1) The lower portion of a fire ladder (OA) rotates about the hinge at O at a rate of 0.05 rad/s. The angular acceleration of OA is 0.04 rad/s². At the same time, the upper portion (AB) extends out from the lower portion at a velocity of 0.4 m/s and an acceleration of 0.1 m/s². The length of OA is 6 m and the length of AB is 2m. a) Calculate the velocity and acceleration of point B with respect to O. Keep your work in polar coordinates. b) Transform your solutions from Part (a) to Cartesian coordinates if 0 = t/6. A В

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Chapter1: Units, Trigonometry. And Vectors
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1) The lower portion of a fire ladder (OA) rotates about the hinge at O at a rate of 0.05 rad/s. The
angular acceleration of OA is 0.04 rad/s?. At the same time, the upper portion (AB) extends out from
the lower portion at a velocity of 0.4 m/s and an acceleration of 0.1 m/s?. The length of OA is 6 m
and the length of AB is 2m.
a) Calculate the velocity and acceleration of point B with respect to O. Keep your work in polar
coordinates.
b) Transform your solutions from Part (a) to Cartesian coordinates if 0 = /6.
А
Transcribed Image Text:1) The lower portion of a fire ladder (OA) rotates about the hinge at O at a rate of 0.05 rad/s. The angular acceleration of OA is 0.04 rad/s?. At the same time, the upper portion (AB) extends out from the lower portion at a velocity of 0.4 m/s and an acceleration of 0.1 m/s?. The length of OA is 6 m and the length of AB is 2m. a) Calculate the velocity and acceleration of point B with respect to O. Keep your work in polar coordinates. b) Transform your solutions from Part (a) to Cartesian coordinates if 0 = /6. А
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