02:08
Habib
The importance of Definite integrals is that they help find the area between the two limits of any graph. For example, let's take a look at this velocity-time graph:
Friday, 10 February 2012
Wednesday, 8 February 2012
Physics: Rigid Body Dynamics #2: Angular momentum and its conservation
Angular expressions, as mentioned before, can be derived from linear expressions by replacing some values:
Tuesday, 7 February 2012
Physics: Rigid Body Dynamics #2: Conservation of energy
Law of conservation of energy: {Energy cannot be created nor destroyed. It can only change from one form to another}. As this law states, a system's Total energy will never change. However, it might gain a certain type of energy, and lose another simultaneously. Example:
This object has potential energy, which means the stored energy in it. It has potential energy because if the surface below it was removed, it will fall down, and thus gain kinetic energy. However, it will rotate around its own axis as well, thus gaining both linear and rotational kinetic energy:
Monday, 6 February 2012
Math: Primitive Functions
Primitive Functions are important in calculus, because they are the main concept behind integration (Reverse Differentiation). To differentiate an expression, the power of x is reduced by one and multiplied by its coefficient. Example:
Sunday, 5 February 2012
Physics: Rigid Body Dynamics #1: Rotational Kinetic Energy
In linear motion, there is an expression know as kinetic energy (KE). This isn't actually kinetic energy in genral, but it was linear kinetic energy. In circular motion, there is an expression known as Rotational
Kinetic energy kinetic energy. The concept behind Rotational kinetic energy is similar to linear kinetic energy. However, both are not interchangable.
Friday, 3 February 2012
Physics: Rigid Body Dynamics #1: Centripetal acceleration and moment of inertia
In Rigid Body Statics, the sum of all torques and forces was zero. This meant that both linear acceleration and centripetal acceleration are equal to zero, and thus we were not concerned with them:
In Rigid Body Dynamics, however, there is a Torque. Thus, an expression relating torque with centripetal acceleration must be derived:
This is the main idea behind Rigid Body Dynamics.
In Rigid Body Dynamics, however, there is a Torque. Thus, an expression relating torque with centripetal acceleration must be derived:
This is the main idea behind Rigid Body Dynamics.
