Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 13 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. Under the same assumptions, write an expression for a2, the block of the mass m2 experiences in the y direction. Your answer should be in terms of the tension, T and m2

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Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 13 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram.

Under the same assumptions, write an expression for a2, the block of the mass mexperiences in the y direction. Your answer should be in terms of the tension, T and m2

I have tried the following but they are incorrect: 

a2= (m2g-T)/m2

a2=g-(T/m2)

a2=g-T/m2

The image is a hand-drawn diagram illustrating a physics scenario involving two masses, \( m_1 \) and \( m_2 \). Here's a detailed description:

1. **Mass \( m_1 \):**
   - Positioned on a surface, possibly a table or a platform.
   - There is a force \( F \) acting horizontally on \( m_1 \) to the right.
   - An arrow labeled \( a_1 \) indicates the acceleration of \( m_1 \) in the direction of the force \( F \).

2. **Mass \( m_2 \):**
   - Hanging vertically off the side of the surface, connected by a rope or string.
   - The tension in the rope is represented by \( T \).
   - An arrow labeled \( a_2 \) points downward, showing the acceleration of \( m_2 \).
   - The gravitational force acting on \( m_2 \) is labeled \( mg \) and is directed downward.

3. **Pulley System:**
   - The rope passes over a pulley positioned at the edge of the surface, which changes the direction of tension \( T \).

This setup is typical in physics problems dealing with Newton's laws of motion, specifically involving forces, tension, and acceleration.
Transcribed Image Text:The image is a hand-drawn diagram illustrating a physics scenario involving two masses, \( m_1 \) and \( m_2 \). Here's a detailed description: 1. **Mass \( m_1 \):** - Positioned on a surface, possibly a table or a platform. - There is a force \( F \) acting horizontally on \( m_1 \) to the right. - An arrow labeled \( a_1 \) indicates the acceleration of \( m_1 \) in the direction of the force \( F \). 2. **Mass \( m_2 \):** - Hanging vertically off the side of the surface, connected by a rope or string. - The tension in the rope is represented by \( T \). - An arrow labeled \( a_2 \) points downward, showing the acceleration of \( m_2 \). - The gravitational force acting on \( m_2 \) is labeled \( mg \) and is directed downward. 3. **Pulley System:** - The rope passes over a pulley positioned at the edge of the surface, which changes the direction of tension \( T \). This setup is typical in physics problems dealing with Newton's laws of motion, specifically involving forces, tension, and acceleration.
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