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1. Use Maple to solve Problem 18, and create an animation of the solution.
Problem 18
The wind is blowing over some suspension cables on a bridge, causing a force that is approximated by the function 0.02 sin 21πt. Is resonance possible if the force in the cable is 40 000 N, the cable has a mass of 10 kg/m, and it is 15 m long?
2. Use Maple to solve Problem 19, and create an animation of the solution.
Problem 19
A circular shaft π m long is fixed at both ends. The middle of the shaft is twisted through an angle α, the remainder of the shaft through an angle proportional to the distance from the nearest end, and then the shaft is released from rest. Determine the subsequent motion expressed as θ(x,t). Problem 4 of Section 8.2 gives the appropriate wave equation.
jet engine cowlings use 5 micrometer diameter whisker filaments of sic that are coated in 3 micrometer of aluminum
a gasket that seals fuel reservoirs for the space shuttle can be modeled by the following differential equationmd2ydt2
Based on electricity cost, recommend the better choice between the two alternatives and a suitable refrigerant. Other than electricity cost, what additional factors should the manager consider in making a final selection? Prepare a written report ..
A dragster comes off the start line with an acceleration of 4 m/s2. The acceleration increases uniformly from 4 m/s2 to 10m/s2 over 3 seconds, then remains constant to the finish line (500m). Find: a) the acceleration as a function of time (make a gr..
a raindrop of mass 3.36 10-5 kg falls vertically at constant speed under the influence of gravity and air resistance.
Find the horizontal force on the door when it has swung through 90?.
Find the moment of inertia and natural frequency of a vertical cantilever pipe 12 feet tall with outer diameter of 4.5 inches and an inner diameter of 4.25 inches.
car b turns such that its speed is increased by at0.5et ms2 where t is in sec. if the car starts from rests when theta0
the length of the assembly shown decreases by 0.40mm when an axial force is applied by means of rigid end plates.
a frictionless piston-cylinder device and a rigid tank initially contain 12kg of an ideal gas each at the same
A US Department of Energy article states that a leak of one drip of hot water per second can cost $1.00 per month. Making reasonable assumptions about drop size and unit cost of energy, determine if this claim is reasonable.
A steam power plant operates between the pressure limits of 4.5MPa and 15kPa. Steam enters the pump as saturated liquid and leaves the turbine as saturated vapor. Determine the ratio of the work delivered by the turbine to the work consumed by the pu..
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