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The problem states: \"A 400N weight is supported by a 1.6 meter, uniform beam on

ID: 2110378 • Letter: T

Question

The problem states:


"A 400N weight is supported by a 1.6 meter, uniform beam on a

nautilus machine attached to a hinge. An athlete applies a vertical

force F, at the end of the beam as shown below. If the beam's mass

is 20kg and the system is in static equilibrium;


a) draw a free body diagram for the beam (please advise what to

draw & in what direction)


b) determine the applied force (F)


c) determine the x and y components of the reaction force at the

hinge (we use "Rx" and "Ry" components"


The attached diagram shows a beam of 1.6 meters that is hinged

on the left side. It is at a 40 degree angle up (being held upright

by a man seated on the right side) An upward Force is drawn in at

the right end of the beam above where the man is holding

it. There is a 400N weight hanging down from the beam

at 1.2 meters (from left side to right side)


***Please provide all steps/formulas used to provide a clear

explanation of how each answer is found. Thank

you!


Explanation / Answer

Given s=3.96(a) a=0.01, |Z(0.005)|=2.58 (check standard normal table)E=0.5So n=(Z*s/E)^2 = (2.58*3.96/0.5)^2=417.532Take n=418-----------------------------------------------------------------------(b) E=1So n=(Z*s/E)^2 = (2.58*3.96/1)^2=104.383Take n=105