Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Text:**

A laborer needs to hold a 200 lbs weight above a truck bed. With the given geometry shown in the diagram below, what force (F) does this person need to pull with? Assume the mast exerts a force (as a vector) along its axis. Hint: The force (F) does not necessarily equal 200 lbs.

**Diagram Explanation:**

The diagram illustrates a person standing on a flat surface, pulling a rope attached to the top of a mast. The force exerted by the person is labeled as "F" and extends at an angle of 20° from the horizontal. The mast, extending from the bottom to the top, is inclined at an angle of 30° from the horizontal, holding the 200 lbs weight at its top. The angles suggest a mechanical advantage and require calculating the actual force needed based on vector components.
Transcribed Image Text:**Text:** A laborer needs to hold a 200 lbs weight above a truck bed. With the given geometry shown in the diagram below, what force (F) does this person need to pull with? Assume the mast exerts a force (as a vector) along its axis. Hint: The force (F) does not necessarily equal 200 lbs. **Diagram Explanation:** The diagram illustrates a person standing on a flat surface, pulling a rope attached to the top of a mast. The force exerted by the person is labeled as "F" and extends at an angle of 20° from the horizontal. The mast, extending from the bottom to the top, is inclined at an angle of 30° from the horizontal, holding the 200 lbs weight at its top. The angles suggest a mechanical advantage and require calculating the actual force needed based on vector components.
Expert Solution
Step 1

Data given

Civil Engineering homework question answer, step 1, image 1

Weight, W = 200 lb

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