Consider a crank slider linkage that has a stroke length of 10 cm and a quick return ratio of 2/3. The crank angle for one of the extreme positions, where the slider is furthest from the ground along the horizontal axis, must be 30 degrees. 1. Design this linkage up to a scale. You must clearly label a. the crank angle in degrees at each of the two extreme positions (one is already given as part of the problem), and b. the offset of the slider from the ground. 2. If the crank is rotating at 1 rad/s, calculate the speed of the slider in cm/s when the crank angle is 45 degrees. Write this answer up to 2 decimal places without units in the response.