Using equations of motion in cylindrical coordinates, a. Determine the angle between the extended r-axis and the tangent line, , at time t = 2 s. i. Include negative sign if applicable. b. Determine the magnitude of the force of the arm on the cylinder, Farm at time t = 2 s. c. Determine the magnitude of the normal force between the slot and cylinder, N, at time t = 2
Using equations of motion in cylindrical coordinates, a. Determine the angle between the extended r-axis and the tangent line, , at time t = 2 s. i. Include negative sign if applicable. b. Determine the magnitude of the force of the arm on the cylinder, Farm at time t = 2 s. c. Determine the magnitude of the normal force between the slot and cylinder, N, at time t = 2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Using a forked rod, a m = 2 kg smooth ball bearing is confined to a path defined by the equation r
(0.5 0) m, where is in radians. The angular position of the arm is defined by the equation 0 = (
t²) rad, where t is in seconds. Motion occurs in the vertical plane
=
π
Hint:
1. Assume that the peg only contacts one side of the slotted path and one edge of the rod at
any instant.
Farm =
N =
Using equations of motion in cylindrical coordinates,
a. Determine the angle between the extended r-axis and the tangent line, , at time t = 2 s.
i. Include negative sign if applicable.
b. Determine the magnitude of the force of the arm on the cylinder, Farm, at time t = 2 s.
c. Determine the magnitude of the normal force between the slot and cylinder, N, at time t = 2
s.
degrees
80
Round your final answers to 3 significant digits/figures.
N
r = f(0)
N
m
0₁](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd99806c6-42e8-450c-a219-a2d748677dac%2F65718980-e340-4abb-86b6-413e7e7b8541%2Fdv6m8u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using a forked rod, a m = 2 kg smooth ball bearing is confined to a path defined by the equation r
(0.5 0) m, where is in radians. The angular position of the arm is defined by the equation 0 = (
t²) rad, where t is in seconds. Motion occurs in the vertical plane
=
π
Hint:
1. Assume that the peg only contacts one side of the slotted path and one edge of the rod at
any instant.
Farm =
N =
Using equations of motion in cylindrical coordinates,
a. Determine the angle between the extended r-axis and the tangent line, , at time t = 2 s.
i. Include negative sign if applicable.
b. Determine the magnitude of the force of the arm on the cylinder, Farm, at time t = 2 s.
c. Determine the magnitude of the normal force between the slot and cylinder, N, at time t = 2
s.
degrees
80
Round your final answers to 3 significant digits/figures.
N
r = f(0)
N
m
0₁
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