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A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 675-N person is d = 0.500 m from the left end. magnitude of T, magnitude of T, magnitude of T

A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 675-N person is d = 0.500 m from the left end. magnitude of T, magnitude of T, magnitude of T

College Physics
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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Please find the magnitude of t1 

answer for magnitude of t2 = 672 

What is the magnitude of t3 ? 

# Problem Statement ### Understanding Forces in Equilibrium A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 675-N person is \( d = 0.500 \) m from the left end. --- **To calculate:** - Magnitude of \( \vec{T}_1 \): ________ N - Magnitude of \( \vec{T}_2 \): ________ N - Magnitude of \( \vec{T}_3 \): ________ N --- ### Diagram Explanation The diagram shows the setup: - The plank (horizontal) is 2.00 m long. - A person is standing \( d = 0.500 \) m from the left end of the plank. - Three tension forces (\( \vec{T}_1 \), \( \vec{T}_2 \), and \( \vec{T}_3 \)) are acting on the plank, represented by blue arrows. - \( \vec{T}_1 \) is at the right end, angled \( 40.0^\circ \) from the horizontal. - \( \vec{T}_2 \) is at the left end, vertically upward. - \( \vec{T}_3 \) is acting horizontally to the left from the middle of the plank. By solving the equilibrium conditions, namely the sum of all horizontal forces, vertical forces, and torques around a point being zero, we can determine the tension in each rope.
Transcribed Image Text:# Problem Statement ### Understanding Forces in Equilibrium A uniform plank of length 2.00 m and mass 35.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 675-N person is \( d = 0.500 \) m from the left end. --- **To calculate:** - Magnitude of \( \vec{T}_1 \): ________ N - Magnitude of \( \vec{T}_2 \): ________ N - Magnitude of \( \vec{T}_3 \): ________ N --- ### Diagram Explanation The diagram shows the setup: - The plank (horizontal) is 2.00 m long. - A person is standing \( d = 0.500 \) m from the left end of the plank. - Three tension forces (\( \vec{T}_1 \), \( \vec{T}_2 \), and \( \vec{T}_3 \)) are acting on the plank, represented by blue arrows. - \( \vec{T}_1 \) is at the right end, angled \( 40.0^\circ \) from the horizontal. - \( \vec{T}_2 \) is at the left end, vertically upward. - \( \vec{T}_3 \) is acting horizontally to the left from the middle of the plank. By solving the equilibrium conditions, namely the sum of all horizontal forces, vertical forces, and torques around a point being zero, we can determine the tension in each rope.
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