### Problem Statement:A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown in the diagram. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?### Diagram Description:The diagram shows a truck on a steep incline. The truck is attached to a power winch, and a cable extends from the winch, goes through a pulley fixed to a tree, and connects back to the truck. The direction of the cable indicates that as the winch pulls the cable in, it helps the truck ascend the incline.### Calculation Steps:1. **Convert the Cable Speed:** The cable speed is given as 48 mm/s. Convert this speed to meters per second for consistency with the distance: \( 48 \text{ mm/s} = 0.048 \text{ m/s} \)2. **Distance to be Moved:** The truck needs to move a distance of 8.86 meters up the incline.3. **Calculate the Time:** Use the formula for time: \[ t = \frac{distance}{speed} \] Substituting the given values: \[ t = \frac{8.86 \text{ m}}{0.048 \text{ m/s}} = 184.58 \text{ s} \]Therefore, the answer is:### Solution:Answer: \( t = 184.58 \text{ s} \)

Answered: Image /qna-images/answer/cca165bf-27a7-43af-b2e7-db6662db7630.jpg

A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?

A truck equipped with a power winch on its front end pulls itself up a steep incline with the cable and pulley arrangement shown. If the cable is wound up on the drum at the constant rate of 48 mm/s, how long does it take for the truck to move 8.86 m up the incline?

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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