Simple Harmonic Motion (Spring)

Goal: In this lab we guide examples of artless openhearted motion. We will focus on two systems:
(i) a blockade and reflect system, and (ii) a simple pendulum oscillating in gravitative field.
Theory: In simple harmonic motion, the take is comparative to the displacement from the
residuum position. The direction of the force is always towards the equilibrium position. The
position of a simple harmonic oscillator varies periodically in time according to the expression
where A is the amplitude of the motion, w is the angulate frequency, and f is the phase constant.
The value of f depends on the sign position and velocity of the oscillator. The time T for one
complete tingle is called the period of the motion:
Example 1: Block - mould system
If a block of crapper m is attached to a leap and set to oscillate, then it describes simple
harmonic motion because the restoring force is proportional to the displacement and is given by:
where, k is the spring constant.
The following are some properties of a block and spring system oscillating in gravitational
field that we will study:
1.



The period of a block and spring system is self-reliant of the amplitude of oscillation.
2. The period of a block and spring depends on the spring constant and the mass of the
block.
Example 2: unbiased pendulum
The oscillations of a simple pendulum (point mass m suspended by a light string of length l)
are governed by the following equation:
For small angles of oscillations sinq = x/l, is governed by:
Therefore, the simple pendulum has the following properties.
1. The period of a pendulum is independent of its own mass and the amplitude of oscillation.If you want to get a full essay, set it on our website: Orderessay



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