Problem 1. A diving board is made of aircraft aluminum alloy (Young's Modulus is 69 GPa, density of aluminum alloy 2700\text{kg/}{{\text{m}}^{\text{3} }}2700kg/m 3 ) with the dimension of 16 feet long, 20 inches wide, and 1 5/8 inch high. The fulcrum point is located at 8 feet from the tip. 1) Find the equation of motion of the system. Hint: treat the diving board to be a cantilever beam clamped at the fulcrum point. State the assumption(s) used to derive the solution, and discuss if the assumption is valid. What error results from the assumption(s) made

Which statement best explains why an object weight less on mercury than it does on earth

1. consider the case in which air fills air shocks on a truck trailer. the pressure in the shocks is 2 mpa. the temperature is 300 k. the diameter of the shock piston is 10 cm and the initial length of the cylindrical cavity containing the compressed air is 40 cm. a. the truck is gradually loaded over a period of a day in a static setting. the temperature is held constant for the atmosphere and thus for the gas shock. calculate the compressibility of the air in the shock for this condition when the truck is initially being loaded. b. if the shocks were loaded in a dynamic setting by driving over bumps, what would be the compressibility? state your assumption. c. what is the initial load on the shock if the shock is in an atmospheric 100 kpa? d. if the shock is compressed using the process described in part a, and the air shock compressed air cavity length decreases to 20 cm, what is the additional load applied to the shock?

The slope of a velocity time graph over any interval of time gives the during that interval