# Engineering Drawing Questions and Answers – Cycloidal Curves, Loci of Points

This set of Engineering Drawing Multiple Choice Questions & Answers (MCQs) focuses on “Cycloidal Curves, Loci of Points”.

1. When a circle rolls inside another circle, the curve traced by the point on the rolling circle is known as ___________
a) Circle
b) Hypocycloid
c) Epicycloid
d) Involute

Explanation: An epicycloid is a plane curve generated by a point on the circumference of a circle when the circle rolls without the slipping on the circumference of another circle.

2. The other name for directing circle is __________
a) Base circle
b) Generating circle
c) Rolling circle
d) Circumference of circle

Explanation: When the circle rolls on another circle, the latter is known as the directing circle or base circle.

3. Which circle rolls on the baseline?
a) Directing circle
b) Base circle
c) Rolling circle
d) Circumference of circle

Explanation: The rolling circle is known as generating circle, and the straight line on which it rolls is known as the directing or baseline.

4. The plane curve generated by a point on the circumference of a circle, when it rolls on a fixed straight line without slipping is __________
a) Cycloid
b) Involute
c) Conic
d) Ellipse

Explanation: When a circle rolls on a straight line, the instantaneous positions of the point of intersection are obtained by periodically moving the center of the circle to different positions parallel to the line, while maintaining the same height of the division’s point.

5. How the angle ᴓ θ is obtained of epicycloid and hypocycloid?
a) (r/R) x 3600
b) (R/r) x 3600
c) (r/R) x 1800
d) (R/r) x 1800

Explanation: When r and R are the radii of the rolling and the generating circle, respectively, the hypocycloid is a plane curve generated by a point on the circumference of a circle, when it rolls without slipping on another circle and inside it. The epicycloid is a plane curve generated by a point on the circumference of a circle when it rolls without slipping on the circumference of another circle.
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6. The locus of a point maintaining a constant distance from a fixed point is known as:
a) An ellipse
b) A circle
c) A parabola
d) A straight line

Explanation: Where the fixed point of a circle is center and distance between centers to the edge of the circle is constant and that is called radius.

7. The path traced by the instantaneous positions of any point in a moving member is known as__________
a) Ellipse
b) Parabola
c) Hyperbola
d) Locus of points

Explanation: Locus of points is very important to ensure the proper function of the member in any machine or in any applications.

8. The locus of a point moving between a fixed point and a fixed straight line at constant ratio is __________
a) a conic
b) an involute
c) a cycloid
d) a polygon

Explanation: The conic sections or the conics, as they are simply called, are the curves obtained by intersecting or cutting a right circular cone with a section, or by cutting a plane located in a different orientation.

9. The curve traced by the locus of a point moving in a plane such that the ratio of its distance from the fixed point and a fixed straight line is equal to one is known as __________
a) Ellipse
b) Parabola
c) Circle
d) Hyperbola

Explanation: When the cutting plane is inclined to the base and the axis becomes parallel to one of the end generators, thereby cutting a few generators of the cone as indicated by c-c, the conic section obtained is known as a parabola.

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