Question

3. A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10 sin(t/2) N (newtons) and moves in a medium that imparts a viscous force of 2 N when the speed of the mass is 4 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 3 cm/s, formulate the initial value problem describing the motion of the mass. Then (a) Find the general solution (b) Identify the transient and steady state parts of the solution. (c) Plot the graph of the steady state solution. (d) If the given external force is replaced by a force of 2 cos ωt of frequency ω, find the value of ω for which the amplitude of the forced response is maximum. please show all work and explain

Answer #1

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A spring-mass system has a spring constant of 3 Nm. A mass of 2
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R=
ω=
δ=

A spring-mass system has a spring constant of 3 N/m. A mass of 2
kg is attached to the spring, and the motion takes place in a
viscous fluid that offers a resistance numerically equal to the
magnitude of the instantaneous velocity.
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(c) Verify...

A mass of 3 kg stretches a spring 61.25 cm. Supposing that there
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Write down the...

A mass of 0.500 kg stretches a spring 20.0 cm. Find the force
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2- Elevator problem with scale (no mass of elevator given). Find
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A 5 kg object is attached to a spring and stretches it 10cm on
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A
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kg is attached to the end of the spring and is released from a
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velocity of 8 meters per second. What is the equation of
motion?
Please solve using Differential equations

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