An extension of 2.5 cm is produced when a mass is hung from the lower end of a light helical spring which is fixed at the top end. and to which Hooke's law may be assumed to apply. If the mass is depressed slightly and then released, show that the vertical vibra- tions executed are simple harmonic and calculate their time period. Ifthe mass of the spring is taken into account, the oscillating mass M may be considered increased to (M + m). Give reasons why wa is less than the actual mass of the spring and describe an experiment in which a series of known masses is used to determine the value of m.

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An extension of 2.5 cm is produced when a
mass is hung from the lower end of a light
helical spring which is fixed at the top end.
and to which Hooke's law may be assumed to
apply. If the mass is depressed slightly and
then released, show that the vertical vibra-
tions executed are simple harmonic and
calculate their time period.
Ifthe mass of the spring is taken into account,
the oscillating mass M may be considered
increased to (M + m). Give reasons why wa is
less than the actual mass of the spring and
describe an experiment in which a series of
known masses is used to determine the value
of m.
Transcribed Image Text:An extension of 2.5 cm is produced when a mass is hung from the lower end of a light helical spring which is fixed at the top end. and to which Hooke's law may be assumed to apply. If the mass is depressed slightly and then released, show that the vertical vibra- tions executed are simple harmonic and calculate their time period. Ifthe mass of the spring is taken into account, the oscillating mass M may be considered increased to (M + m). Give reasons why wa is less than the actual mass of the spring and describe an experiment in which a series of known masses is used to determine the value of m.
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