When two six-sided die are rolled, the probability of getting a one on both is 1/36. this means that a) the odds against both die being one are 36 to 1. b) in the long run, the average number of ones is 1/36. c) in the long run the outcome that both die are one will occur on 1/36 of all rolls. d) of every 36 rolls, exactly 1 will have both die be one.

The force on a cutting tool are 2600n vertically downward and 2100 horizontal. determine the resultant force acting on the tool and the angle at which it acts.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

The higher the astm grain size number, the finer the gran is. a)-true b)-false