Question

Given the undamped spring/mass system

The weight is 8 N (Newtons)

The spring constant is 100 N/m

The length of the spring is 2 m.

At t=0, the spring is compressed 0.5 m, making the length 1.5 m.

Down is the positive direction

A)Determine the frequency of oscillations of the mass? (Include
units) **maximum_displacement**=

B)Determine the equilibrium position including units of the
spring with the mass attached (if the mass is not moving.)
**Equalibrium_position**=

C)What is the restoring force of the spring at length 3.15 m?
**Restoring_force**=

Answer #1

Consider an undamped spring with spring constant k = 9N/m and
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F(t) = sin(3t/2). Solve the IVP for the position of the mass x(t)
with the string initially at rest at the equilibrium (so x(0) = 0
and ˙x(0) = 0). (Hint: Guess a particular solution of the form Ct
cos(3t/2) and find the constant C.)

A 0.24 kg mass is attached to a light spring with a force
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b) speed of the oscillating mass when the spring is compressed
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(c) speed of the oscillating mass as it passes the point 1.5 cm
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(d) value of...

A 0.58 kg mass is attached to a light spring with a force
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frictionless surface. If the spring is stretched 5.0 cm and
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(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
cm
m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm
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m/s...

A 0.68 kg mass is attached to a light spring with a force
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frictionless surface. If the spring is stretched 5.0 cm and
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(a) maximum speed of the oscillating mass
m/s
(b) speed of the oscillating mass when the spring is compressed 1.5
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(c) speed of the oscillating mass as it passes the point 1.5 cm
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PART A: Find the angular frequency of the oscillations. Express
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PART B: Determine the amplitude of the oscillations. Express
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In an undamped mass-spring system, a metal ball of weight 20nt
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(1) What will the frequency of the resulting harmonic
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(2) If this system is undamped and it is stretched by 20cm again
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A 3.70 kg mass is attached to a spring with a spring constant of
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. It is initially
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A)
What is the angular frequency for this oscillator?
B)
What is the time period for one oscillation for this
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C)
Draw out the motion of the oscillator on the graph at the top of
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6) A mass of 3 kg is attached to a massless spring with
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A block of mass m = 0.53 kg attached to a spring with force
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The left end of a horizontal spring is attached to a vertical
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Express your answer in meters per second squared.
B)Find the maximum force the spring exerts on the block.
Express your answer in newtons.

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