In this calculus proble, a machine design has endpoints of a moveable rod of length 1 meter have coordinates (x,0) and (0,y). The position of the end on the x-axis has a formula given at t is the time in seconds. the formula and this 3 part question is listed ona a separate attachment.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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In this calculus proble, a machine design has endpoints of a moveable rod of length 1 meter have coordinates (x,0) and (0,y). The position of the end on the x-axis has a formula given at t is the time in seconds. 

the formula and this 3 part question is listed ona a separate attachment.

 

(0, y)
1 m
37
(x, 0)
Figure for 31
31. Machine Design The endpoints of a movable rod of
length 1 meter have coordinates (x, 0) and (0, y) (see figure).
The position of the end on the x-axis is
1
sin
6.
x(1)
%3D
where t is the time in seconds.
(a) Find the time of one complete cycle of the rod.
(b) What is the lowest point reached by the end of the rod on
the y-axis?
(c) Find the speed of the y-axis endpoint when the x-axis
endpoint is (, 0).
Transcribed Image Text:(0, y) 1 m 37 (x, 0) Figure for 31 31. Machine Design The endpoints of a movable rod of length 1 meter have coordinates (x, 0) and (0, y) (see figure). The position of the end on the x-axis is 1 sin 6. x(1) %3D where t is the time in seconds. (a) Find the time of one complete cycle of the rod. (b) What is the lowest point reached by the end of the rod on the y-axis? (c) Find the speed of the y-axis endpoint when the x-axis endpoint is (, 0).
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