2. A suitcase slides down a ramp between Points A and B as shown below. It has an initial velocity of 2 m/s and a mass of 2.1 kg. The coefficient of static friction between the suitcase and ramp is 0.3 while the coefficient of kinetic friction between the suitcase and ramp is 0.2. Answer the following questions. a. To analyze the suitcase using Newton's 2nd Law of Motion, do you need to know the weight, the mass, or both? Justify your response. 2.7 m b. Do you need to use static friction, kinetic friction, or both in this analysis? Justify your response. c. Draw and label a free-body diagram (using S.P.R.E.A.D.) and a kinetic diagram of the suitcase. Hint: There is an advantage to rotating your x-axis to be along the surface of the ramp. Do not label the figure provided. d. What is the friction force acting on the suitcase as it slides down the ramp? Show your work.

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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2. A suitcase slides down a ramp between Points A and B as shown below. It has an initial velocity of 2 m/s
AL
and a mass of 2.1 kg. The coefficient of static friction between the suitcase and ramp is 0.3 while the
coefficient of kinetic friction between the suitcase and ramp is 0.2. Answer the following questions.
a. To analyze the suitcase using Newton's 2nd Law of Motion, do you need.
to know the weight, the mass, or both? Justify your response.
b. Do you need to use static friction, kinetic friction, or both in this analysis? Justify your response.
c. Draw and label a free-body diagram (using S.P.R.E.A.D.) and a kinetic diagram of the suitcase. Hint:
There is an advantage to rotating your x-axis to be along the surface of the ramp. Do not label the
figure provided.
d. What is the friction force acting on the suitcase as it slides down the ramp? Show your work.
Magnitude rounded to 3 sig. fig.
2.7 m
Units
Direction
30%
e. What is the acceleration of the suitcase as it slides down the ramp? Show your work.
B
Transcribed Image Text:2. A suitcase slides down a ramp between Points A and B as shown below. It has an initial velocity of 2 m/s AL and a mass of 2.1 kg. The coefficient of static friction between the suitcase and ramp is 0.3 while the coefficient of kinetic friction between the suitcase and ramp is 0.2. Answer the following questions. a. To analyze the suitcase using Newton's 2nd Law of Motion, do you need. to know the weight, the mass, or both? Justify your response. b. Do you need to use static friction, kinetic friction, or both in this analysis? Justify your response. c. Draw and label a free-body diagram (using S.P.R.E.A.D.) and a kinetic diagram of the suitcase. Hint: There is an advantage to rotating your x-axis to be along the surface of the ramp. Do not label the figure provided. d. What is the friction force acting on the suitcase as it slides down the ramp? Show your work. Magnitude rounded to 3 sig. fig. 2.7 m Units Direction 30% e. What is the acceleration of the suitcase as it slides down the ramp? Show your work. B
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