The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.53t -0.036t2, where is in radians and t is in seconds. The slider is at r = 1.29 m when t = 0 and thereafter is drawn inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t = 3.1 s. Express your answers in the x-y coordinate system. Answers: At t = 3.1 s, v = ( i -0.12 i+ i 0.2816 j) m/s a = ( i -0.0864 i+ i -0.1397 j) m/s²

The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.53t -0.036t2, where is in radians and t is in seconds. The slider is at r = 1.29 m when t = 0 and thereafter is drawn inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t = 3.1 s. Express your answers in the x-y coordinate system. Answers: At t = 3.1 s, v = ( i -0.12 i+ i 0.2816 j) m/s a = ( i -0.0864 i+ i -0.1397 j) m/s²

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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Question

The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm
is given by 0 = 0.53t - 0.036t², where is in radians and t is in seconds. The slider is at r = 1.29 m when t = 0 and thereafter is drawn
inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t = 3.1 s. Express your answers
in the x-y coordinate system.
S
Answers: At t = 3.1 s,
v = (
i
-0.12
0.2816
j) m/s
a = (
i
-0.0864
-0.1397
j) m/s²
i+
i+ i

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The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.53t -0.036t2, where is in radians and t is in seconds. The slider is at r = 1.29 m when t = 0 and thereafter is drawn inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t = 3.1 s. Express your answers in the x-y coordinate system. Answers: At t = 3.1 s, V = ( i i+ i j) m/s a = ( i i+ i j) m/s²