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# Equations of motion

This principle has been applied in motors. In many cases, the quantity of friction is depended on the parts mechanisms, ball bearings quality, and the amount of lubricants within the mechanism (Adams, 28). Additionally, rolling objects are mostly used as transportation tools. One key way is through keeping the object on a number of rollers that are lined-up. The wheel objects are normally moved along a straight line, especially when the wheels are replaced continuously to the front. For a rolling object, the particle velocity is normally given by; From equation one r represents the distance linking the contact point of the rolling object and the particle, and w represents the angular velocity of the rolling object.

Mechanical energy of a rolling object can be defined as kinetic energy plus potential energy in the system of an object. For mechanical energy to be conserved, the sum of potential and kinetic energies in the system should always remain constant especially when the object is only affected (Adams, 18) by conservative forces. For uniform acceleration to occur, the equations that are normally used to describe the object’s motion include: From these equations u represents the initial velocity, v represents the final velocity, represents acceleration, t represents time, and s represents displacement of the particle (Walker, 10).

So as to give more insight regarding the rolling motion, an experiment was set to investigate the rolling motion of objects. The aim in this part is to derive equations that will be utilized in defining the motion of our object in question in terms of three kinematic variables: time, velocity, and displacement. There are three different ways to pair up the variables: displacement-time, velocity-displacement, and velocity-time.

The three are also often known as the first, second, and third motion equations, though there is no fascinating reason to study these names. Being that we are concerned with motion occurring in straight line, symbol x shall be adopted for displacement. Direction will also be donated by the sign (negative magnitudes point by the −x while positive magnitudes point in +x direction). The relation between time and velocity is an easy one when dealing with continuously accelerated, straight-line motion. Continuous acceleration means the rate of change in velocity is unvarying.

The lengthier the acceleration is, the more the

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