A rope from winch W, at the top of a six-metre-tall wall OW, is attached to point P at the end of a four-metre-long pole OP.The winch is winding the rope in at a rate of 15 cm/s so that the pole is rotating about O from a horizontal to a vertical position.Let s be the leneth of the rope PW. and let x be the horizontal distance and y be the vertical distance of P relative to U.Show that s4 = 52 - 12y and hence determine the rate at which x is decreasing at the instant thaty is increasing at a rate of 10 cm/s Question 6A rope from winch W, at the top of asix-metre-tall wall OW, is attached topoint P at the end of a four-metre-long pole OP.The winch is winding the rope in at a rate of 15 cm/sso that the pole is rotating about O from a horizontalto a vertical position.Let's be the length of the rope PW, and let x be thehorizontal distance and y be the vertical distanceof P relative to 0.winchW6O4P(x, y)Show that s² = 52 - 12y and hence determine the rate at which x is decreasing at the instant thaty is increasing at a rate of 10 cm/s.

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Answered: Question 6 A rope from winch W, at the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A rope from winch W, at the top of a six-metre-tall wall OW, is attached to point P at the end of a four-metre-long pole OP.
The winch is winding the rope in at a rate of 15 cm/s so that the pole is rotating about O from a horizontal to a vertical position.

Let s be the leneth of the rope PW. and let x be the horizontal distance and y be the vertical distance of P relative to U.

Show that s4 = 52 - 12y and hence determine the rate at which x is decreasing at the instant that

y is increasing at a rate of 10 cm/s