A test track for automobiles has a portion with a specific profile described by y = h (1 - cos ( / )) W where h = 0.20 m and w= 2 m, and where the argument of the cosine function is understood to be in radians. A car travels in the positive x direction with a constant x component of velocity equal to 100 km/h. Modeling the car as a point moving along the given profile, determine the velocity and acceleration (expressed in m/s and m/s, respectively) of the car for x = 22 m. y x The velocity of the car is ( + }) m/s. The acceleration of the car is 11 + ]}) m/s. Required information A load P is supported as shown by a steel pin that has been inserted in a short wooden member hanging from the ceiling. The ultimate strength of the wood used is 60 MPa in tension and 7.5 MPa in shear, while the ultimate strength of the steel is 145 MPa in shear. The diameter of the pin is d = 18 mm and the magnitude of the load is P = 20 kN. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. P -40 40 mm P Determine the factor of safety for the pin. The factor of safety for the pin is A steel loop ABCD of length 5 ft and of -in. diameter is placed as shown around a 1-in.-diameter aluminum rod AC. Cables BE and DF, each of 1 -in. diameter, are used to apply the load Q. Knowing that the ultimate strength of the steel used for the loop and the cables is 76 ksi, and that the ultimate strength of the aluminum used for the rod is 45 ksi, determine the largest load Q that can be applied if an overall factor of safety of 3 is desired. 12 in. 40 E =B 12 in. 9 in. 1 in. C 9 in. F D 1801 in 3|80 in. Q' The largest load Q that can be applied is kips.