Question

A 240 g mass attached to a horizontal spring oscillates at a
frequency of 5.20 Hz . At *t* =0s, the mass is at
*x*= 6.80 cm and has *v**x* =− 27.0 cm/s .
Determine:

The period.

Enter your answer numerically to five significant figures.

The angular frequency.

Enter your answer numerically to five significant figures.

The amplitude.

Enter your answer numerically to five significant figures.

The phase constant.

Enter your answer numerically to four significant figures.

Answer #1

A 245 g mass attached to a horizontal spring oscillates at a
frequency of 1.30 Hz . At t =0s the mass is at x= 4.20 cm and has
vx=−=− 42.0 cm/s Determine the phase constant and max speed

A 205 g mass attached to a horizontal spring oscillates at a
frequency of 1.00 Hz . At t =0s, the mass is at x= 4.20 cm and has
vx =− 23.0 cm/s . Determine: (a) the period s (b) the angular
frequency rad/s (c) the amplitude cm (d) the phase constant rad (e)
the maximum speed cm/s (f) the maximum acceleration cm/s2 (g) the
total energy J (h) the position at t = 4.2s

A 195 g mass attached to a horizontal spring oscillates at a
frequency of 2.50 Hz . At t =0s, the mass is at
x= 6.00 cm and has vx =? 40.0 cm/s .
Determine:? the phase constant, the maximum speed, the maximum
acceleration and the total energy

A 200 g mass attached to a horizontal spring oscillates at a
frequency of 2.0 Hz . At one instant t=0s, the mass is at x=5.0cm
and has V=−30cm/s. Determine the time that the mass passes through
the equilibrium position for the first time.

A 280-g object attached to a spring oscillates on a frictionless
horizontal table with a frequency of 4.00 Hz and an amplitude of
25.0 cm.
1) Calculate the maximum potential energy of the
system.(Express your answer to three significant
figures.)
2) Calculate the displacement of the object when the potential
energy is one-half of the maximum.(Express your answer to three
significant figures.)
3) Calculate the potential energy when the displacement is 10.0
cm.(Express your answer to three significant figures.)

A mass attached to a spring oscillates back and forth on a
horizontal frictionless surface. The velocity of the mass is
modeled by the function v = 2πfA cos(2πft) when at t = 0, x = 0.
What is the magnitude of the velocity in cm/s at the equilibrium
position for an amplitude of 4.5 cm and a frequency of 2.3 Hz?

A mass of 220 g oscillates on a horizontal frictionless surface
at a frequency of 2.7 Hz and with amplitude of 4.6 cm .
What is the effective spring constant for this motion?
How much energy is involved in this motion?

A 400 gram mass is attached to a horizontal spring with a
frequency of 2 Hz. The mass has a speed of 40 cm/s and is located
at x=5 cm..
A) find the period of motion
B) find the amplitude of motion
C) find the maximum speed of the mass
D) find the total energy of the mass

An air-track glider attached to a spring oscillates with a
period of 1.50 s . At t=0s the glider is 4.50 cmcm left of the
equilibrium position and moving to the right at 32.6 cm/s .
Part A.
What is the phase constant?
Express your answer to three significant figures and include the
appropriate units.

(a) A 350-g mass is oscillating on a horizontal spring with a
frequency of 20 Hz. What is the spring constant of the spring? (b)
How much total energy does the mass-and-spring combination have if
its amplitude is 2.0 cm? (c) If the mass were hung from a light
string, what length would the string have to be so that the
resulting pendulum would have a period ten times that of
the mass-and-spring combination in part (a)?

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