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A mass weighing 4 pounds stretches a spring 2 feet and an impressed force f(t) = e-4tt2 acts on the system for 0 ≤ t < ∞. The medium offers a damping force that is numerically equal to the instantaneous velocity. If the weight is released from rest 18 inches above the equilibrium position and the damping forces neglected, then
(a) Specify the second order DE as an IVP which describe the above mass-spring system.
(b) Use Laplace transform to solve the IVP and find the position of the mass at any time t.
The load across a 50.0-V battery consists of a series combination of two lamps with resistances of 125 and 225. Discover the current in the circuit. Discover the total resistance of the circuit
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Imagine you insert a modulator in one of the slits that can change the phase of the radiation in that slit. what sort of intensity pattern would you expect to observe
Sound enters the ear, travels through the auditory canal, and reaches the eardrum. The auditory canal is approximately a tube open at only one end. The other end is closed by the eardrum. A typical length for the auditory canal in an adult is abou..
a how much energy is stored in a 11.2 mh inductor carrying a 1.50a current?b how much current would the inductor
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a 5,48 kg ice skater is moving at 3.94 m/s when she grabs the looseend of a rope, What is the ratio of this force to her weight
Electromagnetic waves and sound waves can have the equal frequency. Find the wavelength of a 1.20 kHz electromagnetic wave
A 123-kg care package with a parachute is dropped from an airplane and reaches a terminal speed of 5.00 m/s, What is the rate of work done by the air resistance
a simple atwoods machine uses two masses m1 and m2. starting from rest the speed of the two masses is 9.0 ms at the end
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