Chord of Curvature, Math, Marketing Management

Definition: If C be the circle of curvature at any point P on a curve, then a chord of C through P in a given direction is called the chord of curvature in that direction.

The Lengths of Chords of Curvature

Case I: Let y = ƒ(x) be any cartesian curve. Draw the circle of curvature at any point P on the curve. Let the tangent at P make and angle ? with the x-axis. Let PQ and PS be the chords of curvature parallel to x-axis and y-axis respectively. Complete the rectangle PQRS. We have PR = 2?. Now,

PQ = 2? cos (90 - ?) = 2? sin ?,

And PS = 2? cos ?.

Hence

The chord of curvature parallel to the x-axis = 2? sin ?,

The chord of curvature parallel to the y-axis = 2? cos ?.
Posted Date: 1/31/2012 10:55:35 PM | Location : United States







Related Discussions:- Chord of Curvature, Math, Assignment Help, Ask Question on Chord of Curvature, Math, Get Answer, Expert's Help, Chord of Curvature, Math Discussions

Write discussion on Chord of Curvature, Math
Your posts are moderated
Related Questions
how to create a 8*15 matrix by a5*6 and a 2*45 matrices in matlab

There are many ways to explain the market structure of the automotive industry.: One of heterogeneous purchasers makes up the population and nearly homogeneous sellers. This mea

technolgoy can change the following three factors? a. politics b. lifestyle c. production process d. buying patterns

Product policies: Product policies are the general rules set up by the management itself in the marketing product decisions. Products of a firm are the backbone with which p

Difference between Selling and Marketing The term selling refers to an activity in any business enterprises. It is concerned with the transfer of the title of the goods and pro

Explain why 'Supply' has been described as being more significant than 'Purchasing' for an organisation.  Purchasing Purchasing deals with the day-to-day buying of goods.

Marketing mix of Dettol Handwash

Define the Strategies for Product Positioning. Product positioning is attained through a variety of marketing strategies and programs within product design, distribution and pr

what is the importance of branding policies in an organisation

Should video game companies continue to alter their products to include other functions, such as e-mail