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1.Find the absolute value of the magnitude of force vector B if the resultant force= 1000 lb, force vector A= 1000 lb, and the resultant forms a 45 degree angle with B, and vector B runs parallel to the y axis. Also find the angle in degrees between vector A and the resultant.
2.A particle is moving with a velocity of Vo when s=0 and t=0. If it is subjected to a deceleration of a = (-K)v^3, where K is a constant, determine its velocity and position as functions of time.
3.The acceleration of a particle traveling along a straight line is a=(1/4)s^1/2 m/s^2, where s is in meters. If v=0, s=1 m when t=0, determine the particle's velocity at s=2m
air flows through a horizontal iron tube (e=0.15m) at Q=5.7x10-2 m3/s. find the pipe diameter if the pressure drop is 3.5kPa per 30.5m of pipe. air density = 1.23kh/m3 dynamic vicosity = 1.79 x 10-5 N.s/m2)
The specifications for a project specify that the in-situ soil must be compacted to 98% of its maximum Modified Proctor Density. What is the range of water contents of the in-situ soil that will meet this criteria?
A cutting 9 m deep is to be excavated in saturated clay of unit weight 19 kN/m3. The design shear strength parameters are cu = 30 kN/ m2 and fu = 0. A hard stratum underlies the clay at a depth of 11 m below ground level.
The speed limit for a highway is given as "V" in mph. The highway super elevation is given as "e" in ft/ft. The friction between tires and wet pavement is given as "f".
Compute and compare the hydraulic conductivity (m/s) of a formation with respect to the three liquids below. The formation has a permeability k = 0.1 darcy and g = 9.8 m/s2.
A rectangular channel is to carry 200 cfs. The mean velocity must be greater than 2.5 fps. The channel bottom width should be about twice the channel depth. Find the channel cross section and the required channel slope.
a particle of mass 200kg is lifted up vertically by a force of 104n. assuming the acceleration due to gravity is
A 30mm pipe X 460mm rectangular duct carries air. What size square conduit is needed to transport 4m cube per sec of water at a distance of 45m and head loss of of 1.08m.
the recommended threshhold limit value ( TLV-ACGIH) air concentration for occupational exposure to water-insoluble hexavalent chromium Cr (VI) is 0.01 mg/M^3. this concentration is based on an assumption that the individual is generally healthy an..
7 g helium at 50 kPa and 200 K (ideal gas, M = 4, k = 5/3) are compressed polytropically in a quasistatic process with pv1.8 to 600 kPa. find the final temperature of helium. find the work and heat interactions
A Charpy V Notch test was conducted for an ASTM A572 Grade 50 bridge steel. the average values of the test results at four different test temperatires were found to be
A beryllium copper wire having diameter of 1-50 mm and length of 40mm is used as a small torsion bar in an instrument. determine what angle of twist would result in the wire when it is stressed to 250 mpa.
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