Answered: cam-follower mechanism (Fig ar velocity…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Transcribed Image Text:Question J (a) In the cam-follower mechanism (Figure Q1a), the slotted bar rotates with a constant angular velocity @ = 12 rad/s, and the radial position of the follower A is determined by the profile of the stationary cam. The slotted bar is pinned a distance h = 0.2 m to the left of the centre of the circular cam. The follower moves in a circular path of R = 0.42m radius and is given by the equation in terms of angle as r² - 2hr cos 0+ (h² - R²) = 0. Determine the velocity of the follower when A= 40° in terms of polar coordinates. CHILLED Figure Ola

Expert Solution

Step 1: Write the given data with suitable variables-

$omega equals 12 space rad divided by straight s h equals 0.2 space m R equals 0.42 space m R squared equals r squared minus 2 h r cos theta plus open parentheses h squared close parentheses$

Differentiated the radial expression and obtained the expression for the radial velocity.

$table row 0 equals cell 2 r r with. on top minus 2 h r with. on top cos theta plus 2 h r theta with. on top sin theta end cell row cell r with. on top end cell equals cell fraction numerator h r theta with. on top sin theta over denominator h cos theta minus r end fraction end cell end table$

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