Calculate the acceleration when the displacement equals one third of the maximum value A 2.20 kg mass is attached to a spring and placed on a horizontal, smooth surface. A horizontal force of 22.7 N is required to hold the mass at rest when it is pulled 0.205 m from itsequilibrium position (the origin of the x axis). The mass is now released from rest with an initial displacement of xi0.205 m, and it subsequently undergoes simple harmonic oscillations.

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Asked Nov 25, 2019
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Calculate the acceleration when the displacement equals one third of the maximum value
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Calculate the acceleration when the displacement equals one third of the maximum value

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A 2.20 kg mass is attached to a spring and placed on a horizontal, smooth surface. A horizontal force of 22.7 N is required to hold the mass at rest when it is pulled 0.205 m from its
equilibrium position (the origin of the x axis). The mass is now released from rest with an initial displacement of xi
0.205 m, and it subsequently undergoes simple harmonic oscillations.
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A 2.20 kg mass is attached to a spring and placed on a horizontal, smooth surface. A horizontal force of 22.7 N is required to hold the mass at rest when it is pulled 0.205 m from its equilibrium position (the origin of the x axis). The mass is now released from rest with an initial displacement of xi 0.205 m, and it subsequently undergoes simple harmonic oscillations.

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Expert Answer

Step 1

The external force  must exactly balance the spring force  to hold the object at rest on a frictionless surface,

k
х
22.7 N
0.205
110.73 N/m
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k х 22.7 N 0.205 110.73 N/m

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Step 2

The frequency of osc...

о
f
2л
11
k
1
2л V
т
1 110.73N/m
2л 2.20kg
=1.129 Hz
о - 2л (1.129Hz)
— 7.09гad/s
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о f 2л 11 k 1 2л V т 1 110.73N/m 2л 2.20kg =1.129 Hz о - 2л (1.129Hz) — 7.09гad/s

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