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 inseconds. 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. Plotthe 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 theextremity x = 5.1 in. Find and locate the maximum value of v and verify your results analytically.VAnswer: VmaxiMI!in.in./sec at t = iINsec and x =

X = 5.1 inX = 5.1 Sin (3.4t)y = x²/8

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. P 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. V₂ Answer: Vmax i Mi WHE in. in./sec at t = i sec and x =

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. P 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. V₂ Answer: Vmax i Mi WHE in. in./sec at t = i sec and x =

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

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.
V
Answer: Vmax
i
MI
!in.
in./sec at t = i
IN
sec and x =

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