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When rolling circle is rolling outside directing circle the curve obtained will be?

Author

James Craig

Updated on February 18, 2026

When rolling circle is rolling outside directing circle the curve obtained will be?

Explanation: Trochoid is curve generated by a point fixed to a circle, within or outside its circumference, as the circle rolls along a straight line. Inferior or superior depends on whether the generating point in within or outside the generating circle. If directing path is straight line then the curve is cycloid. 1.

Simply so, what is a curve generated by a point on the circumference of a circle which rolls without slipping along another circle outside it?

2. ___________ is a curve generated by a point on the circumference of a circle, which rolls without slipping along another circle outside it. Explanation: Cycloid is a curve generated by a point on the circumference of a circle which rolls along a straight line.

Beside above, what is Epicycloid and Hypocycloid? An epicycloid is a plane curve created by tracing a chosen point on the edge of a circle of radius r rolling on the outside of a circle of radius R. A hypocycloid is obtained similarly except that the circle of radius r rolls on the inside of the circle of radius R. If k is an integer, the curve has k cusps.

Secondly, when the diameter of the directing circle is twice the diameter of the rolling circle Hypocycloid obtained is?

Take dia. of circle = 80 mm. Prove graphically that hypocycloid is a straight line , if the diameter of directing circle is twice the diameter of rolling circle.

What is cycloid curve?

Cycloid, the curve generated by a point on the circumference of a circle that rolls along a straight line. If r is the radius of the circle and θ (theta) is the angular displacement of the circle, then the polar equations of the curve are x = r(θ - sin θ) and y = r(1 - cos θ). Cycloid. Quick Facts.

Which one is the reduce scale?

Explanation: The representative fraction 1:3 indicates that the dimension of the drawing is one-third of the actual object. Since the drawing is smaller than the actual object, this type of scale is called a reducing scale.

When a circle rolls along a plane without slipping then curved obtain is?

If the circle rolls along a line without slipping, then the path traced out by P is called a cycloid. The diagram illustrates part of a cycloid generated by rolling the circle through one revolution. We can obtain simple parametric equations to describe a cycloid by setting up coordinate axes as follows.

What is the slope of inclined letters with the horizontal?

75 degree

How do you draw a cycloid curve?

Draw a vertical line through the centre of the circle. Draw a line from the top of the circle to the point and you will have the Tangent. Draw a line from the bottom of the circle to the point and you will have the Normal. You can find the Centre of Curvature to any point on the Cycloid by using this method.

How many battens will be there for a drawing board?

Explanation: Generally drawing board has dimensions of 1000 x 1500, 700 x 1000, 500 x 700, 350 mm x 500 mm, and made of well-seasoned soft wood, so there would be no bending while life increases. And also if a size of drawing board increases widely then the board will be fabricated with another 1 or 2 battens.

Which type of line is used to join the Dimension line and the curve that needs to be dimensioned?

Leader lines

Which of the following constructions use hyperbolic curves?

Which of the following constructions use hyperbolic curves? Explanation: Cooling towers, water channels use Hyperbolic curves as their design. Arches, Bridges, sound reflectors, light reflectors etc use parabolic curves. Arches, bridges, dams, monuments, man-holes, glands and stuffing boxes etc use elliptical curves.

When a circle rolls inside the another circle of twice its diameter the curve traced out by a point on the circumference of the rolling circle will be?

Last time we rolled a circle on another circle the same size, and looked at the curve traced out by a point on the rolling circle: It's called a cardioid.

What is Hypocycloid in engineering drawing?

A hypocycloid is defined as the locus of a point on the circumference of a circle which rolls without slip around the inside of another circle.

What is hyperbola in engineering drawing?

A Hyperbola is obtained when a section plane, parallel/inclined to the axis cuts the cone on one side of the axis. from two fixed points called foci, in the plane have a constant difference. Page 14. Constructing a Hyperbola. Draw the axis of symmetry and construct a perpendicular through the axis.

When the distance of the focus from the Directrix is 60mm for hyperbola its eccentricity is?

Draw a hyperbola whose distance of focus from directrix is 60 mm. The eccentricity is 3/2. Also draw a tangent and normal at any point P on the curve.

Which of the following has an eccentricity less than one?

…is a constant, called the eccentricity of the curve. If the eccentricity is zero, the curve is a circle; if equal to one, a parabola; if less than one, an ellipse; and if greater than one, a hyperbola.

What is involute of a circle?

The involute of a circle is the path traced out by a point on a straight line that rolls around a circle.

What is the use of cycloid?

An epitrochoidal cam constrained to perform a wobble motion, used in conjunction with a stationary mangle gear, constitutes a highly efficient, compact speed reducer. Other examples of the application of cycloidal motion are function generators, indexing devices, pumps, straight-line linkages, etc.

What is Epicycloid in technical drawing?

An epicycloid is defined as the locus of a point on the circumference of a circle which rolls without slip around the outside of another circle. 1 Draw the curved surface and the rolling circle, and divide the circle into a convenient number of parts (say 6) and number them as shown.

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When rolling circle is rolling outside directing circle the curve obtained will be?