Using a forked rod, a m=1.5 kg smooth ball bearing is confined to a path defined by the equation r-( 2.5 - 0) m, where e is in radians. The angular position of the arm is defined by the equation @ = ) rad, where t is in seconds. Motion occurs in the vertical plane Hint: 1. Assume that the peg only contacts one side of the slotted path and one edge of the rod at any instant. r= f(e) Using equations of motion in cylindrical coordinates, a. Determine the angle between the extended r-axis and the tangent line, t, 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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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B7
Using a forked rod, a m = 1.5 kg smooth ball bearing is confined to a path defined by the equation r (
2.5 - 0) m, where e is in radians. The angular position of the arm is defined by the equation e = (- )
rad, where t is in seconds. Motion occurs in the vertical plane
Hint:
1. Assume that the peg only contacts one side of the slotted path and one edge of the rod at any
instant.
r= f(e)
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, Farms at time t= 2 s.
c. Determine the magnitude of the normal force between the slot and cylinder, N, at time t = 2 s.
Round your final answers to 3 significant digits/figures.
degrees
Farm
N
%3!
N =
N
Transcribed Image Text:Using a forked rod, a m = 1.5 kg smooth ball bearing is confined to a path defined by the equation r ( 2.5 - 0) m, where e is in radians. The angular position of the arm is defined by the equation e = (- ) rad, where t is in seconds. Motion occurs in the vertical plane Hint: 1. Assume that the peg only contacts one side of the slotted path and one edge of the rod at any instant. r= f(e) 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, Farms at time t= 2 s. c. Determine the magnitude of the normal force between the slot and cylinder, N, at time t = 2 s. Round your final answers to 3 significant digits/figures. degrees Farm N %3! N = N
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