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Calculate the problem in Example by using the Runge-Kutta computer program RUNGA (see Chapter 8).
Example
Use the digital computer to solve the problem of a spring-mass system excited by a triangular pulse. The differential equation of motion and the initial conditions are given as
[ 0.5x"+8Π2x=F(tx1=x'1=0) ]
The triangular force is defined in Figure.
Water flows at 0.855 m/s from a hot water heater, through a 450-kPa pressure regulator. The pressure in the pipe supplying an upstairs bathtub 3.70 m above the heater is 414-kPa. What's the flow speed in this pipe?
A magnetic field of 1.1 T is perpendicular to a square coil of 14 turns. The length of each side of the coil is 5 cm. Find the magnetic flux through the coil
Part A: What is the x-component of the combined momentum of the asteroids measured from platform Q?
A pendulum of length I = 2 in and mass m = 0.2 kg is swinging from the ceiling. The amplitude of the oscillation is θmax = 10 degrees. Compute the total force acting on the bob at the lowest point P of the trajectory Give magnitude and direction.
An ideal gas is compressed at constant pressure to one-half its initial volume. a)If the pressure of the gas is 150kPa , and 770J of work is done on it, find the initial volume of the gas.
A generator driven by a diesel engine that develops 12 hp delivers 28 A at 240 V. What is the efficiency of the generator
A swimmer swims in still water at a speed of 7.44 m/s. He intends to swim directly across a river that has a downstream current of 2.76 m/s. What is the velocity relative to the bank
A 5kg box is pushed across a level floor with a net force of 50 N in the direction of the displacement of 10m. What is the total work done on the box
(i) What population do you think the poll has in mind? (ii) In all, 831 people respond. What is the rate (percent) of nonresponse? (iii) What source of response error is likely for the question asked?
When a smooth constriction is installed across a flume, free surface level drops
A motorboat heads due east 13.3 m/s across a river that flows toward the south at a speed of 4.5m/s. Illustrate what is the magnitude of the resultant velocity relative to an observer on the shore?
a point charge 6q is located at the origin and a point charge -3q is located on the x-axis at d 0.447 m. at what
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