{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

29. Cylindrical Coordinates

# 29. Cylindrical Coordinates - ME 270 Basic Mechanics I...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ME 270 - Basic Mechanics I - Group Quiz NamelGroup #: __________.__ Group Members: 1) __ 2) Date: ________ Period: _.___.__ 3) _._.__.___ 4) Given: The rotation of arm OA about point 0 is deﬁned by the relation 6 = 1tt2/8, where 6 is expressed in radians andt in seconds. Collar B slides along the arm in such a way that its distance from point 0 is given by r = 1 + 26 where r is expressed in meters and 6 in radians. Find: (a) Sketch the cylindrical and cartesian unit vectors on the ﬁgure. (b) Determine the angular velocity (6) and angular r- acceleration ( 6 ) of collar B when 6 = 90°. (c) Determine the radial velocity (i) and radial accelera- tion ('r') ofcollar B when 6 = 90°. ((1) Write expressions for the velocity and acceleration vectors of collar B. (e) Express the velocity and acceleration vectors in terms of canesian coordinates (i,j). S____olution: (b) 9': if: at ”=3" %=Zsecg ﬁﬁﬁﬁﬁ; I vgz 3.1+U;+6.5o'0’; a}: (r— ré‘yx +(ré+zré)Zl; #:E —E/)é)]u'2 +E+/)(f)+2 (:04 {7f (6);=+2f 5 Ear”? ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}