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Home 1 Chegg com oa https://sessionmasteringengineering.com/mctiterview?assignmen: Appie a search * Most Visited @ Geeting Started Homework 2 Problem 12.182 5 of 7 The peg is constrained to move in the sliots of the fxed bar CO and rotating bar AB. When = 30°the angular velocity and angular acceleration of am AB are 8 2 rad/s and 8 3 rad/s, respectively (Figure 1) Part A Determine the magnitude of the velocity of the peg P at this instant Express your answer to three significant figures and include the appropriate units … Value Units ? Submit Figure 1 of 1 - Part B Determine She magnitude of the acceleration of the peg P at this instant Express your answer to three significant figures and include the appropriate units r_f4 secon Value Units Submit ReqvestAneer 4 n

Explanation / Answer

The rectilinear motion of peg A can be related to the angular motion of the slotted rod by relating y and using geomentry.

FromRightangle triangle

Tan = y/b

y = b Tan

on differentiating both the sides

dy/dx = b (sec2) d/dx -----------------------------1

where dy/dx = velocity V

d/dx = = 2 rad/sec

Velocity V = b sec2

V = 4 × 2 ×sec2 30

V = 10.67 ft/sec Part A Answer

Accelaration:

On Differentiating the equation1 again we will get

d2y/dx2 = b[2 sec (sec tan .2).+ sec2 .. ]

d2y/dx2 = b(2 sec2 tan .2 + sec2 ..)

d2y/dx2 = bsec2 (2tan .2 + ..)

d2y/dx2 = Accelaration = a

. = 2 rad/sec

.. = 3 rad/sec2

a = 4 sec2 30 (2tan 30×22 + 3)

a = 4 × 4/3 ( 2 × 0.57735 + 3)

A = 22.16 ft/sec2

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