area covered by the chemical retardant and weight of crate

1) In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft. Find the area covered by the chemical retardant.

2) The chemical retardants are freight shipped from a warehouse. A shipping crate that weights 450 kilograms is placed on a loading ramp that makes an angle of 30 degrees with the horizontal. Find the magnitude of the components of the crate's weight perpendicular and parallel to the incline.

Solution Summary

Supplemented with graphs, the first part explains how to find the isosceles triangle area covered by the chemical retardants in a mountain community. The second part explains the perpendicular and parallel weights of the crate, which is placed on an incline.

A 33 kg crate rests on a horizontal floor, and a 77 kg person is standing on thecrate.
(a) Determine the magnitude of the normal force that the floor exerts on thecrate.
(b) Determine the magnitude of the normal force that thecrate exerts on the person.

Researchers at the National Interagency Fire center in Boise , Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States . In an effort to dispatch firefighters for containment , scientists and meteologists attempts to forecast

See attached figure.jpg
The mechanism shown in the figure is used to raise a crate of supplies from a ship's hold. Thecrate has total mass 56 kg. A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.20 m and a moment of inertia = 3.0 kg*m^2 about the axle. Thecrate is suspended

18. the leg and cast in picture (attached) weigh 220N (w1)
Determine theweight w2 andthe angle needed so that no force is exerted on the hip joint by the leg plus the cast.
41. The coefficient of static friction between a 3.00 kg crateandthe 35.0 degree incline it sits on is 0.300. What minimum force (F) must be appl

A crate is resting on a ramp that is inclined at an angle above the horizontal. As it increased, thecrate remains in place until it reaches a value of 29.2°. Then thecrate begins to slide down the slope.
(a) Determine the coefficient of static friction between thecrateandthe ramp surface.
(b) The coefficient of kinet

A crate is resting on a ramp that is inclined at an angle 0(thada) the horizontal.As 0(thada) is increased, thecrate remains in place until 0(thada)reaches a value of 38.0 degrees. Then thecrate begins to slide down the slope. (a) Determine the coefficient of static friction between thecrateandthe ramp surface. (b) The coef

A 50 kg crate slides down a 6 m ramp inclined at an angle of 35 degrees to the horizontal. A worker pushes on thecrate parallel to the ramp so that it slides down with a constant velocity. If the coefficient of kinetic friction is .33
a) Write equations of motion for the system
b) Solve for the force exerted by the worker

SEE ATTACHMENT #1 for a diagram showing parameters.
A crate rests on a truck which is traveling at speed V= 26 m/sec down a hill inclined at angle b= 8 degrees. The coefficient of friction between crateand truckbed is f= .50.
Find the shortest stopping distance such that thecrate does not slide forward.

I'm having a hard time understand how to solve these problems. The textbook provides the answers. But I need help understanding the step to get to the answer. Also, some of the images maybe be slightly misfigured. I had a hard time cut and pasting the images. If possible please provide diagrams on how you got the solutions. Than