02

Step 2. Fill the gap.

When a circle rolls along a straight horizontal line without slippage, a fixed point P on the circle will trace a curve called cycloid.

A cycloid is defined as a curve resembling a series of arches traced by a point on a circle being rolled along a straight line.

When a point on the circumference of a circle is moving forward along a straight line. Then, a curve is formed and that curve is known as a cycloid.

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