Question

Simple Harmonic Motion: Mass on Spring

(Explanation of lab.)

**[** The intentions of this lab were to further
our understanding of spring mass motion by creating a harmonic
motion system to find values for spring force and oscillation
periods. By the end of the experiment, our group was able to
experimentally determine how the measure of spring constant,
*k*, in a harmonic motion system depends upon oscillation
periods and ??y. We began our finding of *k* by running the
experiment to find a constant amplitude, measuring a constant mass
and *k.* Following this, we applied our constant amplitude
to find measurements of period for different masses, increasing in
increments of 5g. Experimentally finding the ??y of the mass on the
string with each trial of increasing mass, allowed us to determine
spring’s strength constant, *k*. The results of the
experiment showed an increase in applied force, or mass weight,
with respect to ??y and an increase in oscillation period with
respect to mass, which we supported graphically. In this lab, we
hung a spring with the narrower tapered end at the top of the
system. We attached this system to a meter stick to be able to
analyze the specific stretch of the mass initially and with time.
With a mass hanger attached to the less tightly wounded side of the
spring, we were able to manipulate mass, recording the time of
oscillations and distance for each trial, to later analyze their
correlation. **]**

A.) If you had the opportunity to use stronger and weaker springs than the one you used, make an argument that predicts whether the period will increase or decrease if a stronger spring was used.

B.) How would the sproing-mass clocks, of the type studied, work on the moon? Would they keep the same time on Earth? Why or why not?

Answer #1

A)

the period of oscillation is

m= mass

k = spring constant

strength of the spring directly proportional to spring constant. i.e for stranger spring spring constant is more. and as time period is inversly proportional o squareroot of spring constant so the time period increases.

and for week spring the time period is more as spring constant is less.

2)

THE weight on moon is less than the weight on earth. as mass is directly proportional to the period of oscillation when weight decreases the period of oscillation decreases.

A mass of 187 g is attached to a spring and set into simple
harmonic motion with a period of 0.286 s. If the total energy of
the oscillating system is 6.94 J, determine the following.
(a) maximum speed of the object
m/s
(b) force constant
N/m
(c) amplitude of the motion
m

A) A mass on a spring vibrates in simple harmonic motion at a
frequency of 4.0 Hz and an amplitude of 8.0 cm. If a timer is
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...

Which of the following statements concerning a mass on a spring
undergoing simple harmonic motion is false.
a) If the mass is doubled and the spring constant is doubled the
period of motion stays the same.
b) If the amplitude is doubled the period of motion is
doubled.
c) If the mass is quadrupled then the period of motion is
doubled.
d) If the amplitude is doubled the period of motion stays the
same.
e) If the spring constant is...

A metal ball attached to a spring moves in simple harmonic
motion. The amplitude of the ball's motion is 11.0 cm, and the
spring constant is 5.50 N/m. When the ball is halfway between its
equilibrium position and its maximum displacement from equilibrium,
its speed is 27.2 cm/s.
(a) What is the mass of the ball (in kg)?
(b) What is the period of oscillation (in s)?
(c) What is the maximum acceleration of the ball? (Enter the
magnitude in...

A 301 g weight attached to a horizontal spring moves in simple
harmonic motion with a period of 0.260 s. The total mechanical
energy of the spring-mass system is 5.46 J.
(a)
What is the maximum speed of the weight (in m/s)?
m/s
(b)
What is the spring constant (in N/m)?
N/m
(c)
What is the amplitude of the motion (in m)?
m

A plastic ball attached to a spring moves in simple harmonic
motion. The amplitude of the ball's motion is 11.5 cm, and the
spring constant is 6.00 N/m. When the ball is halfway between its
equilibrium position and its maximum displacement from equilibrium,
its speed is 22.7 cm/s.
What is the mass of the ball (in kg)?
Answer- kg
What is the period of oscillation (in s)?
Answer- s
What is the maximum acceleration of the ball? (Enter the...

A 280 g object attached to a horizontal spring moves in simple
harmonic motion with a period of 0.330 s. The total mechanical
energy of the spring–object system is 2.00 J.
(a) What is the spring constant (in N/m)? N/m
(b) What is the amplitude (in m) of the motion? m
(c) What If? What is the percentage change in amplitude of
motion if the total energy of the system is increased to 6.00
J?

A block of mass 21.50 g on the end of spring undergoes
simple harmonic motion with a frequency of 6.00 Hz.
1. What is the spring constant of the spring?
2. If the motion of the mass has an initial amplitude of 7.00
cm what is its maximum speed?.
3. The amplitude decreases to 1.417 cm in 0.83
s, what is the damping constant for the system?

One example of simple harmonic motion is a block attached to a
spring, pulled to one side, then released, so it slides back and
forth over and over. In real experiments, friction and drag can't
be eliminated, so both will do a small amount of negative work on
the sliding mass, each cycle, slowly reducing its ME, until the
block stops moving altogether.
a) As the system's ME decreases, the block's maximum speed gets
smaller, but the oscillation period T...

An object with mass 2.8 kg is executing simple harmonic motion,
attached to a spring with spring constant 320 N/m . When the object
is 0.021 m from its equilibrium position, it is moving with a speed
of 0.65 m/s . Calculate the amplitude of the motion. Calculate the
maximum speed attained by the object.

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