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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

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

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