Question

What systems does the author describe as examples of simple harmonic motion? Select all that apply

mass on a spring |

pendulum |

rotating circular disk |

Answer #1

mass on a spring, rotating circular motion and pendulum
corresponds to SImple Harmonic Motion.

Simple pendulums behave much like harmonic oscillators like springs. The period of a pendulum is determined by its length and not its mass. In the case of a pendulum, the restoring force is provided not by a spring but by gravity,

F= -kx

If we consider a point on the rim of a disk as it rotates anticlockwise at a constant rate around a horizontal axis, it produces a sinusoidal graph. Plot the position of a mass on a spring bouncing up and down in simple harmonic motion as a function of time which is a sinusoidal graph too.

Select examples of simple harmonic motion that can be observed
in everyday life. Select all that apply:
a child gently swinging on a playground swing at small
angles
lightly bouncing on a trampoline when your feet do not leave the
canvas
a yo-yo moving up and down in a steady pattern
a pendulum in a grandfather clock
the Moon rotating around the Earth
dribbling a basketball at a steady rate

A torsional pendulum executes simple harmonic motion by rotating
about its axis. It consists of a coil spring attached to a balance
wheel (a disk in this case). Recall that a torsional pendulum is
similar to a normal pendulum with force replaced by torque, linear
displacement replaced by angle turned, and mass replaced by moment
of inertia. The spring constant is replaced by torsion constant.
Assume the balance wheel of such a torsional pendulum is doubled in
size but the...

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...

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...

What motion inside the mechanical clock represents simple
harmonic motion? Can you describe this in a little more detail?

Let’s think back to the lab for simple harmonic motion. Consider
the setup for the simple pendulum. The length of the pendulum is
0.60 m and the bob has inertia 0.50 kg (assume mass of the string
is negligible, and small angular displacements). You conduct two
experiments (A and B) to investigate the physics of simple harmonic
motion. For experiment A, you pull the pendulum 5 ◦ , or π 36
radians. In experiment B, the angular displacement is 10◦...

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?

Astronomy:
1. Determine the position in the oscillation where an
object in simple harmonic motion:
a. has the greatest speed.
b. has the greatest acceleration.
c. experiences the greatest restoring
force.
d. experiences zero restoring force.
2. Describe simple harmonic motion, including its cause
and appearance.
3. Describe how the change in a. amplitude (angle), b.
length, and c. mass affect the period of the
pendulum.\
4. Do measurements including uncertainty fall within the
accepted value? Which method is more...

What are the mathematical relationships of variables found in
both Uniform Circular Motion and Simple Harmonic Motion?

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

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