Question #16860

The weight on a vertical spring undergoes forced vibrations according to the following

equation:

x t

dt

d x

+ 4 = 8 sinw

2

2

where x is the displacement from the equilibrium position and w > 0 is a constant. If at

t = 0, x = 0 and , 0 =

=

dt

dx

v calculate (i) x as a function of t, and (ii) the period of the

external force for which resonance occurs.

equation:

x t

dt

d x

+ 4 = 8 sinw

2

2

where x is the displacement from the equilibrium position and w > 0 is a constant. If at

t = 0, x = 0 and , 0 =

=

dt

dx

v calculate (i) x as a function of t, and (ii) the period of the

external force for which resonance occurs.

Expert's answer

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