(Solved):
The crank AB has a constant angular velocity . (Figure 1) Figure 1 of 1
Determine the velocity ...
The crank AB has a constant angular velocity ?. (Figure 1) Figure 1 of 1
Determine the velocity of the slider at C as a function of ?. Suggestion: Use the x coordinate to express the motion of C and the ? coordinate for CB.x=0 when ?=0?. Express your answer in terms of the variables b,l,?, and ?. Enter the arguments of trigonometric functions in parenthesis. Part B Determine the acceleration of the slider at C as a function of ?. Suggestion: Use the x coordinate to express the motion of C and the ? coordinate for CB.x=0 when ?=0?. Express your answer in terms of the variables b,l,?, and ?. Enter the arguments of trigonometric functions in parenthesis. Enter the powers of trigonometric functions using parenthesis, e.g. (sin(?))3,(cos(?))4, etc.
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.