In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that θ1 = 35.0°, θ2 = 55.0°
In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that θ1 = 35.0°, θ2 = 55.0°
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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In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that
θ1 = 35.0°,
θ2 = 55.0°,
θ3 = 59.0°,
m1 = 6.00 kg,
and
m2 = 11.0 kg.

Transcribed Image Text:## Diagram Analysis: Tension in Ropes
The image consists of two diagrams labeled (a) and (b), each illustrating a different tension scenario involving masses suspended by ropes.
### Diagram (a)
In this scenario:
- A mass \(m_1\) is suspended by three ropes.
- The ropes are arranged such that \(T_1\) and \(T_2\) are angled with respect to the ceiling, forming angles \(\theta_1\) and \(\theta_2\), respectively.
- The third rope, \(T_3\), hangs vertically and supports the mass \(m_1\).
- The tensions in the ropes are denoted as \(T_1\), \(T_2\), and \(T_3\).
Below the diagram are placeholders for calculating the tensions in the respective ropes:
- \(T_1 = \) _______ N
- \(T_2 = \) _______ N
- \(T_3 = \) _______ N
### Diagram (b)
In this scenario:
- A mass \(m_2\) is suspended in a corner using three ropes.
- Rope \(T_3\) hangs vertically, supporting the mass \(m_2\).
- Ropes \(T_1\) and \(T_2\) connect to the walls, forming an angle \(\theta_3\) with the horizontal.
- Tensions in the ropes are also indicated as \(T_1\), \(T_2\), and \(T_3\).
Below the diagram are placeholders for calculating the tensions in the respective ropes:
- \(T_1 = \) _______ N
- \(T_2 = \) _______ N
- \(T_3 = \) _______ N
These diagrams are useful for understanding how forces are distributed in systems involving tension and angles.
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