1. The figure below shows a one-dimensional, horizontal beam of uniform-density in static equilibrium. The beam is supportedby a frictionless support at a point 1/3 of the way down its length (L). A rope running through a frictionless pulley is attachedto the far end of the beam. The mass of the beam per-unit-meter (m) is known, and the magnitude of the acceleration due togravity is g.y| 913a) What is the total force due to the weight of the beam and where does it act?b) Draw the free body diagram (FBD) of this beam.c) Derive expressions for the vertical reaction force at the support (R) and the force applied to the end of the rope (F).Your expressions should be in terms of L, m,, and g; that is, you should find Ry = f(L, mr, g) and F = f(L, mz.g).

Answered: Image /qna-images/answer/1bb4cb79-a190-46a2-b9ea-7b6dad8c8b47.jpg

y₁ X 13 -الا L a) What is the total force due to the weight of the beam and where does it act? b) Draw the free body diagram (FBD) of this beam. c) Derive expressions for the vertical reaction force at the support (R,) and the force applied to the end of the rope (F). Your expressions should be in terms of L, m., and g; that is, you should find Ry = f(L, mr, g) and F = f(L,m,,g).

y₁ X 13 -الا L a) What is the total force due to the weight of the beam and where does it act? b) Draw the free body diagram (FBD) of this beam. c) Derive expressions for the vertical reaction force at the support (R,) and the force applied to the end of the rope (F). Your expressions should be in terms of L, m., and g; that is, you should find Ry = f(L, mr, g) and F = f(L,m,,g).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

1. The figure below shows a one-dimensional, horizontal beam of uniform-density in static equilibrium. The beam is supported
by a frictionless support at a point 1/3 of the way down its length (L). A rope running through a frictionless pulley is attached
to the far end of the beam. The mass of the beam per-unit-meter (m) is known, and the magnitude of the acceleration due to
gravity is g.
y
| 9
13
a) What is the total force due to the weight of the beam and where does it act?
b) Draw the free body diagram (FBD) of this beam.
c) Derive expressions for the vertical reaction force at the support (R) and the force applied to the end of the rope (F).
Your expressions should be in terms of L, m,, and g; that is, you should find Ry = f(L, mr, g) and F = f(L, mz.g).

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