One way to convert rotational motion into linear motion and vice versa is via the use of a...

One way to convert rotational motion into linear motion and vice versa is via the use of a mechanism called the Scotch yoke, which consists of a crank C that is connected to a slider B via a pin A. The pin rotates with the crank while sliding within the yoke, which, in turn, rigidly translates with the slider. This mechanism has been used, for example, to control the opening and closing of valves in pipelines. Letting the radius of the crank be R = 25 cm, determine the angular velocity ωC and the angular acceleration αC of the crank at the instant shown if θ = 25° and the slider is moving to the right with a constant speed υB = 40 m/s.

Figure P6.79