Simple-harmonic-motion-ash.pptx

1. SIMPLE HARMONIC MOTION
GROUP 6 PRESENTATION​

2. 2
SIMPLE HARMONIC MOTION, IN PHYSICS, REPETITIVE
MOVEMENT BACK AND FORTH THROUGH AN
EQUILIBRIUM, OR CENTRAL, POSITION, SO THAT THE
MAXIMUM DISPLACEMENT ON ONE SIDE OF THIS
POSITION IS EQUAL TO THE MAXIMUM DISPLACEMENT
ON THE OTHER SIDE. THE TIME INTERVAL OF EACH
COMPLETE VIBRATION IS THE SAME. THE FORCE
RESPONSIBLE FOR THE MOTION IS ALWAYS DIRECTED
TOWARD THE EQUILIBRIUM POSITION AND IS
DIRECTLY PROPORTIONAL TO THE DISTANCE FROM IT .
SHM

4. 4
HOOKE’S LAW
F = − K X
WHERE X IS THE AMOUNT OF DEFORMATION (THE CHANGE IN LENGTH, FOR
EXAMPLE) PRODUCED BY THE RESTORING FORCE F, AND K IS A CONSTANT
THAT DEPENDS ON THE SHAPE AND COMPOSITION OF THE OBJECT.
Restoring Force – the force which
causes simple harmonic motion to occur. This
force is proportional to the displacement from
equilibrium & always directed towards
equilibrium.

6. 6
SAMPLE PROBLEM
If a cart is loaded of 67N
stretches a vertical spring 2cm
from its rest position, what it
the spring constant ?

7. 7
MASS SPRING SYSTEM PERIOD
A spring-mass system in simple terms can be
described as a spring sytem where a block is hung or
attached at the free end of the spring. The spring-
mass system can usually be used to find the period
of any object performing the simple harmonic
motion
The period of a spring-mass system is proportional
to the square root of the mass and inversely
proportional to the square root of the spring
constant.
;

8. SAMPLE PROBLEM
What is the period of a spring
that oscillates with a
constant spring of 300.2 N/m
and has a mass of 0.50 kg?

9. 9
SHM- SIMPLE PENDULUM
A pendulum is a weight suspended from a pivot so that it can
swing freely. When a pendulum is displaced sideways from its
resting, equilibrium position, it is subject to a restoring force due
to gravity that will accelerate it back toward the equilibrium
position.
The higher you lift it in one direction, the more power to swing
up on the other side will you give it. You will perhaps notice the
power in it's weight and resistance, more when you let it go.
;

10. SAMPLE PROBLEM
Develop winning strategies to keep ahead of
the competition
Capitalize on low hanging fruit to identify a
ballpark value
Visualize customer directed convergence
WHAT PERIOD WOULD YOU
EXPECT FROM PENDULUM
OF LENGTH 0.5 M ON THE
MOON WHERE G= ?

11. THANK YOU