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A 0.4 kg mass m is rotating on a horizontal, frictionless surface, its motion constrained by a massless, inextensible string. The distance from the string's attachment point, O, to the mass is a constant. A tiny rocket in the mass exerts a constant thrust in the positive e direction with a magnitude of 1.2 N. l = 0.6 m, and the angular velocity is initially equal to 104rad/s. What is the tension in the string from t = 0 to y = 4s ?
There are three 18 mm diameter steel bolts that are attached to a plate. The plate can support up to a 110 KN load, and the ultimate shear stress is 360 MPa. Determine the factor of safety for the given design.
An equal-tangent crest vertical curve has a 50 mi/h design speed. The initial grade is +3%. The high point is at station 33+37.43 and the PVT is at station 37+18.26. What is the elevation difference between the high point and the PVT
What kind of soil labs are good for the construction which is underlying the wet clay is dense sand. For example, compaction, and so on.
Consider again the scenario above. Assume the water is static. Assume a datum at the water surface. a) What is the total head 5.0m below the river bed b) What is the pore water pressure at that level
An important dimensionless parameter in certain types of fluid flow problems is the Froude number defined as V/(gl)^1/2 where V is a velocity, g the acceleration of gravity, and l a length.
In using the Darcy-Weisbach equation for flow in a pressure conduit, what percentage error is introduced in Q when f is misjudged by 20 percent?
water flows at a velocity of 25 ft/s at a depth in a rectangular channel 16 feet wide. Determine the downstream depth necessary to form a hydraulic jump, the head loss through the jump and the horsepower dissipated in the jump.
A 20 kg box is on an upward inclined surface of 30 degrees from the floor. the velocity of the box is zero when it is subjected to a constant horizontal force F=30N. assuming the surface is smooth,
For a 30ft simply supported beam, there is a uniform load of 1.5 k/ft. along the length and two point loads of 20 kips each spaced at (from x=0 to x=30ft left to right) x=10ft and x= 20 ft.
The basic barometer can be used to measure the height of abuilding. If the barometric readings at the top and at the bottomof a building are 28.7 and 29.7 in Hg, respectively, determine the height of the building in feet.
Water is used in a heat exchange to cool 5 kg/s of air from 400 C to 200 C. Calculate (a) the minimum mass flux (kg/s) of the water and (b) the quantity of heat transferred (MJ) to the water each second.
If the time required to pay for parking is exponentially distributed with a mean of 15 seconds, find the average time in system.
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