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University of Sargodha, Gujranwala Campus.
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In this course on Engineering Mechanics, we shall be learning about mechanical interaction betwee... more In this course on Engineering Mechanics, we shall be learning about mechanical interaction between bodies. That is we will learn how different bodies apply forces on one another and how they then balance to keep each other in equilibrium. That will be done in the first part of the course. So in the first part we will be dealing with STATICS. In the second part we then go to the motion of particles and see how does the motion of particles get affected when a force is applied on them. We will first deal with single particles and will then move on to describe the motion of rigid bodies. The basis of all solutions to mechanics problems are the Newton's laws of motion in one form or the other. The laws are: First law: A body does not change its state of motion unless acted upon by a force. This law is based on observations but in addition it also defines an inertial frame. By definition an inertial frame is that in which a body does not change its state of motion unless acted upon by a force. For example to a very good approximation a frame fixed in a room is an inertial frame for motion of balls/ objects in that room. On the other hand if you are sitting in a train that is accelerating, you will see that objects outside are changing their speed without any apparent force. Then the motion of objects outside is changing without any force. The train is a non-inertial frame. Second law: The second law is also part definition and part observation. It gives the force in terms of a quantity called the mass and the acceleration of a particle. It says that a force of magnitude F applied on a particle gives it an acceleration a proportional to the force. In other words F = ma , (1) wherem is identified as the inertial mass of the body. So if the same force-applied either by a spring stretched or compressed to the same length-acting on two different particles produces accelerations a 1 and a 2 , we can say that m 1 a 1 = m 2 a 2 or (2) Thus by comparing accelerations of a particle and of a standard mass (unit mass) when the same force is applied on each one them we get the mass of that particle. Thus gives us the definition of mass. It also gives us how to measure the force via the equation F = ma. One Newton (abbreviated as N) of force is that providing an acceleration of 1m/s 2 to a standard mass of 1 kg.
In this course on Engineering Mechanics, we shall be learning about mechanical interaction betwee... more In this course on Engineering Mechanics, we shall be learning about mechanical interaction between bodies. That is we will learn how different bodies apply forces on one another and how they then balance to keep each other in equilibrium. That will be done in the first part of the course. So in the first part we will be dealing with STATICS. In the second part we then go to the motion of particles and see how does the motion of particles get affected when a force is applied on them. We will first deal with single particles and will then move on to describe the motion of rigid bodies. The basis of all solutions to mechanics problems are the Newton's laws of motion in one form or the other. The laws are: First law: A body does not change its state of motion unless acted upon by a force. This law is based on observations but in addition it also defines an inertial frame. By definition an inertial frame is that in which a body does not change its state of motion unless acted upon by a force. For example to a very good approximation a frame fixed in a room is an inertial frame for motion of balls/ objects in that room. On the other hand if you are sitting in a train that is accelerating, you will see that objects outside are changing their speed without any apparent force. Then the motion of objects outside is changing without any force. The train is a non-inertial frame. Second law: The second law is also part definition and part observation. It gives the force in terms of a quantity called the mass and the acceleration of a particle. It says that a force of magnitude F applied on a particle gives it an acceleration a proportional to the force. In other words F = ma , (1) wherem is identified as the inertial mass of the body. So if the same force-applied either by a spring stretched or compressed to the same length-acting on two different particles produces accelerations a 1 and a 2 , we can say that m 1 a 1 = m 2 a 2 or (2) Thus by comparing accelerations of a particle and of a standard mass (unit mass) when the same force is applied on each one them we get the mass of that particle. Thus gives us the definition of mass. It also gives us how to measure the force via the equation F = ma. One Newton (abbreviated as N) of force is that providing an acceleration of 1m/s 2 to a standard mass of 1 kg.