Problem 5: A particle, with a mass of 3 kg, is traveling around a circle of radius R₁ = 1 m. The particle's speed v is a function of its paths (i.e., distance traveled): v(s) = 1 Note that the particle starts at the coordinates (1,0) m and travels to point A given by coordinates (0, 1) m. A y x Figure 5: Circular path of particle. S Based on the information given, answer the following questions: i) ii) iii) What is the tangential component of acceleration at the instant the particle is at point A? What is the normal (or centripetal) component of acceleration at the instant the particle is at point A? What is the net force acting on the particle at the instant it is at point A? Draw a sketch of the particle at point A. Please include the tangential and normal unit vectors, as well as the acceleration, and net force in normal and tangential components. Please do your best to draw to scale. How is the direction of the net force related to the direction of the acceleration?

icon
Related questions
Question

Please answer in the coordinate system specified and show all steps.

Problem 5: A particle, with a mass of 3 kg, is traveling around a circle of radius R₁ = 1 m. The
particle's speed v is a function of its paths (i.e., distance traveled):
v(s) =
1
Note that the particle starts at the coordinates (1,0) m and travels to point A given by coordinates
(0, 1) m.
A
y
x
Figure 5: Circular path of particle.
S
Based on the information given, answer the following questions:
i)
ii)
iii)
What is the tangential component of acceleration at the instant the particle is at point
A?
What is the normal (or centripetal) component of acceleration at the instant the
particle is at point A?
What is the net force acting on the particle at the instant it is at point A?
Draw a sketch of the particle at point A. Please include the tangential and normal unit
vectors, as well as the acceleration, and net force in normal and tangential
components. Please do your best to draw to scale. How is the direction of the net
force related to the direction of the acceleration?
Transcribed Image Text:Problem 5: A particle, with a mass of 3 kg, is traveling around a circle of radius R₁ = 1 m. The particle's speed v is a function of its paths (i.e., distance traveled): v(s) = 1 Note that the particle starts at the coordinates (1,0) m and travels to point A given by coordinates (0, 1) m. A y x Figure 5: Circular path of particle. S Based on the information given, answer the following questions: i) ii) iii) What is the tangential component of acceleration at the instant the particle is at point A? What is the normal (or centripetal) component of acceleration at the instant the particle is at point A? What is the net force acting on the particle at the instant it is at point A? Draw a sketch of the particle at point A. Please include the tangential and normal unit vectors, as well as the acceleration, and net force in normal and tangential components. Please do your best to draw to scale. How is the direction of the net force related to the direction of the acceleration?
Expert Solution
steps

Step by step

Solved in 2 steps with 8 images

Blurred answer