Consider a 1-in-square steel thin-walled tube loaded in torsion. The tube has a wall thickness t 5 1 in, is 36 in long, and has a maximum allowable shear stress of 12 kpsi. Determine the 16 maximum torque that can be applied and the corresponding angle of twist of the tube.

If a rock is thrown upward on the planet mars with a velocity of 12 m/s, its height (in meters) after t seconds is given by h = 12t − 1.86t2. (a) find the velocity of the rock after two seconds. m/s (b) find the velocity of the rock when t = a. 12−3.72a m/s (c) when will the rock hit the surface? (round your answer to one decimal place.) t = s (d) with what velocity will the rock hit the surface? m/s

Sort the images based on whether there's a force of attraction or repulsion between the magnets shown. attraction repulsion

Engines for propeller-driven aircraft are limited in their maximum rotational speed by the fact that the tip speed of the propeller must not approach the speed of sound in air (mach i). taking 6 ft as a typical diameter for a propeller of a light airplane and 1100 fils as the speed of sound, find the upper limit on the rpm (revolutions per minute) of the propeller shaft.