The y-coordinate of a particle in curvilinear motionis given by y = 43 – 3t, where y is in inches and t isin seconds. Also, the particle has an acceleration inthe x-direction given by a̟ = 12t in. /sec². If the ve-locity of the particle in the x-direction is 4 in./secwhen t = 0, calculate the magnitudes of the velocityv and acceleration a of the particle when t = 1 sec.

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Answered: The y-coordinate of a particle in…

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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The x-coordinate of a particle in curvilinear motion is given by x = 4.1t3 - 3.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.4t. If the particle has y-components y = 0 and vy = 2.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.5 sec. Sketch the path for the first 3.5 seconds of motion, and show the velocity and acceleration vectors for t = 3.5 sec. determine: a. v in ft / sec b. a in ft / sec2
The x-coordinate of a particle in curvilinear motion is given by x = 4.1t3 - 3.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.4t. If the particle has y-components y = 0 and vy = 2.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.5 sec. Sketch the path for the first 3.5 seconds of motion, and show the velocity and acceleration vectors for t = 3.5 sec. a. determine v in ft / sec b. determine a in ft / sec2
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Q1. If the speed of the motorcycle is v = V600 – 0.5s? where s is in meters measured from A, determine its tangential velocity, tangential acceleration and normal acceleration when it reaches B. Clearly draw free body diagram and mention velocity and acceleration vectors along with their magnitudes and angles with positive t-axis. Where r=60m and is 30 degrees.
The x-coordinate of a particle in curvilinear motion is given by x = 3.7t3 - 4.5t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.7t. If the particle has y-components y = 0 and vy = 3.4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 5.9 sec. Sketch the path for the first 5.9 seconds of motion, and show the velocity and acceleration vectors for t = 5.9 sec.Answers:
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If a particle moves along a path such that r= (2 cos t) ft and θ= (t/2) rad, where t is in seconds, plot the path r =f(θ) and determine the particle's radial and transverse components of velocity and acceleration.
Q1.If the speed of the motorcycle is v=√(600-0.5s2) where s is in meters measured from A, determine its tangential velocity, tangential acceleration and normal acceleration when it reaches B. Clearly draw free body diagram and mention velocity and acceleration vectors along with their magnitudes and angles with positive t-axis. Where r = 60m and Ɵ is 30 degrees.
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