Question 6 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 length of the rope PW, and let x be the horizontal distance and y be the vertical distance of P relative to 0. winch W 6 0 P(x, y) Show that s² = 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.
Question 6 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 length of the rope PW, and let x be the horizontal distance and y be the vertical distance of P relative to 0. winch W 6 0 P(x, y) Show that s² = 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.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
Section: Chapter Questions
Problem 27A
Related questions
Question
100%
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
![Question 6
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 length of the rope PW, and let x be the
horizontal distance and y be the vertical distance
of P relative to 0.
winch
W
6
O
4
P(x, y)
Show that s² = 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5cc8382-e1bd-4552-9184-9e8ff249a985%2F38da1107-9eb9-424a-84a9-56cc2ec1714b%2Fo34cwi6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 6
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 length of the rope PW, and let x be the
horizontal distance and y be the vertical distance
of P relative to 0.
winch
W
6
O
4
P(x, y)
Show that s² = 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.
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