Question

Think of a spring-mass system. Large oscillations of this system _________________________ simple harmonic; small oscillations of this system ____________________ simple harmonic.

are; are not

are not; are

are not; are not

are; are

Answer 1

Ans:

Since, The frequency of simple harmonic oscillation depends on the spring constant (k) of spring and mass (m) of the object, is given by

  $\omega = \sqrt{\frac{k}{m}}$

Hence, For higher oscillations ($\omega$), k should be large and for smaller oscillations ($\omega$), k should be small or mass (m) can be large.

Hence, large oscillations of spring-mass system are simple harmonic and small oscillations of spring-mass system are simle harmonic.