Problem 3: A particle is traveling along paths from A to B, as illustrated in Figure 3 below. Based on this information, answer the following conceptual questions. S B A a y x i) ii) iii) Figure 3: Path of particle. At A, the acceleration is pointing up and to the right. Is the particle speeding up or slowing down? Use tangential and normal components of acceleration to explain your answer. When at the crest (point B), is it possible for the acceleration vector to have a component pointing in the positive y-direction? Explain. Hint: Think about the "best- fit" circle. Somewhere between points A and B, the radius of curvature is infinite. Explain why this is true. Hint: Think about the equation for radius of curvature and concavity.
Problem 3: A particle is traveling along paths from A to B, as illustrated in Figure 3 below. Based on this information, answer the following conceptual questions. S B A a y x i) ii) iii) Figure 3: Path of particle. At A, the acceleration is pointing up and to the right. Is the particle speeding up or slowing down? Use tangential and normal components of acceleration to explain your answer. When at the crest (point B), is it possible for the acceleration vector to have a component pointing in the positive y-direction? Explain. Hint: Think about the "best- fit" circle. Somewhere between points A and B, the radius of curvature is infinite. Explain why this is true. Hint: Think about the equation for radius of curvature and concavity.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter10: Force And Force-related Variables In Engineering
Section: Chapter Questions
Problem 28P
Related questions
Question
Please show all steps and make sure to use the type of coordinate system (tangential/normal) specified.
Transcribed Image Text:Problem 3: A particle is traveling along paths from A to B, as illustrated in Figure 3 below.
Based on this information, answer the following conceptual questions.
S
B
A
a
y
x
i)
ii)
iii)
Figure 3: Path of particle.
At A, the acceleration is pointing up and to the right. Is the particle speeding up or
slowing down? Use tangential and normal components of acceleration to explain your
answer.
When at the crest (point B), is it possible for the acceleration vector to have a
component pointing in the positive y-direction? Explain. Hint: Think about the "best-
fit" circle.
Somewhere between points A and B, the radius of curvature is infinite. Explain why
this is true. Hint: Think about the equation for radius of curvature and concavity.
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