Purpose To practice with drawing FBDS and working with net force; to learn to work with inclined planes and frictional forces. Introduction Newton's Laws assert that if a particle is in equilibrium then the total force on it must vanish, i.e. the vector sum of the applied forces must be equal to zero, F = 0. If the total force is not zero, the particle is not in equilibrium, and then F, = ma . The purpose of this experiment is to work with a system which can be in equilibrium, or not in equilibrium (what is the main difference and how can you tell?). We will also practice drawing FBD and working with friction. Prelab 1. Below is a schematic of an inclined plane problem. In the space provided, draw a free-body diagram and label all the forces acting on the box. How can you tell if this box is in equilibrium or not? 2. Is there a difference between drawing an FBD for a static case vs. kinetic case? Why or why not?

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Please if possible do #11-12 with provided work. Thank You!!!

**Purpose**

To practice with drawing Free Body Diagrams (FBDs) and working with net force; to learn to work with inclined planes and frictional forces.

**Introduction**

Newton's Laws assert that if a particle is in equilibrium, then the total force on it must vanish, i.e., the vector sum of the applied forces must be equal to zero, \(\sum_{i} \vec{F_{i}} = 0\). If the total force is not zero, the particle is not in equilibrium, and then \(\sum_{i} \vec{F_{i}} = \vec{ma}\).

The purpose of this experiment is to work with a system that can be in equilibrium or not in equilibrium (what is the main difference and how can you tell?). We will also practice drawing FBD and working with friction.

**Prelab**

1. Below is a schematic of an inclined plane problem. In the space provided, draw a free-body diagram and label all the forces acting on the box. How can you tell if this box is in equilibrium or not?

   *Diagram description:*  
   The diagram shows a box resting on an inclined plane with a supporting structure beneath. The plane is slanted, indicating the need to analyze gravity, normal force, and friction.

2. Is there a difference between drawing an FBD for a static case vs. kinetic case? Why or why not?
Transcribed Image Text:**Purpose** To practice with drawing Free Body Diagrams (FBDs) and working with net force; to learn to work with inclined planes and frictional forces. **Introduction** Newton's Laws assert that if a particle is in equilibrium, then the total force on it must vanish, i.e., the vector sum of the applied forces must be equal to zero, \(\sum_{i} \vec{F_{i}} = 0\). If the total force is not zero, the particle is not in equilibrium, and then \(\sum_{i} \vec{F_{i}} = \vec{ma}\). The purpose of this experiment is to work with a system that can be in equilibrium or not in equilibrium (what is the main difference and how can you tell?). We will also practice drawing FBD and working with friction. **Prelab** 1. Below is a schematic of an inclined plane problem. In the space provided, draw a free-body diagram and label all the forces acting on the box. How can you tell if this box is in equilibrium or not? *Diagram description:* The diagram shows a box resting on an inclined plane with a supporting structure beneath. The plane is slanted, indicating the need to analyze gravity, normal force, and friction. 2. Is there a difference between drawing an FBD for a static case vs. kinetic case? Why or why not?
**Transcription:**

13. Using the FBD you drew in the prelab, set up both \(\Sigma \overline{F}\) equations, and use them to derive the expression for the coefficient of kinetic friction. Show all work! You may use additional sheet of paper if necessary (remember \(\Sigma \overline{F} \neq 0\)!). 

14. You should’ve derived \(\mu_k = \tan \theta - \frac{a}{g \cos \theta}\). Using propagation of error analysis, derive the expression for the uncertainty in \(\mu_k\). Take \(g\) to be exact. Show all work!
Transcribed Image Text:**Transcription:** 13. Using the FBD you drew in the prelab, set up both \(\Sigma \overline{F}\) equations, and use them to derive the expression for the coefficient of kinetic friction. Show all work! You may use additional sheet of paper if necessary (remember \(\Sigma \overline{F} \neq 0\)!). 14. You should’ve derived \(\mu_k = \tan \theta - \frac{a}{g \cos \theta}\). Using propagation of error analysis, derive the expression for the uncertainty in \(\mu_k\). Take \(g\) to be exact. Show all work!
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