
Concept explainers
For the conic helix of Prob. 11.95, determine the angle that the osculating plane forms with the y axis.
(a)

The angle
Answer to Problem 11.180P
The angle
Explanation of Solution
Given Information:
The three dimensional motion of a particle is defined by the position vector
Calculation:
Write three dimensional motion of particle position vector equation.
Write the expression for velocity using the relation:
Substitute
Here,
Write the expression for acceleration using the relation:
Substitute
Show the vector
Calculate the vector
Substitute
Calculate the
Calculate the
Calculate the angle
Substitute
Write the expression for angle
Substitute
Substitute
Show the representation of equation (4) as in Figure (2):
Calculate the angle
Therefore, the angle
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Chapter 11 Solutions
Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
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