Consider the window crank below - note that it's components are not necessarily orthogonal Given the following: lies in the yz plane lies in the xy plane The angle between and the x-axis is = 19 is parallel to the z-axis Length of = 2.1 cm Length of = 2.1 cm Length of = 1.05 cm = 29 Matlab input: t = 19; a = 29; ab = 2.1; bc = 2.1; cd = 1.05; Determine the position vector, , from to:

You have been hired to design a spring-launched roller coaster thatwill carry two passengers per car. the car goes up a 10-m highhill, then descends 15m to the track's lowest point. you'vedetermined that the spring can be compressed a maximum o 2.0m andthat a loaded car will have a maximum mass of 400kg. for safetyreasons, the spring constant should be 10% larger than the minimumneeded for the car to just make it over the top. a) what spring constant (k) should you specify ? b) what is the maximum speed of a 350 kg car if the spring iscompressed the full amount.