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°

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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.

 

## 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.
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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