3. A helical spring of stiffness k is cut into two halves and a mass m is connected to the two halves as shown in (a). The natural time period of this system is found to be 0.5 s. If an identical spring is cut so that one part is one-fourth and the other part three-fourths of the original length, and the mass m is connected to the two parts as shown in (b), what would be the natural period of the system? 00000 (a) (b) A. 0.333 s B. 0.433 s C. 0.533 s D. 0.633 s

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3. A helical spring of stiffness k is cut into two halves and a mass m is connected to the two halves as shown
in (a). The natural time period of this system is found to be 0.5 s. If an identical spring is cut so that one
part is one-fourth and the other part three-fourths of the original length, and the mass m is connected to
the two parts as shown in (b), what would be the natural period of the system?
m
(a)
(b)
A. 0.333 s
B. 0.433 s
C. 0.533 s
D. 0.633 s
Transcribed Image Text:3. A helical spring of stiffness k is cut into two halves and a mass m is connected to the two halves as shown in (a). The natural time period of this system is found to be 0.5 s. If an identical spring is cut so that one part is one-fourth and the other part three-fourths of the original length, and the mass m is connected to the two parts as shown in (b), what would be the natural period of the system? m (a) (b) A. 0.333 s B. 0.433 s C. 0.533 s D. 0.633 s
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