Find the direction cosines of a vector
Find the angle between the position vectors to the points (3, -4, 0) and (-2, 1, 0), and find the direction cosines of a vector perpendicular to both.
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A has a mass of 5kg and B has a mass of 7 kg. The coefficient of friction action on A is 0.325. Use conservation of enrgy to calculate the velocity of the masses after B starting from rest has fallen a distance of 1.65 m.
A circular tube of outer diameter 5 cm and inner diameter 4 cm is used to convey hot fluid. The inner surface of the wall of the tube is at a temperature of 800C, while the outer surface of the wall of the tube is at 250C.
What are the vectors joining the atom at .25*A*(i+j+k) to its four nearest neighbors? Determine the angle between the carbon bonds in a diamond.
Estimate the rate (in gal/hr) that your car uses gasoline when it is being driven on an interstate highway. Determine how long it would take to empty a 12-oz soft drink container at this flowrate.
A 300 Ib force acts on the bracket as shown in the figure below. Find the moment it produces about point A using scalar methods. Express your answer in terms of the magnitude and sense of rotation of the moment.
Determine a set of (non-orthogonal) base vectors a = j + k, b = i + k, and c = i + j. (a) Establish their reciprocal vectors and hence express the vectors p = 3i - 2j + k, q = i + 4j, and r = -2i + j + k in terms of the base vectors a, b, and c.
A perfect gas flows through an insulated passage with no shaft work. The entering conditions are T1 = 290 K,P1 = 350 kPa, and V1 = 200 m/s. What is the ratio of the exit diameter to inlet diameter?
Diameter spaced longitudinally every 6 in. knowing that the average allowable shearing stress in the bolts is 10.5 ksi determine the largest allowable vertical shear in the beam.
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