Question
Asked Jul 18, 2019
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The crank OA rotates in the vertical plane with a constant clockwise angular velocity wo of 2.0 rad/s. For the
position where OA is horizontal, calculate the force under the light roller B of the 13.9-kg slender bar AB.
0.30 m
0.86 m
0.64 m
Answer: FB
N
i
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The crank OA rotates in the vertical plane with a constant clockwise angular velocity wo of 2.0 rad/s. For the position where OA is horizontal, calculate the force under the light roller B of the 13.9-kg slender bar AB. 0.30 m 0.86 m 0.64 m Answer: FB N i

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Expert Answer

Step 1

Consider the clockwise sense of rotation as positive and write the expression for magnitude of velocity of point A which will be directed downwards. Further, substitute suitable values to evaluate the same as:

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4(OA) -2.0 rad/s (0.30 m) =0.60 m/s

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Step 2

Now, consider the Instantaneous center of the bar AB as an arbitrary point C as shown in the figure. Write the expression for magnitude of angular velocity of the bar which will be in clockwise. Further, substitute suitable values to evaluate the same as:

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A AB AC 0.60 m/s 0.86 m)-(0.64 m) 1.04 rad/s

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Step 3

Since the crank is rotating with constant angular velocity, point A will only experience radial component of acceleration directed towards point O. Write the ex...

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(1.04 rad/s) (0.30 m) 0.32 m/s2

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