3. +-/9 points

My Notes

In each of the questions below, hanging a mass m from a spring stretches the spring L meters from its unloaded length. Calculate the spring constant k, write the differential equation that governs the motion of the undamped mass-spring system, and find the solution that satisfies the initial

conditions specified. Units are mks; gravitational constant is 9.8 m/s2.

m = 0.5 kg and L = 2.4500meters

Initial displacement is 0.9 and initial velocity is 1

k =

kg/s

xquot; +

X =0

x(t)

m = 0.3 kg and

L = 1.0889 meters

Initial displacement is 0.6 and initial velocity is 0.1

k =

kg/s-

xquot; +

X = 0

x(t) =

m = 0.4 kg

and

L = 0.3920 meters

Initial displacement is 0.4 and initial velocity is 0.6

K =

kg/s2

xquot; +

X = 0

x(t) =

+-/6 points

My Notes

A 6 kg mass is attached to a spring with spring constant 1 Nt/m.

What is the frequency of the simple harmonic motion?

radians/second

What is the period?

seconds

Suppose the mass is displaced 0.8 meters from its equilibrium position and released from rest. What is the amplitude of the motion?

meters

Suppose the mass is released from the equilibrium position with an initial velocity of 0.6 meters/sec. What is the amplitude of the motion?

meters

Suppose the mass is is displaced 0.8 meters from the equilibrium position and released with an initial velocity of 0.6 meters/sec.

of the m

meters

What is the maximum velocity?

m/sScience