Example 24: Figure 3.11(a) shows a rope running through a pulley at P and bearing a weight W at one end. The other end is held 5 ft above the ground in the hand M of a worker. Suppose the pulley is 25 ft above ground, the rope is 45 ft long, and the worker is walking rapidly away from the vertical line PW at the rate of 6 ft/sec. How fast is the weight being raised when the worker's hand is 21 ft away from PW ? 20 ft W W м 6 f/sec M 5ft X. (a) (b) Figure 3.11: A worker at M walks to the right pulling the weight W upwards as the rope moves through the pulley P (Example 24).

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Chapter2: Vectors
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Example 24: Figure 3.11(a) shows a rope running through a pulley at P and bearing a
weight W at one end. The other end is held 5 ft above the ground in the hand M of a
worker. Suppose the pulley is 25 ft above ground, the rope is 45 ft long, and the worker
is walking rapidly away from the vertical line PW at the rate of 6 ft/sec. How fast is the
weight being raised when the worker's hand is 21 ft away from PW ?
P
P'
20 ft
W
M 6 ft/sec
M
5ft
(a)
(b)
Figure 3.11: A worker at M walks to the right pulling the weight W upwards as the rope
moves through the pulley P (Example 24).
Transcribed Image Text:Example 24: Figure 3.11(a) shows a rope running through a pulley at P and bearing a weight W at one end. The other end is held 5 ft above the ground in the hand M of a worker. Suppose the pulley is 25 ft above ground, the rope is 45 ft long, and the worker is walking rapidly away from the vertical line PW at the rate of 6 ft/sec. How fast is the weight being raised when the worker's hand is 21 ft away from PW ? P P' 20 ft W M 6 ft/sec M 5ft (a) (b) Figure 3.11: A worker at M walks to the right pulling the weight W upwards as the rope moves through the pulley P (Example 24).
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