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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 X(t) 1 cinnt)

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 X(t) 1 cinnt)

Elements Of Electromagnetics
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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PLEASE SOLVE BOTH. THANKS GUYS
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 x(t) = sin(t) where t is the time in seconds. (0, y) 1 m (x, y) = (x, 0) (a) Find the time of one complete cycle of the rod. sec (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 m/sec (1,0).
Transcribed Image Text: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 x(t) = sin(t) where t is the time in seconds. (0, y) 1 m (x, y) = (x, 0) (a) Find the time of one complete cycle of the rod. sec (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 m/sec (1,0).
Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 4 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 4 feet per second. Find the acceleration of the boat when there is a total of 5 feet of rope out. (Round your answer to three decimal places.) ft/sec² y ft Not drawn to scale
Transcribed Image Text:Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 4 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 4 feet per second. Find the acceleration of the boat when there is a total of 5 feet of rope out. (Round your answer to three decimal places.) ft/sec² y ft Not drawn to scale
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