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15. Using your derivations in the previous two questions, calculate the coefficient of kinetic friction and the uncertainty Quk: 16. Report your final value for uatoue:

15. Using your derivations in the previous two questions, calculate the coefficient of kinetic friction and the uncertainty Quk: 16. Report your final value for uatoue:

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Please if possible do #15-16 with provided work. Thank You!!!

**15.** Using your derivations in the previous two questions, calculate the coefficient of kinetic friction and the uncertainty \( \delta \mu_k \). **16.** Report your final value for \( \mu_k \pm \delta \mu_k \): _______________
Transcribed Image Text:**15.** Using your derivations in the previous two questions, calculate the coefficient of kinetic friction and the uncertainty \( \delta \mu_k \). **16.** Report your final value for \( \mu_k \pm \delta \mu_k \): _______________
**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 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? *The diagram shows a box on an inclined plane supported by a structure.* 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 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? *The diagram shows a box on an inclined plane supported by a structure.* 2. Is there a difference between drawing an FBD for a static case vs. kinetic case? Why or why not?
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Step 1

Free Body diagram (FBDs) are very useful to solve many mechanical problems such as inclined planes, pully systems.

This problem can be solved by resolving force component.∑iFx = max   , mgsin(θ) - μkN = max  ,along the X-axis.∑iFy = may  ,  N-mgcos(θ) = 0  ,  along the Y-axis Lets resolve the forces along the X-axis & y-axis.

At equillibium ax = 0 (no motion)

 

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