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Chima Sunday (Tutor)
02-03-2016 13:12:00 +0000
Today we are going to take a new dimension. Basically, we will be discussing on Motion, but our priority will be on solving motion related problems often tested in JAMB and other exams. So sit tight and have a nice tutoring hour. Don't forget to come along with your questions, and were you need more explanations, and i promise to do the best within my power to make the time worth.
Welcome and enjoy your time.
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If you had to think consciously in order to move your body, you
would be severely disabled. Even walking, which we consider to
be no great feat, requires an intricate series of motions that your
cerebrum would be utterly incapable of coordinating. The task of
putting one foot in front of the other is controlled by the more prim-
itive parts of your brain, the ones that have not changed much since
the mammals and reptiles went their separate evolutionary ways.
The thinking part of your brain limits itself to general directives
such as “walk faster,” or “don’t step on her toes,” rather than mi-
cromanaging every contraction and relaxation of the hundred or so
muscles of your hips, legs, and feet.
Physics is all about the conscious understanding of motion, but
we’re obviously not immediately prepared to understand the most
complicated types of motion. Instead, we’ll use the divide-and-
conquer technique. We’ll first classify the various types of motion,
and then begin our campaign with an attack on the simplest cases.
To make it clear what we are and are not ready to consider, we need
to examine and define carefully what types of motion can exist.
Motion involves a change of position of a body with time. The study of motion without involving the cause of it is call Kinematics
Types of Motion
a) Random Motion: Here body moves in a haphazard or disorderly manner. Example is the Brownian motion, motion of smoke particles etc.
b) Translational Motion: here body moves from one point to another without rotating. E.g is the motion of a boy running from one goal post to another, a ball rolling vertically upward. etc
c) Rotational Motion: It involves motion of a circle about a center or axis. E.g rotation of the fan blade, motion of the wheel of a moving car. etc
d) Vibratory Motion: In this kind of motion the path of a moving body is repeated at a succesive equal intervals of time. E.g is the motion of devil as described in the christain bible, motion of a simple pendulum. etc.
Parameters of Motion
i) Displacement is defined as the distance travelled in a specified direction
ii)Speed v is the rate of change of distance with time. v= s/t. Speed is said to be uniform if s/t is constant through out the journey.
Velocity is speed calculated in a given direction[recall that distance is for speed and rate of change of displacement is for velocity]
iii)Acceleration a is the rate of change of velocity increase with time While De acceleration is the rate of change of velocity decrease with time. a = v/t.
A motion is said to be a uniform acceleration if v/t is constant through out the journey e.g is the acceleration due to gravity.
Equations of Motion
If a body starts with initial velocity u, accelerates uniformly along a straight line with acceleration a and covers a distance s in a time t when it velocity reaches a final velocity v. then
s = (v+u/2)t ...............................(1)
a = v-u/t; v = u + at ......................(2)
Eliminating t in (1) and (2) to obtain
v2 = u2 + 2as ........................... (3)
Eliminating v in (1) and (2) to have
s = ut + (1/2)at2
These four equations are used in solving problems associated with uniformly accelerated motion.