High School
SAT
SAT Elite 1500
SAT Tutoring
ACT
ACT Elite 33
ACT Tutoring
University
MCAT
MCAT Elite 515
Med-School Admissions
Pre-Med Tutoring
Pre-Med Plus
LSAT
LSAT Elite 170
LSAT Self-Paced
LSAT Tutoring
DAT
DAT Elite
DAT Tutoring
Log in
Get Started for Free
The displacement function of a simple harmonic motion over time is shown below.…
Related Topics
Wize University Physics Textbook (Master) > Periodic Motion: Oscillations
Basic Concepts of Oscillation
4 Activities
The displacement function of a simple harmonic motion over time is shown below. Write the equation of the motion.
x
(
t
)
=
0.5
cos
(
1.6
t
−
2.55
)
x\left(t\right)=0.5\cos(1.6 t-2.55)
x
(
t
)
=
0.5
cos
(
1.6
t
−
2.55
)
x
(
t
)
=
0.8
cos
(
1.6
t
−
2.55
)
x\left(t\right)=0.8\cos(1.6 t-2.55)
x
(
t
)
=
0.8
cos
(
1.6
t
−
2.55
)
x
(
t
)
=
0.5
cos
(
1.6
t
+
2.55
)
x\left(t\right)=0.5\cos(1.6 t+2.55)
x
(
t
)
=
0.5
cos
(
1.6
t
+
2.55
)
x
(
t
)
=
0.8
cos
(
1.6
t
+
2.55
)
x\left(t\right)=0.8\cos(1.6 t+2.55)
x
(
t
)
=
0.8
cos
(
1.6
t
+
2.55
)
I don't know
Check Submission
More Basic Concepts of Oscillation Questions:
Practice: Spring and mass system
A block of unknown mass
m
m
m
is attached to a horizontal spring which has a spring constant
k
=
4.8
N
m
k=4.8\ \frac{N}{m}
k
=
4.8
m
N
. It is then set oscillating on a frictionless surface with an amplitude
A
=
12
c
m
A=12\ cm
A
=
12
c
m
. The position and velocity of the block at
t
=
0
t=0
t
=
0
are measured to be
+
6.0
c
m
+6.0\ cm
+
6.0
c
m
and
+
30
c
m
s
+30\ \frac{cm}{s}
+
30
s
c
m
, respectively.
The motion can be modeled as an equation in the form
x
(
t
)
=
A
cos
(
ω
t
+
φ
)
x\left(t\right)=A\cos\left(\omega t+\varphi\right)
x
(
t
)
=
A
cos
(
ω
t
+
φ
)
.
Simple harmonic motion: Pendulum
In two separate experiments a pendulum and a mass-spring are moved from the Earth to the moon surface where gravitational acceleration is
1
6
\frac{1}{6}
6
1
of the Earth.
a) How does the amplitude of oscillations change for each system?
b) How does the frequency of oscillations change for each system?
Simple Harmonic Motion: Pendulum
You have landed on an unknown planet. You have a simple pendulum with a length of
25.0
c
m
25.0\ cm
25.0
c
m
. You measure the frequency of oscillation of the pendulum to be
0.5
H
z
0.5\ Hz
0.5
H
z
.
a) What is the gravitational acceleration on this planet? (in m/s^2)
b) What would be the period of the oscillation if you used this pendulum on Earth? (in seconds)
A mass is on a spring. The spring is stretched and then released so that the mass bounces back and forth. There are no other forces in the system. At what point is the block moving the fastest?
