decrease by a factor of.
- D The period of a spring–block simple harmonic oscillator is
independent of the value of g. (Recall that T = .) Therefore, the period
will remain the same.
- A The only equation that gives x = 6 when t = 0 is the one in (A).
7. B The period of the spring-block simple harmonic oscillator is given by
the equation T =. So, to make T as small as possible, we want m to
be as small as possible and k to be as large as possible. Since m 2 is the
smaller mass and k 1 is the larger spring constant, this combination will give
the oscillator the shortest period.
- C For small angular displacements, the period of a simple pendulum is
essentially independent of amplitude.
- B First draw a free-body diagram.