Flat Earther. While spinning at a rate of 2.50 [rad/s], a sphere with radius 5.00 [cm flattens to form a disk with radius 8.00 [cm]. If there is no external torque acting on the disk, how fast is it rotating? (Isphere = mr2, Idisk = mr²) A. 0.20 [rad/s] B. 0.31 [rad/s] C. 0.78 [rad/s] D. 1.2 [rad/s] L is for Lodi. Consider a m = 3.00 [kg] point particle a distance r = 4.50 [m] from point O traveling at speed v=5.30 [m/s] as shown in the figure. What is the mag- nitude of the angular momentum of the point particle about point O? A. 23.9 [kg-m²/s] B. 35.8 [kg-m²/s] C. 64.0 [kg-m²/s] D. 71.6 [kg-m²/s] OF. 90°7 V 60°
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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![Flat Earther. While spinning at a rate of 2.50 [rad/s], a sphere with radius 5.00 [cm]
flattens to form a disk with radius 8.00 [cm]. If there is no external torque acting on the
disk, how fast is it rotating?
(Isphere = mr2, Idisk = mr²)
to {m², la
m
ANG
A. 0.20 [rad/s]
B. 0.31 [rad/s]
L is for Lodi. Consider a m = 3.00 [kg] point particle
a distance r = 4.50 [m] from point O traveling at speed
v = 5.30 [m/s] as shown in the figure. What is the mag-
nitude of the angular momentum of the point particle
about point O?
A. 23.9 [kg. m²/s]
B. 35.8 [kg-m²/s]
A. 1 × 10³ rad/s
B. 2 x 10³ rad/s
A.
B.
C. 64.0 [kg. m²/s]
D. 71.6 [kg-m²/s]
Nakakahilow! Inside a hollow cylindrical tube of mass
M and length L contains two point masses (with mass
M each) separated by a distance tied to a central post
by a thin string as shown. The system rotates about the
vertical axis through the center with angular speed wo and
the strings holding the masses suddenly break. What is
the angular speed of the system when the masses reach
the end of the cylinder? (Icm, hollow cylinder = ML²)
14wo
40
9w0
40
Ding Dong. What is the angular frequency of the sound produced by a bell with a period
of 2 ms?
(2)
C. 0.78 [rad/s]
D. 1.2 [rad/s]
C.
D.
3w0
8
12w0
10
C. 3 x 10³ rad/s
D. 4 x 10³ rad/s
TE
OF.
90°7
XL
V
60°
W, = ?
XL
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