A 92 g particle undergoes SHM with an amplitude of 1.7 mm, a maximum acceleration of magnitude 7.0 x 103 m/s2, and an unknown phase constant φ. What are

(a) the period of the motion,
(b) the maximum speed of the particle, and
(c) the total mechanical energy of the oscillator?

What is the magnitude of the force on the particle when the particle is at (d) its maximum displacement and (e) half its maximum displacement?

a) , b) , c) , d) , e)

Explanation:

a) The angular frequency is:

The period of the motion is:

b) The maximum speed of the particle is:

c) The spring constant is:

The total mechanical energy of the oscillator is:

d) The magnitude of the force on the particle at its maximum displacement is:

e) The magnitude of the force on the particle at half of its maximum displacement is:

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.