The guide with the vertical slot is given a horizontal oscillatory motion according to x = 5.1 sin 3.4t, where x is in inches and t is in seconds. The oscillation causes the pin P to move in the fixed parabolic slot whose shape is given by y = x2/8, with y also in inches. Plot the magnitude v of the velocity of the pin as a function of time during the interval required for pin P to go from the center to the extremity x = 5.1 in. Find and locate the maximum value of v and verify your results analytically.

The guide with the vertical slot is given a horizontal oscillatory motion according to x = 5.1 sin 3.4t, where x is in inches and t is in seconds. The oscillation causes the pin P to move in the fixed parabolic slot whose shape is given by y = x2/8, with y also in inches. Plot the magnitude v of the velocity of the pin as a function of time during the interval required for pin P to go from the center to the extremity x = 5.1 in. Find and locate the maximum value of v and verify your results analytically.

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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Work and Heat Transfer

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Lesson: RECTANGULAR COORDINATE

Direction: Do not cut the decimal places while solving and in final answer.

The guide with the vertical slot is given a
horizontal oscillatory motion according to x =
5.1 sin 3.4t, where x is in inches and t is in
seconds. The oscillation causes the pin P to
move in the fixed parabolic slot whose shape is
given by y = x2/8, with y also in inches. Plot the
magnitude v of the velocity of the pin as a
function of time during the interval required
for pin P to go from the center to the extremity
x = 5.1 in. Find and locate the maximum value
of v and verify your results analytically.
a
Answer: Vmax=+
sec and x = 1
in./sec at t =
in.

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