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1.Determine the moment about the origin O of the force F = 4i - 3j + 5k that acts at a point A. Assume that the position vector of A is (a) r = 3i - 6j + 5k, (b) r = i - 4j - 2k, (c) r = -8i + 6j -8k
2.If arm OA rotates with a constant clockwise angular velocity of theta dot(first dirivatie)=1.5 rad/s. determine the force arm OA exerts on the smooth 4-lb cylinder B when theta=45 degrees.
3.If you invest $150,000,000 today at 5% interest, how long will you be able to receive a yearly annuity of $85,000?
A 900-mm strip of steel is bent into a full circle by two couples applied. Determine (a) the maximum thickness t of the strip if the allowable stress of the steel is 420 MPa, (b) the corresponding moment M of the couples.
Two chambers, A and B both have manometers with the same fluid with specific gravity 1.4. When h(sub a) = 6 cm and h(sub b) = 4 cm, what is the gage pressure in chamber A?
The cost of running this fleet is $325/hr per truck. For a given contract, a total of 2,500 tons must be removed from one construction site and moved to another location 35 miles away.
Find the expanded depth of the bed after the backwash when initial depth of the bed is 3 ft using given conditions. μ = 0.01g/cm/sec, T = 25oC, ρs = 2.65, ρ=1, washrate = 1.5 cm/sec, ks2 = 196. (Assumed single size)
Determine the minimum volume of concrete needed to keep the gate(1m wide) in a closed position, with l=2m. Note the hinge at the bottom of the gate.
Derive an equation for the reaction force (Rx) associated with conservation of momentum in a straight length of pipe of uniform diameter. Approximate the velocity as steady and uniform at each cross-section, and the fluid as constant density.
AGNO 3 is added to a solution containing 0.001 mol Cl - amd 0.001 mol Br- per liter.What are the concentrations of Cl - and Br- remaining when AgCl just begins to precipitate?
An object weighs 289.2N in air and 186.9N in oil of specific gravity is 0.75 find its volume and relative denesity
The pollutant has a reaction rate coeeficient k of 0.25/day. Assuming is pollutant is well mixed in the lake, find the steady-state concentration of pollutant in the lake.
A flat-belt idler pulley is molded from polystyrene with a bronze bushing. Knowing that the densities of polystyrene and bronze are 640 kg/m3 and 9100 kg/m 3, respectively, determine the x coordinate of the center of gravity of the pulley.
In a random pattern of eight bits used to test a micro-circuit, each bit is equally likely to be 0 or 1. Assume the values of the bits are independent. a. What is the probability that all eight bits are 1
A sphere L ft in diameter is moving horizontally at a depth of 12 ft below a water surface where the water temperature is 50°F. v max = 1.5 V0. where V0. is the free stream velocity and occurs at the maximum sphere width.
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