At the instant theta=50degrees, the slotted guide is moving upward with an acceleration of 3 m/s^2 and a velocity of 2 m/s. Determine the angular acceleration and angular velocity of link AB at this instant. Note: The upward motion of the guide is in the negative y direction.

Draw the schematic diagram as shown in figure (1).

The basic trigonometric equation is used to calculate the distance y as follows: y =ABcosθ Here, length of the link is AB and angular displacement is θ. Calculate the distance y. y =0.3cosθ …… (1) Differentiate the equation (1) with respect to time. vy=−0.3sinθθ˙ …… (2) The angular velocity (ω) is 8.70 rad/s.