My trip to Sabah just ended. 4 wonderful days breezed by so quickly. Now back to the everyday routine of waking up, eat, pray, play & sleep. Haiz. I feel so fat and unhealthy just slacking at home all day. I rarely do any physical work. hmmm maybe should start soon; tomorrow. I bought lots of clothing from Sabah. Hopefully that will gimme a new look and a better wardrobe^^. The food there was good and a wider variety of food were available to Muslims like myself. I spammed quite a lot. To the extent of getting diarrhoea on one day. hah.
I realised that nowadays, for some weird reason, I keep pondering about many random things that come across my mind that have to do with physics and the equations that describe the phenomena. Sometimes its things like how to derive the area of a circle xD I guess I just want to know how things work, in detail. I'm looking forward to going out with my friends and relatives. I'm sick and bored at home. Chionging maple everyday is meaningless and unhealthy mentally and physically.
I have recently done some research on the Polar coordinate system which I have discovered by accident while surfing Wiki. Its just another mathematical graphing system like the Cartesian coordinate system that we studied for the Os. The difference between the two is that a point in a polar coordinate system is defined by the distance from the origin and the angle of inclination from the x-axis of the line that connects the point and the origin while the point in the cartesian system is defined by the distance from the x axis and y axis. You may say, "what the heck is wrong with you? Mugging maths after O levels?", yea I know its weird but i can see the beauty and significance of the graphs that are sketched out from the system. Recently I have derived a very beautiful equation(in my point of view) from the equations of motion I read in Newtonian mechanics in my H2 phy txtbk. The equation looks like this:
,This equation from wiki is exactly the same as the one i derived^^ I'm so glad.
This equation describes the trajectory of a particle or a ball when thrown at an initial speed v, inclined to the horizontal at an angle 'theta' and affected by earth's gravity with gravitational field strength 'g' . Just seeing this equation isn't satisfying enough for me. Usually I would use graphmatica to plot out the graph for me and voila!, it shows the trajectory of an object affected by the constants that I have set randomly. Imagine, everyday phenomena summed up by an elegant mathematical equation. Cool xD. There is one polar coordinate graph that astounded me the most. The polar equation looks like this:
where r is the distance of the point from the centre, u can call it radius
thetha is the angle of inclination
The graph that appears when you plot it is what they call a logarithmic spiral
See the beauty of that simple equation now?
Well sometimes I wonder, did God create the universe with his own set of divine equations? Based on what I know about Physics and Mathematics, I really think so.
