A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then stretched an additional 1 inch and released. Find the equation of motion, the amplitude, and the period. Neglect friction.

y(t)= ?

where t is time and y(t) is displacement in time.

Amplitude: ? inch(es)

Period: ? second(s).

Equation of movement y(t)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

The period depends on the mass and the spring constant.

The formula for the period is:

The model y(t) for the movement of the mass-spring system is

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step-by-step explanation: