The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.75t+2.25t² -0.55t³ and y = 5.77 + 18.72t - 3.45t2, where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 7 s. Also, determine the first time that the velocity of the particle makes an angle of 31° with the Dositive x-axis. Answers: V= a = t= i i+ i+ MI j) mm/s j) mm/s²

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.75t+2.25t² - 0.55t3 and y= 5.77 +
18.72t - 3.45t², where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and
acceleration a of the particle when t = 7 s. Also, determine the first time that the velocity of the particle makes an angle of 31° with the
positive x-axis.
Answers:
V = (i
a =
t =
i
i+i
i+
S
i
j) mm/s
j) mm/s²
Transcribed Image Text:The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.75t+2.25t² - 0.55t3 and y= 5.77 + 18.72t - 3.45t², where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 7 s. Also, determine the first time that the velocity of the particle makes an angle of 31° with the positive x-axis. Answers: V = (i a = t = i i+i i+ S i j) mm/s j) mm/s²
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