When the angular velocity changes during a particular time| we say that ...

When the angular velocity changes during a particular time| we say that the body has angular acceleration which depends on such change in the angular velocity. The average angular acceleration using the initial angular velocity and the final angular velocities :

Since the torque occurs due to influence of external force F on ...

Since the torque occurs due to influence of external force F on an object of mass m| where the object will have a rotation motion around a rotational axis| thus we write the following:

The units of measurement are a fundamental part of physical quantities and ...

The units of measurement are a fundamental part of physical quantities and it required to define this quantity. The standard unit for a particular physical quantity is only valid for that quantity.

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2-1 Motion In this chapter we will examine the motion in one ...

2-1 Motion In this chapter we will examine the motion in one direction| which is the basic for understanding the motion in general| and during this study we will not studying the acting force (causing) the motion| which will be studied later in chapter five and six which explains Newton's laws and its applications. Our goal now is to understand the motion in one dimension| to reach that we need to define some physical quantities| such as the displacement of motion| speed and acceleration. At the last section of this chapter we will study the free fall and how to solve its problems.

Instantaneous velocities can be defined as the velocity of an object at ...

Instantaneous velocities can be defined as the velocity of an object at instant time. If we want to know the velocity of an object at a certain time and the position| we have to take limit of the average velocity when the time approaches zero.

When the velocity of an object changes| it means there are changes ...

When the velocity of an object changes| it means there are changes in the magnitude| or changes in the direction| or changes in both the direction and magnitude at the same time. In this case it is called that the object is moving with an average acceleration. Let us assume that υf and υi are the changes in the velocity and tf and ti are the changes in the time. Therefore average acceleration will be defined as:

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The instantaneous acceleration is measuring the acceleration at any particular instant time ...

The instantaneous acceleration is measuring the acceleration at any particular instant time during its motion| to be able to do that the object must be moving with a variable velocity. When the time interval t got smaller and smaller till approaches zero| the average acceleration will be known as the instantaneous acceleration at instant time| this means we need to take the derivative of the equation

When an object moves with a changing velocity with the time| we ...

When an object moves with a changing velocity with the time| we can say the object has acceleration. There are three deferent definitions of the acceleration:

Now studying the motion in one dimension| it will be the (x) ...

Now studying the motion in one dimension| it will be the (x) direction and the study of the motion in one direction and facilitate the study in two or three (which we will study later). Let us take the acceleration in the x- direction; we find that the average velocity and instantaneous acceleration they are equal if the acceleration is constant.

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The vector is represented by the symbol. The vector usually represents the ...

The vector is represented by the symbol. The vector usually represents the straight line between the two points (ab) as shown in Figure . The vector can be represented graphically be an angle with the x-axis and a magnitude (i.e. its length) as in the following figure.

The vector is represented by the symbol . The vector usually represents ...

The vector is represented by the symbol . The vector usually represents the straight line between the two points (ab) as shown in Figure (3-1) The vector can be represented graphically be an angle with the x-axis and a magnitude (i.e. its length) as in the following figure.

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Analytical method to add vectors is a way of representing a vector ...

Analytical method to add vectors is a way of representing a vector in to two component one in the x-axis and the anther in the y-axis| this happened as follow: If we have a vector A which make an angle Ө with the x-axis and its represented by the OP which makes the angle Ө as mentioned before. To find the x- and y- components of the vector| we make projections on the x-axis and y-axis to find Ax and Ay| as shown in the figure below. From the triangle shape therefore the two components will be as:

Vectors are not get added| subtracted| multiplied or even divided by the ...

Vectors are not get added| subtracted| multiplied or even divided by the traditional methods. One can only add two vectors of the same physical quantity. This mean that you can add vectors of displacement but you cannot add vector of displacement to a vector of velocity they must be the same physical quantity.

Vectors are not get added| subtracted| multiplied or even divided by the ...

Vectors are not get added| subtracted| multiplied or even divided by the traditional methods. One can only add two vectors of the same physical quantity. This mean that you can add vectors of displacement but you cannot add vector of displacement to a vector of velocity they must be the same physical quantity.

Vectors cannot be added | subtracted| multiplied or even divided by the ...

Vectors cannot be added | subtracted| multiplied or even divided by the traditional methods. One can only add two vectors of the same physical quantity. This mean that you can add vectors of displacement but you cannot add vector of displacement to a vector of velocity they must be the same physical quantity.

A vector whose magnitude is one in a particular direction is called ...

A vector whose magnitude is one in a particular direction is called a unit vector. It is used to represent the direction of that vector. At the time of writing vectors in three dimensions| we find it difficult to express in terms of vectors without identify their direction| A unit vector for Ax | Ay | Az are i | j | k | respectively| and they have a value of one (As shown in Figure (3-4)).

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