Oscillation and Simple Harmonic Motion - Things You Should Remember !

Previously here in this blog you have talked about Simple Harmonic Motion and It's Characteristics and Periodic motion and oscillation basics. Here I'll talk about some important things that you should remember ! So, let's get started...

Things to remember about Oscillations

• To-and fro movements of a system is called oscillations.
• All oscillation eventually die away as energy dissipates to the surroundings.
• At the equilibrium position, the resultant force on a particle is zero.
• Displacements vary from positive to negative to positive during the course of one oscillation.
• Amplitude is the maximum displacement from the equilibrium position.

Things to remember about Simple Harmonic Motion

• Simple harmonic motion (SHM) is an oscillation where the period remains constant even when the amplitude changes. 
• A pendulum and a mass-spring system both oscillate with SHM.
• Plotting displacement against time from such an oscillator produces a sinusoidal graph.
• At the equilibrium position (zero displacement) velocity is maximum (either positive or negative) and acceleration is zero (since resultant force is zero).
• Positive and negative velocities show the body moving in opposite directions.
• At either position of maximum (either positive or negative) at the extreme ends and is always directed towards the equilibrium position.
• Acceleration increases with distance from it. It is proportional to displacement but in the opposite direction. 

The is acceleration and displacement always have opposite sings....

Simple Harmonic Motion and Characteristics Of Simple Harmonic Motion

The type of oscillation in which the body oscillates on a straight line, the acceleration of the body is always directed towards the mean position on the line and the magnitude is proportional to the displacement of the body from the point is called the simple harmonic oscillation or simple harmonic motion.

Taking the mean position as origin and the line of a motion as the X-axis, we can define the equation of a simple harmonic motion as

a=-cx

Where c is a positive constant. If x is positive, a is negative and if x is negative a is positive.

Simple Harmonic Motion

Periodic Motion and Oscillation Basics That You Need To Know About !

When a body repeats its motion after regular time intervals, the motion is called harmonic motion or periodic motion.

Motion of a simple pendulum, vibration of a tuning fork, motion of a spring motion of planet etc. are examples of harmonic motion. Simple harmonic motion is a special type of periodic motion, here we will discuss periodic motion and oscillation.

What is the Distinction Between Velocity and Acceleration ?

Here in this post we'll talk about the distinction between velocity and acceleration. Just like speed and velocity, acceleration and velocity has got some difference too. Though they seems to be the same thing. After reading this post you'll have a clear idea of this two... :)

Velocity 

1. If the time interval approaches zero, the rate of change of displacement with time is called velocity.
2. Unit of velocity is metre/sec (ms^-1)
3. Dimension of velocity = (LT^-1)
4. If force is not applied on a moving body, it travels at uniform velocity along a straight time.

What is the Distinction Between Velocity and Speed?

If we think normally then we will not find any difference or distinction between velocity and speed. Both of these two seems to be the same thing to us. But the truth is that is two are not the same. Speed and velocity refers to two different things. So, lets see what is the distinction between velocity and speed...

Speed

• The rate of change of distance or position of a particle is called speed.
• It is a scalar quantity.
• It is measured by speedometer.
• Speed is always positive, it can never be a negative one.
• The addition, subtraction of it is done by algebraic rules

Know The Distinction Between Scalar And Vector Product !

Previously we've talked about Difference between a scalar and vector quantity. Now here in this post I'll talk about distinction between scalar product and vector product. If you read this short post then hopefully you'll understand this.

So here goes the distinction between scalar product and vector product...

Scalar Product

1. The result of the scalar product of two vectors is a scalar quantity.
2. The magnitude of the scalar product is equal to the product of their magnitudes and cosine of the angle between them.
3. The scalar product obeys the commutative law of multiplication.
4. Scalar product of two mutually perpendicular vectors is zero. 

Vector Product

1. The result of a vector product is a vector quantity.
2. The magnitude of the vector product is equal to the product of their magnitudes and sine of the angle between them.
3. The vector product does not obey the commutative rules of multiplication.
4. Vector product of two parallel vectors is Zero.

So, hopefully the topic is clear to you now. If you have any question regarding this then feel free to comment below. 

What Is The Difference Between A Scalar And Vector Quantity?

I believe that you've learnt what is is a vector quantity and what is a scalar quantity before. Most probably you have came to this post via searching for the difference between a scalar and vector quantity. Here in this post I will let you know about this. So read on....

Scalar Quantity 

1. A scalar quantity is a kind of quantity which can be easily defined by a single magnitude. Scalar quantity has no direction. For example : Mass, Time, Work etc.
2. A scalar is changed only when its magnitude is changed.
3. Addition, Subtraction, Multiplication is carried out by simple algebraic rules.
4. The product of two scalers is Zero only when the value of one of them, or both is zero.
5. The product of two scalars must be a scalar.