For problems from the Text - Principles of Dynamics - D. Greenwood, the numbers are indicated in bold. s are Q1. A particle follows a planar path defined by x=(A/kC)sin(k5). y = (A/k5)cos(kC), such that its speed is v = B5, where A, k and B are constants. Determine the velocity and acceleration at 5 =4x/3k.

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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For problems from the Text – Principles of Dynamics – D. Greenwood, the numbers are
indicated in bold.
Q1. A particle follows a planar path defined by x=(A/kC)sin(kç), y = (A/kC)cos(kG),
such that its speed is v = B5 , where A, k and B are constants. Determine the velocity
and acceleration at 5 = 47/3k.
Transcribed Image Text:For problems from the Text – Principles of Dynamics – D. Greenwood, the numbers are indicated in bold. Q1. A particle follows a planar path defined by x=(A/kC)sin(kç), y = (A/kC)cos(kG), such that its speed is v = B5 , where A, k and B are constants. Determine the velocity and acceleration at 5 = 47/3k.
Expert Solution
Step 1

r(ζ)=xi^+yj^r(ζ)=(A/ζ)sin(κζ)i^+(A/ζ)cos(κζ)j^taking derivative of r(ζ)v(ζ)=dr(ζ)dζ=(kA/ζ)cos(κζ)i^-(kA/ζ)sin(κζ)j^at ζ=4π/3kv(ζ)=k2A4π/3cos(4π/3)-k2A4π/3cos(4π/3)=-k2A4π/30.5i^+0.866j^ m/s2

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