Physics, 02.04.2020 01:53 tammydbrooks43
A hydraulic cylinder causes the distance between points A and O to decrease at a constant rate of 3 inches per second. a) Determine the speed of the slider when the support bar [OB] orientation angle, theta , is 55 degrees. b) Determine the velocity vector of the center of the bar [ABC] when , theta = 50° .
Answers: 1
![v_{C} =v_{A}+w_{AC}*r_{C/A}\\v_{Ci}=-3j+\left[\begin{array}{ccc}i&j&k\\0&0&w_{AC} \\6.883&-9.829&0\end{array}\right]\\v_{Ci}=-3j+(0+9.829w_{AC} i-(0-6.883w_{AC})j\\v_{Ci}=9.829w_{AC}i+(-3+6.883w_{AC})j](/tpl/images/0576/9347/6e557.png)
![v_{C}=v_{A}+w_{AC}r_{C/A}\\v_{C}=-3j+\left[\begin{array}{ccc}i&j&k\\0&0&w_{AC}\\7.713&-9.192&0\end{array}\right] \\v_{Ci}=-3j+(9.192w_{AC})i+7.713w_{AC}j\\v_{Ci}=9.192w_{AC}i+(7.713w_{AC}-3)j](/tpl/images/0576/9347/5bf9e.png)
![v_{B}=v_{C}+w_{AC}r_{B/C}\\v_{B}=3.57i+\left[\begin{array}{ccc}i&j&k\\0&0&0.388\\-3.856&4.59&0\end{array}\right] \\v_{B}=3.57i+(0-1.78)i-(0+1.499)j\\v_{B}=1.787i-1.499j\\|v_{B}|=\sqrt{1.787^{2}+1.499^{2} } =2.33in/s](/tpl/images/0576/9347/2b4a3.png)
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A hydraulic cylinder causes the distance between points A and O to decrease at a constant rate of 3...
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