Draw two free-body diagrams: one for the cart (M) and one for the falling mass (m). Apply Newton's Second Law to each mass and derive TWO SEPARATE expressions for the Tension T of the system as a function of acceleration a, M, m and g. NOTE: One equation will include M but not m, while the other will include m but not M.

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Find two separate expressions for Tension T, one for the Tension in the string attached to the cart and the other for the string attached to the mass hangar.
1. Draw two free-body diagrams: one for the cart (M) and one for the falling mass (m). Apply Newton's Second Law to each mass and derive TWO SEPARATE expressions for the Tension T of the system as a function of acceleration a, M, m, and g. NOTE: One equation will include M but not m, while the other will include m but not M.
Transcribed Image Text:1. Draw two free-body diagrams: one for the cart (M) and one for the falling mass (m). Apply Newton's Second Law to each mass and derive TWO SEPARATE expressions for the Tension T of the system as a function of acceleration a, M, m, and g. NOTE: One equation will include M but not m, while the other will include m but not M.
The image depicts a physics experiment setup involving a Smart Cart on a track. Here's a detailed transcription:

**Diagram Description:**

1. **Components:**
   - A Smart Cart is placed on a straight horizontal track, which is indicated by a double-headed arrow marked "0.5 m" showing the direction and distance the cart can move.
   - A string is attached to the Smart Cart. It runs over a pulley situated at the edge of the track.
   - The other end of the string is connected to a Mass Hanger, which hangs vertically off the edge due to gravity.

2. **Connections:**
   - The string, pulley, Smart Cart, and Mass Hanger form part of a dynamics experiment, likely involving the study of motion, force, or friction.

3. **Purpose:**
   - This setup can be used to investigate concepts such as Newton's laws of motion, acceleration, the relationship between force, mass, and acceleration, or frictional forces.

4. **Measurements:**
   - The marked distance of "0.5 m" on the track indicates a measured region for the movement of the Smart Cart, providing a defined path for observation and measurement.

This setup is typical for experiments analyzing the interplay of gravitational force and motion on an inclined or horizontal plane.
Transcribed Image Text:The image depicts a physics experiment setup involving a Smart Cart on a track. Here's a detailed transcription: **Diagram Description:** 1. **Components:** - A Smart Cart is placed on a straight horizontal track, which is indicated by a double-headed arrow marked "0.5 m" showing the direction and distance the cart can move. - A string is attached to the Smart Cart. It runs over a pulley situated at the edge of the track. - The other end of the string is connected to a Mass Hanger, which hangs vertically off the edge due to gravity. 2. **Connections:** - The string, pulley, Smart Cart, and Mass Hanger form part of a dynamics experiment, likely involving the study of motion, force, or friction. 3. **Purpose:** - This setup can be used to investigate concepts such as Newton's laws of motion, acceleration, the relationship between force, mass, and acceleration, or frictional forces. 4. **Measurements:** - The marked distance of "0.5 m" on the track indicates a measured region for the movement of the Smart Cart, providing a defined path for observation and measurement. This setup is typical for experiments analyzing the interplay of gravitational force and motion on an inclined or horizontal plane.
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