An l-shaped bracket lying in a horizontal plane supports a load p 5 150 lb (see gure). the bracket has a hollow rectangular cross section with thickness t 5 0.125 in. and outer dimensions b 5 2.0 in. and h 5 3.5 in. the centerline lengths of the arms are 5 20 in. 1b and b 5 30 in. 2 considering only the load p, calculate the maximum tensile stress s t , maximum compressive stress s c, and maximum shear stress t max at point a, which is located on the top of the bracket at the support.

Agroup of monkeys is trying to cross the river in a rowboat. the maximum buoyant force on the rowboat is 2,000 n. the weight of the rowboat is 1,000 n. each monkey has a weight of 150 n. how many monkeys can safely cross in the rowboat at one time? explain your reasoning, including any calculations you used to find the answer.

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?

"if the pressure acting on an ideal gas at constant temperature is tripled, its volume isa) reduced to one-third.b) increased by a factor of three.c) increased by a factor of two.d) reduced to one-half"