A block of mass m is connected to two springs of force con- stants k, and k, in two ways as shown in Figure P15.45. In both cases, the block moves on a frictionless table after it is dis- placed from equilibrium and released. Show that in the two cases the block exhibits simple harmonic motion with periods m(k, + k) and (b) T= 27 VA, + kg (а) Т%3D 2п k, kg a Figure P15.45
A block of mass m is connected to two springs of force con- stants k, and k, in two ways as shown in Figure P15.45. In both cases, the block moves on a frictionless table after it is dis- placed from equilibrium and released. Show that in the two cases the block exhibits simple harmonic motion with periods m(k, + k) and (b) T= 27 VA, + kg (а) Т%3D 2п k, kg a Figure P15.45
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Transcribed Image Text:A block of mass m is connected to two springs of force con-
stants k, and k, in two ways as shown in Figure P15.45. In both
cases, the block moves on a frictionless table after it is dis-
placed from equilibrium and released. Show that in the two
cases the block exhibits simple harmonic motion with periods
m(k, + k)
and (b) T= 27 VA, + kg
(а) Т%3D 2п
k, kg
a
Figure P15.45
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