A homeowner is trying to move a stubborn rock from his yard. By using a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance \( d = 0.244 \, \text{m} \) from the rock, which has a mass of 365 kg, and fits one end of the rod under the rock's center of weight.![Diagram](image.png)*The diagram shows the setup: a rock, placed on the left, is balanced on a fulcrum represented by a triangular shape. The distance from the fulcrum to the rock is labeled as \( d \). A rod extends to the right.*If the homeowner can apply a maximum force of 695 N at the other end of the rod, what is the minimum total length \( L \) of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is \( g = 9.81 \, \text{m/s}^2 \).\[ L = \, \_\_\_\_\_ \, \text{m} \]

Given Distance of fulcrum from rod d=0.244m Mass of rock m=365kg Maximum force applied by homeowner…

A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance d = 0.244 m from the rock, which has a mass of 365 kg, and fits one end of the rod under the rock's center of weight.

A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance d = 0.244 m from the rock, which has a mass of 365 kg, and fits one end of the rod under the rock's center of weight.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A homeowner is trying to move a stubborn rock from his yard. By using a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance \( d = 0.244 \, \text{m} \) from the rock, which has a mass of 365 kg, and fits one end of the rod under the rock's center of weight.

![Diagram](image.png)

*The diagram shows the setup: a rock, placed on the left, is balanced on a fulcrum represented by a triangular shape. The distance from the fulcrum to the rock is labeled as \( d \). A rod extends to the right.*

If the homeowner can apply a maximum force of 695 N at the other end of the rod, what is the minimum total length \( L \) of the rod required to move the rock? Assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner's force are both essentially vertical. The acceleration due to gravity is \( g = 9.81 \, \text{m/s}^2 \).

\[ L = \, \_\_\_\_\_ \, \text{m} \]

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