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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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
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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