A a1 Kg object osillates as alony the x-axis with a position x,, the object hat a kinetic energy nd a potential energy o.3 5. The amplitude of süllation, A is a simple harmanic motion Rrequency f=3.185 Hz. At a a-o.12 m b.o.22 m. C-O.31 m- d.o.42 m
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.
![LA 0.1 Kg object oscillates as a simple harmonic motion
along the X-axis with a
position x,,the object has
and a
osüllation,A is
a-o.12 m
b-0.22 m
C-0.31 m
d-o.42 m
frequency f=3.185 Hz. At o
a kinetic energy
of 0.7J
potential energy 0.3 J.The amplitude of
with
2A block of mass m
/force constant K, and oscillate at
If the mass is changed to m'= m/2 and the
Spring
Prequency f'of the osallation would bc
a- f'=2f
is attached to a
spring
Riequency f,
force is
changed to k'=2k, then the new
an=まP
13-A block.spling system oscillates in a simple
a friclionless harizonta I
harmonic motion on
table.Its displacement varies with time according
to k(E) c0.2c0s(2+-TJu) The earliest time the
palticle reachees position x=0.im/s.
24
d.t=
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