anonymous
  • anonymous
In the figure, a thin horizontal bar AB of negligible weight and length L = 3.8 m is hinged to a vertical wall at A and supported at B by a thin wire BC that makes an angle θ = 28° with the horizontal. A block of weight W = 190 N can be moved anywhere along the bar; its position is defined by the distance x = 3.02 m from the wall to its center of mass. Find (a) the tension in the wire, and the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
I'm kinda confused because the problem doesn't give the weight of the beam or Idk if it is needed so pls help
ganeshie8
  • ganeshie8
a thin horizontal bar AB of `negligible weight `

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ganeshie8
  • ganeshie8
you may assume the weight of beam is 0
ganeshie8
  • ganeshie8
Observe that the system is in equilibrium. So the net torque about any point must be 0
ganeshie8
  • ganeshie8
|dw:1449387069647:dw|
ganeshie8
  • ganeshie8
Add up the torques about the point A, and set it equal to 0
anonymous
  • anonymous
Oh so that's what negligible mean
ganeshie8
  • ganeshie8
Yes
anonymous
  • anonymous
okay will answer, I will use that leftmost part of the beam as the pivot point. Good?
ganeshie8
  • ganeshie8
Yes
anonymous
  • anonymous
T = 321.64 ?
ganeshie8
  • ganeshie8
Yep! http://www.wolframalpha.com/input/?i=solve+-3.02*190+%2B+3.8*T*sin%2828%29%3D0&a=*C.T-_*Variable-&a=UnitClash_*T.*Teslas.dflt--&a=TrigRD_D
ganeshie8
  • ganeshie8
|dw:1449388412711:dw|
ganeshie8
  • ganeshie8
for part b, add up the horizontal componenets of all the forces and set it equal to 0
anonymous
  • anonymous
Hmmm I'm a bit confused but wait lemme figure it out
anonymous
  • anonymous
can you pls guide me for b?
anonymous
  • anonymous
hmmm
anonymous
  • anonymous
|dw:1449388750089:dw|
anonymous
  • anonymous
do I have to get the opposite and adjacent?
anonymous
  • anonymous
or nah im a bit confused
ganeshie8
  • ganeshie8
Right, split T into horizontal and vertical components
ganeshie8
  • ganeshie8
\[N_h - T\cos(28)=0\] substitute the value of \(T\) and solve \(N_h\)

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