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At an angle of α=30°with the vertical, a 5kg sphere is suspended on a string of length .8m with a initial velocity of 1.2m/s, it colides with wedge B. ε=.7 between the .9kg wedge and sphere A. A spring is attached to wedge B at the opposite end from where the sphere collides with B and has k=500N/m, angle of wedge is θ=20° with the vertical. Find the velocity of sphere A and wedge B immediately after impact.
Estimate the steady state PM10 concentration assuming a PM10 deposition velocity of 0.12 cm/s, prevailing wind velocity of 2.5 m/s, and a constant emission flux of PM10 0.82 mg/m2-s.
Determine suitable footing dimensions to suit the bearing capacity of 100kPa with a factor of safety 2.4
A concrete mix with a 3 inch slump, w/c ratio of 0.50, and sand with a fineness modulus of 2.4 contains 1.700 lb/yd^3 of coarse aggregate. Compute the required weight of coarse aggregate per cubic yard.
A wastewater treatment plant must disinfect its effluent before discharging the waste water to a near-by stream. The wastewater contains 4.5x10^5 fecal coliform colony-forming units (CFU) per liter.
A 60 -m- long steel wire must not strech more than 48mm when the tension in the wire is 6 kn. Knowing that e-200GPa, determine (a)the smallestdiameter which may selected for the wire,(b)the corresponding value of the normal stress.
An offshore drilling rig is being towed out to sea. What is the maximum distance away that the navigation lights can still be seen by an observer standing at the shoreline
A box of mass M=500 kg hangs by a rope from a beam with dimensions a=2.0 m and b=3.0 m. The beam has mass m=85 kg. Find the tension T_c in the cable and the magnitude of the net force F exerted on the beam by the hinge.
The yield stress for A-36 is 250 MPa. Using factor of safety against yield of 1.25, determine an appropriately sized beam such that the radius of curvature is not less than 140m. E= 200 GPa, G= 77.2 GPa.
A satellite is launched 600 km from the surface of the earth, with an initial velocity of 8333.3 m./s, acting parallel to the tangent of the surface of the earth.
An isolated system contains an incompressible substance with heat capacity C = kT, where k is a constant. The system is initially divided in two parts, with 1/3 of the mass at T1 and 2/3 of the mass at T2.
The partial pressure of the gasses in a 22,414-L volume of air at STP are: oxygen, 21,224 kPa; nitrogen, 79,119 kPa; argon, 0.946 kPa; and carbondioxide, 0.036 kPa. Determine the gram molecular weight of air.
How many 34-inch diameter rivets are required to transmit 55,000 lb from the two angles to the gusset plate if the allowable shear stress in the rivets is 15,000 psi. Assume each rivet carries the same amount of load.
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