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(Solved): The crank AB has a constant angular velocity . (Figure 1) Figure 1 of 1 Determine the velocity ...



The crank \( A B \) has a constant angular velocity \( \omega \).
(Figure 1)
Figure
1 of 1Determine the velocity of the slider at \( C \) as a function of \( \theta \). Suggestion: Use the \( x \) coordinate to expr

The crank has a constant angular velocity . (Figure 1) Figure 1 of 1 Determine the velocity of the slider at as a function of . Suggestion: Use the coordinate to express the motion of and the coordinate for when . Express your answer in terms of the variables , and . Enter the arguments of trigonometric functions in parenthesis. Part Determine the acceleration of the slider at as a function of . Suggestion: Use the coordinate to express the motion of and the coordinate for when . Express your answer in terms of the variables , and . Enter the arguments of trigonometric functions in parenthesis. Enter the powers of trigonometric functions using parenthesis, e.g. , etc.


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To determine the velocity of the slider at point C, we can first find the position of point C as a function of time. Let CB be the perpendicular distance from point B to the horizontal line passing through point A, and let the angle between the crank and AB be ?. Then, the position of point C can be expressed as:

     
where ? is the angle between the slider and the horizontal line passing through point A.
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