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Given the steady-state solution below, identify the amplitude and phase shift. y = 3cos (21) +...
please find amplitude and freq
of the steady state solution
An 8-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 20 N/m and the damping constant is 2 N-sec/m. At time t= 0, an external force of 4 sin 2t cos 2t is applied to the system. Determine the amplitude and frequency of the steady-state solution.
S. y=-2+3sin( 21 ) Function 5 Key Point Period: Phase shift Amplitude: Vertical shift: Range:
Find the amplitude, period, and phase shift of the function. y = 2 sin(x - 1) amplitude period phase shift Graph one complete period. у 1 V 2x 2x -2 0-31 31 Graph one complete period. 2 2x 21 0-31 AN - 2
please help with part b
Amplitude, Period, and Phase Shift: From Function. Given a function f(x) = a sin(bx + c) or g(x) = a cos(bx + c), you have the following formulas: Amplitude = lal Period = 40 Phase Shift = -9 Determine the amplitude, period, and phase shift for the given functions: (a) f(x) = -6 sin(5x - 2) Amplitude = 6 Period Phase Shift = (b) f(x) - 4 sin(8 - 9xx) Amplitude Period = Phase Shift...
Determine the amplitude, period, and phase shift of the function. Graph the function. y= sin (4x -21)
Solve the IVP and use the result to find amplitude and the phase shift (in degree). y" +4 y = 0, y(0) = 1, y'(0) = -2 Amplitudes = (2)^0.5, phase shift = 135 Amplitudes = 2, phase shift = 135 Amplitudes = (2)^0.5, phase shift = 45 Amplitudes = (2)^0.5, phase shift = -45 A mass of 0.5 kg stretches a spring by 70 cm. The damping constant is c=2. External vibrations create a force of F(t) = 0.5...
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Exercise 1 Determine the amplitude, the frequency, the phase shift and the period of the motion given by u(t)3 cos(2)3 sin(2t) Hint: rewrite u into the form u(t) = Rcos(wt - 6) Exercise 2 A mass of 0.5 kg stretches a spring 49 cm. Suppose that the mass is also attached to a viscous damper with a damping constant 0.5 N -s/cm. If the mass is pulled down 5 cm below its equilibrium and then released,...
Determine the amplitude, period, and phase shift of the function Graph the function y - 2 sin(4x - x) The amplitude is (Simplify your answer.) The periodis (type an exact answer, using as needed. Use integers or tractions for any numbers in the expression) The phase shift is (Type an exact answer, using as needed Use integers or fractions for any numbers in the expression) Use the graphing tool to graph the function Click to - enlarge graph (For any...
given the equation of the function, find the requested information
3. y=5-2 sin Midline: Amplitude: Maximum: Minimum: Period: Phase shift: Domain: Range: 4. y = 4cos C) +3 Midline: Amplitude: Minimum: Maximum: Period: Phase shift: Domain: Range:
A mass weighing 4 kg stretches a spring by 6 centimeters. The damping constant is c-0.8 External vibrations create a force of FO 8 sin(50) kg. Find the steady-state solution and identify its amplitude and phase shift. 2,048 2,496 ゲー2.sas cos(5) + 2,545 sin(5) ゲー2.545 ゲisas cos(5) + 2.545 sin(5) ゲ2.545 2.048 cos(50- 2.545 2,496 2,545 sin(50 2,048 2,545 2,496 2.048 cos50- 2.545 2,545 A series circuit has an inductor of 1 henry, a resistor of 10 ohms and a...