7. A uniform ladder of mass (m = 15.0 kg) and length (L) leans against a frictionless wall, see figure. If the angle 0 = 56.0°, find the static friction force between the ladder and the floor when a 70.0-kg person stands three-quarters of the way up the ladder?
7. A uniform ladder of mass (m = 15.0 kg) and length (L) leans against a frictionless wall, see figure. If the angle 0 = 56.0°, find the static friction force between the ladder and the floor when a 70.0-kg person stands three-quarters of the way up the ladder?
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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![**Problem:**
7. A uniform ladder of mass (\(m = 15.0 \, \text{kg}\)) and length (\(L\)) leans against a frictionless wall, as shown in the figure. If the angle \(\theta = 56.0^\circ\), find the static friction force between the ladder and the floor when a 70.0-kg person stands three-quarters of the way up the ladder?
[Input Field] \(\_\_\_\_\) N
**Diagram Explanation:**
The diagram shows a right triangle formed by the ladder, the wall, and the floor. The ladder is positioned such that it makes an angle \(\theta = 56^\circ\) with the floor. The point where the ladder touches the floor is the base of the triangle, and the ladder itself is the hypotenuse, labeled as \(L\). The wall provides no friction, while the floor requires a static friction force to keep the ladder in place when the person stands on it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88cd9656-9419-481b-bc0b-e9aadd0312cb%2F58b61ed3-eff0-4c67-a600-b0d82ce46a37%2Fqdxijce_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
7. A uniform ladder of mass (\(m = 15.0 \, \text{kg}\)) and length (\(L\)) leans against a frictionless wall, as shown in the figure. If the angle \(\theta = 56.0^\circ\), find the static friction force between the ladder and the floor when a 70.0-kg person stands three-quarters of the way up the ladder?
[Input Field] \(\_\_\_\_\) N
**Diagram Explanation:**
The diagram shows a right triangle formed by the ladder, the wall, and the floor. The ladder is positioned such that it makes an angle \(\theta = 56^\circ\) with the floor. The point where the ladder touches the floor is the base of the triangle, and the ladder itself is the hypotenuse, labeled as \(L\). The wall provides no friction, while the floor requires a static friction force to keep the ladder in place when the person stands on it.
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