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A block having the mass m and the charge +Q is connected to an insulating spring having a force constant k. The block lies on a frictionless, insulating, horizontal track, and the system is immersed in a uniform electric filed of magnitude E directed away from the spring. The block is released from rest when the spring is unstretched (at x=0). We wish to show that the ensuing motion of the block is simple harmonic. Call the initial configuration of the system that existing just as the block is released from rest. The final configuration is when the block momentarily comes to rest again. What is the value of x when the block comes to rest momentarily?
An overpass is being built over the PVI of an existing equal tangent sag curve. The sag curve has a 70 mi/h design speed, and G1 = -6%, G2 = +3%.
a 3200-lb car (Cd = 0.35, Af = 25ft^2, and p= 0.002378 slugs/ft^3) has 14-inch-radius wheels, a drivetrain efficiency of 93%, an overall gear reducation ratio of 3.2 to 1, and drive axle slippage of 3.5%. the engine develops a maximum torque of 21..
A saturated sample of clay with an sl 20 has a natural water content of 32%. What would its dry volume be as a percentage of its original volume of Gs.= 2.67.
a low broad crest weir is installed in a wide, rectangular channel to reduce the flow velocity. the channel is 60ft wide, the channel slope is 1 to 2000. Manning's roughness coefficient n=0.014. the discharge per unit channel width is q=60 cfs/ft.
Given simply supported beam with an overhang. The beam is 12 inches wide by 24 inches deep, and the slab is 6 inches deep. use a roof live load of 20 psf, and a concrete density of 150 pdf. the beams are spaced 15 feet apart.
Find the angular velocity and angular acceleration needed to keep the prisoner in the beam of the spot light at the moment when the prisoner is 4000 ft away from the spot light.
Explain how the presence of the collimation error, e, can be detected in a "Two Peg Test" operation.
A condition where there are no net external forces acting upon a particle or rigid body and the body remains at rest. ... forces acting upon a particle or rigid body and the body remains at rest or continues at a constant velocity.
Estimate the size of a uniform, horizontal welded-steel pipe installed to carry 14.0 ft^3/sec of water 20 degreesC. The allowable pressure loss resulting from friction is 17ft/mi of pipe length.
If the Greenshields model describes the relationship between speed and density on the highway, the jam density of the highway is 112 veh/mi, and the mean free speed is 64.5 mph,
Does the presence of Mg2+ significantly interfere with the determination of Ca 2+ by the EDTA titration?
Footings for a structure are to be built beneath a basement slab on a clay soil at a depth of 20 ft below present ground level. The groundwater table is 15ft below the ground surface. The soil void-ratio is about 0.087.
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