The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.50t + 1.75t² - 0.55t³ and y = 5.99 + 14.37t-2.93t², 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 = 4 s. Also, determine the first time that the velocity of the particle makes an angle of 23° with the positive x-axis. Answers: v = (i 9.52 a= t= Mi 5.86 it i i+ i S A V 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 = 9.50t + 1.75t² - 0.55t³ and y = 5.99 +
14.37t-2.93t², 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 = 4 s. Also, determine the first time that the velocity of the particle makes an angle of 23° with the
positive x-axis.
Answers:
V =
a =
t=
( i 9.52
(i
i
5.86
i+
4
i+ i 4
S
j) mm/s
j) mm/s²
Transcribed Image Text:The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.50t + 1.75t² - 0.55t³ and y = 5.99 + 14.37t-2.93t², 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 = 4 s. Also, determine the first time that the velocity of the particle makes an angle of 23° with the positive x-axis. Answers: V = a = t= ( i 9.52 (i i 5.86 i+ 4 i+ i 4 S j) mm/s j) mm/s²
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