Question

1) How does the amplitude of vibration affect the time period of vibration for a spring-mass system?

a)The period decreases linearly as amplitude increases

b)Time period increases as the square root of the amplitude

c)No effect

d)Time period increases linearly with the amplitude

2)What will be the value of the spring constant, if a mass of 1.1 kg attached to a spring stretches it by 16 cm. Ignore the mass of the spring and its original length.

3)What will be the value of the spring constant, if a mass of 1.1 kg attached to a spring stretches it by 20 cm. The original length of the spring= 2.8 m. Ignore the mass of the spring.

4) If a spring-mass system has a period of vibration = T s on Earth, what will it be on the Moon?

a)T

b)Square Root of T

c)T times square root of 9.8

d)Square of T

Answer #1

A mass attached to a spring oscillates with a period of 1.12·s
and an amplitude of 40·cm. At time t = 0 the mass is at x = +28·cm
and is moving in the positive direction (away from equilibrium).
What is the phase constant? (degrees) Where is it at time t =
4.5·s? (cm)

a) If you take a simple pendulum to moon and Venus, how its time
period will be affected if its length is 80 cm?
b) If you decrease the length of the pendulum to half of the
original and increase mass to double of original, what will happen
to its period on Earth?
c) If an oscillating spring system is taken to the moon, what
will happen to its periods?
d) If the length of the spring is doubled, what...

A) A mass on a spring vibrates in simple harmonic motion at a
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started when its displacement from equilibrium is a maximum (hence
x = 8 cm when t = 0), what is the displacement of the mass when t =
3.7 s?
B) A mass of 4.0 kg, resting on a horizontal, frictionless
surface, is attached on the right to a horizontal spring with
spring...

1. Calculate the spring constant ,k, for a spring, if the
spring stretches by 0.2 m as a result of an applied force of
200N.
2. A 20 kg mass is attached to a spring with spring constant,
K=100 N/m. The spring/mass system is stretched by 5cm, and then
released from rest and allowed to oscillate back and forth A.) What
is the amplitude of vibration in this system? B.) Calculate the
acceleration of the mass at X=0.
3. In...

A spring-mass system consists of a 0.5 kg mass attached to a
spring with a force constant of k = 8 N/m. You may neglect the mass
of the spring. The system undergoes simple harmonic motion with an
amplitude of 5 cm. Calculate the following: 1. The period T of the
motion 2. The maximum speed Vmax 3. The speed of the object when it
is at x = 3.5 cm from the equilibrium position. 4. The total energy
E...

Physics II HW 1
SHM
A 100 g object connected to a spring (k= 40 N/m) oscillates on
a horizontal frictionless surface with an amplitude of 4.00 cm.
Find the period and the total energy of the system.
What is the period of a pendulum with a length of 2 meters on
Earth? On the Moon?
A 5 kg mass is attached to a spring that is hanging vertically.
The spring is stretched 0.25 m from its equilibrium position. What...

A 2.15 kg mass attached to a spring oscillates with a period of
0.450 s and an amplitude of 25.0 cm.
(a) Find the total mechanical energy of the system
(b) Find the maximum speed of the mass.

A spring is hung from the ceiling, and has a rest length of 43.0
cm. A block (mass = 0.374 kg) is attached to the spring. When we
slowly let the mass down (being careful to not let it start
oscillating), the spring stretches to a length of 58.4 cm. We then
pull the mass down 3.0 cm below this position and let it go to
begin oscillating. Assume the mass of the spring is negligible.
a) What is the...

A 12 cm long spring is attached to the ceiling. When a 2.4 kg
mass is hung from it, the spring stretches to a length of 17
cm.
(a) What is the spring constant k?
N/m
(b) How long is the spring when a 3.2 kg mass is suspended from
it?
cm

Please show step by step explanation including all units.
Part 1 Mass and Spring System
You have a spring with an unknown spring constant. You attach a
10 gram mass and note that the spring stretches 1 cm. Then you
remove that mass and attach a 20 gram mass and note that the spring
stretches 2 cm. a) Find the slope of the line on F vs. x plot. That
will be your spring constant. b) Then you pull the...

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