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2. Force F pulls the rope down at constant speed 4 ft/s. Determine a) the power in units of hp delivered to block B which has weight 100 lbs and b) the value of F.

2. Force F pulls the rope down at constant speed 4 ft/s. Determine a) the power in units of hp delivered to block B which has weight 100 lbs and b) the value of F.

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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**Problem Statement:** Force \( F \) pulls the rope down at a constant speed of 4 ft/s. Determine a) the power in units of horsepower (hp) delivered to block B, which has a weight of 100 lbs, and b) the value of \( F \). **Diagram Explanation:** The diagram illustrates a pulley system with a block \( B \) attached to a rope. The system includes two fixed pulleys. A downward force \( F \) is applied to the rope. - Block \( B \) is labeled at the bottom right and is shown hanging. - The rope attached to block \( B \) passes over two pulleys. - The red arrow indicates the direction of force \( F \), acting downward. - The variables \( x_A \), \( d \), \( x_B \), and \( c \) are marked, indicating positions or lengths within the pulley setup. This setup is designed to evaluate the power and force requirements for the shown motion.
Transcribed Image Text:**Problem Statement:** Force \( F \) pulls the rope down at a constant speed of 4 ft/s. Determine a) the power in units of horsepower (hp) delivered to block B, which has a weight of 100 lbs, and b) the value of \( F \). **Diagram Explanation:** The diagram illustrates a pulley system with a block \( B \) attached to a rope. The system includes two fixed pulleys. A downward force \( F \) is applied to the rope. - Block \( B \) is labeled at the bottom right and is shown hanging. - The rope attached to block \( B \) passes over two pulleys. - The red arrow indicates the direction of force \( F \), acting downward. - The variables \( x_A \), \( d \), \( x_B \), and \( c \) are marked, indicating positions or lengths within the pulley setup. This setup is designed to evaluate the power and force requirements for the shown motion.
Expert Solution
Step 1

Consider the diagram shown below for the displacement of the force.

Mechanical Engineering homework question answer, step 1, image 1

For the small displacement of the roper over the pulley 1, the displacement of the pulley 2 is half times x.

That is

Mechanical Engineering homework question answer, step 1, image 2

Differentiate the above equation with time,

Mechanical Engineering homework question answer, step 1, image 3

steps

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