The distance y = 2.3 m. Find the upward velocity of A if the downward velocity of B is 2.7 m/s. Neglect the diameters of the pulleys. 8 m A B

Elements Of Electromagnetics
7th Edition
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The distance y = 2.3 m. Find the upward velocity of A if the downward velocity of B is 2.7 m/s. Neglect the diameters of the pulleys.
8 m
A
B
Part 1
The motions of A and B are constrained because they are connected by a rope of constant length. The length of the rope
depends on the distances sĄ and y which change. Write an expression for the length Lof the rope in terms of the variable
distances SĄ and y and the fixed distance 8 m. If the distance SĄ = 2.3 m and y = 2.3 m, how long is the rope that connects moving
point A to fixed point C?
8 m
B
Answer: L = i
m
Transcribed Image Text:The distance y = 2.3 m. Find the upward velocity of A if the downward velocity of B is 2.7 m/s. Neglect the diameters of the pulleys. 8 m A B Part 1 The motions of A and B are constrained because they are connected by a rope of constant length. The length of the rope depends on the distances sĄ and y which change. Write an expression for the length Lof the rope in terms of the variable distances SĄ and y and the fixed distance 8 m. If the distance SĄ = 2.3 m and y = 2.3 m, how long is the rope that connects moving point A to fixed point C? 8 m B Answer: L = i m
Part 2
Use the expression that you derived for the length L of the rope (using variables for sĄ and y) to derive a relationship between
the velocities of A and B. If the downward velocity of B is 2.7 m/s when y = 2.3 m, what is the upward velocity of A (enter a
positive number)?
Answer: VA
i
m/s
Transcribed Image Text:Part 2 Use the expression that you derived for the length L of the rope (using variables for sĄ and y) to derive a relationship between the velocities of A and B. If the downward velocity of B is 2.7 m/s when y = 2.3 m, what is the upward velocity of A (enter a positive number)? Answer: VA i m/s
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