Question

In the simple harmonic experiment, different masses were added to a spring. A graph of Force (weight) versus elongation was plotted. The graph was given by y = 9.4x +3.9. What is the spring constant of the spring in N/m ?

In the simple harmonic experiment, different masses were added to a spring. For each mass, the preriod of oscillation was measured. A graph of Period squared versus mass was ploted. The linear graph was given by y = 3.36x +4.26. What is the spring constant of the spring in N/m ?

In the simple pendulum experiment , the period of oscillation was measured for different lengths. A graph of Log T versus Log L was ploted. The linear graph was given by y = 0.47x +0.312. What is the acceleration due to gravity in m/s^2 ?

In the simple pendulum , the period of oscillation was measured for different lengths. A graph of Log T versus Log L was ploted. The linear graph was given by y = 0.546x +0.280. What is percentage error for the slope ?

Answer #1

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...

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...

For a linear spring
the force is proportional to the stretch. F =kx k is the elastic
constant of the spring in N/m
Masses are placed on a
spring and the stretch is measured (no bouncing). Then the spring
was allowed to bounce and the period was measured.
mass Stretch(cm)
Period (s)
0.15 kg 9 0.6
0.25 15 0.76
0.35 20.5 0.9
0.45 26.5 1.0
Calculate k for the
spring. Be careful mass must be converted to weight in Newtons...

A student is studying the simple harmonic motion of a
spring. She conducts an experiment where she measures the amplitude
and period of an undamped system to be 26 ± 2 mm and 0.40 ± 0.020
seconds, respectively. Using the equation for displacement as a
function of time y(t) = Acos(ωt), what is the uncertainty of her
displacement calculation in mm for t = 0.050 ± 0.0010
seconds?

A student is studying simple harmonic motion of a spring. She
conducts an experiment where she measures the amplitude and period
of an undamped system to be 24 ± 2 mm and 0.40 ± 0.020 seconds,
respectively. Using the equation for displacement as a function of
time y(t) = Acos(ωt), what is the uncertainty of her displacement
calculation in mm for t = 0.050 ± 0.0010 seconds?

1) Calculate the range for an object that is launched at an
angle of 27.00 degrees above the horizontal and an initial height
of 1.50m. the initial speed is 190.00 m/s.
2)an astronaut brings a simple pendulum to another planet and
performs an experiment. the astronaut measures the period of the
pendulum for several different lengths and then plots the data as a
log[Period] vs. log[Length] graph. the equation of the line is
y=0.503x + 0.0500. determine the acceleration due...

A block attached to the end of a spring moves in simple harmonic
motion according to the position function where the
period of the motion is 4.0 s and the amplitude of the motion is 15
cm.
g) Determine the first time at which the position of the block
is -1.2 cm. ______ s
h) Determine the first time at which the velocity of the block
is -8.5 cm/s. ______ s
i) Determine the first time at which the acceleration of...

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...

A. Suppose you were given a spring with spring constant 4.9 N/m.
If you wanted to set up a situation with an object undergoing
simple harmonic motion (assuming it moves along a smooth horizontal
surface) with a period of 0.63 s, what should be the mass of the
object you choose to attach to the end of the spring? Give your
answer in g.
B. The intensity of a particular earthquake wave is measured to
be 2.2MW/m2 at a distance...

In studies of harmonic systems and of circular motion, radians
are always used instead of degrees in derivations. This is
________________.
an arbitrary choice or preference.
necessary and related to the arc length equation.
because there is not a one-to-one mapping of theta to sin(theta)
when using degrees.
because we like Greece more than Babylon.
4 points
QUESTION 12
Which of the following is not unique to simple harmonic systems
and could apply to any harmonic system?
Motion is...

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