I DID POST IT BEFORE AND THEY ANSWERD IT WRONG A purple beam is hinged to a wall
ID: 1567453 • Letter: I
Question
I DID POST IT BEFORE AND THEY ANSWERD IT WRONG
A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.8 kg and the sign has a mass of ms = 17.7 kg. The length of the beam is L = 2.4 m. The sign is attached at the very end of the beam, but the horizontal wire holding up the beam is attached 2/3 of the way to the end of the beam. The angle the wire makes with the beam is = 30.5°.
1) What is the tension in the wire?
N
2) What is the net force the hinge exerts on the beam?
N
Explanation / Answer
mass of the beam, mb=6.8 kg
mass of the sign, ms=17.7
length of the beam, L=2.4 m
angle, theta=30.5 degrees
tension in wire is T
a)
at equilibrium, the net torque is zero
T*2/3*L*sin(theta)-mb*g*L/2*cos(theta)-ms*g*L*cos(theta)=0
T*2/3*2.4*sin(30.5)-6.8*9.8*2.4/2*cos(30.5)-17.7*9.8*2.4*COS(30.5)=0
T=526.56 N
b)
horizontal force, Fx=T=526.56 N
vertical force, Fy=(ms+mb)*g
Fy=(6.8+17.7)*9.8
Fy=240.1 N
Fnet =sqrt(Fy^2 + Fx^2)
=sqrt(240.1^2 + 526.56^2)
=578.71 N
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