The rectangular coordinates of a particle which moves with a curvilinear motion are given by x = (10.24)t + (1.74)t2 - (0.44)t3 and y = (6.32+0.02) + (14.65+0.02)t - (2.48+0.02)t2, where x and y are in millimeters and the time 't' is in seconds, beginning from t = 0s. Determine the velocity 'v and acceleration 'a' of the particle when t = 5 s. Also, determine the times when the velocity of the particle makes an angle of 45° with the x-axis.
The rectangular coordinates of a particle which moves with a curvilinear motion are given by x = (10.24)t + (1.74)t2 - (0.44)t3 and y = (6.32+0.02) + (14.65+0.02)t - (2.48+0.02)t2, where x and y are in millimeters and the time 't' is in seconds, beginning from t = 0s. Determine the velocity 'v and acceleration 'a' of the particle when t = 5 s. Also, determine the times when the velocity of the particle makes an angle of 45° with the x-axis.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter8: Time And Time-related Variables In Engineering
Section: Chapter Questions
Problem 14P
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You must show all pertinent solutions and the illustration that supporting the answer. Please list the given and the formula that had been used. Box the answer. Please complete the prodecure and the solution and the figure.
Transcribed Image Text:The rectangular coordinates of a particle which moves with a curvilinear motion are given by x = (10.24)t
+ (1.74)t2 - (0.44)t3 and y = (6.32+0.02) + (14.65+0.02)t - (2.48+0.02)t2, where x and y are in millimeters
and the time 't' is in seconds, beginning from t = Os. Determine the velocity 'v and acceleration 'a' of the
particle when t = 5 s. Also, determine the times when the velocity of the particle makes an angle of 45°
with the x-axis.
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