If you look at your circular motion path, you will see that the initial position and the final position are the same even after hitting ten turns. And after you hit ten turns on the circular path you were asked “How much is your displacement”? In the case of equilibrium condition of system, the acceleration of the system will always be zero.Įxample8 Suppose you are moving in a circular path on a bike. Then we can write external force and torque in the form of zero vector. That is, if the applied external force and torque on a system is zero, the system will be in an equilibrium state. Then the total torque of the particle will beĮxample7You must have read the equilibrium condition of the system. Thus, when the force is applied in the direction of motion of the particle, the angle between the position vector and the force will be zero. And torque is the main cause of rotational motion.Īlso, if you look at vector algebra, you will see that there is an important relation between force and torque. In that case, the force cannot convert the linear motion of the particle to rotational motion. At this point, you are asked what is the torque of the particle?įorce is applied in the direction of motion of a particle. If you look at the speed of the system, you will see that according to Newton’s third law, the total internal force of the system will be zero.Įxample6 The force is being applied along with the direction in which a particle is moving. And in this case what will be the total internal force of the system. Then we can write the total applied force as zero-vector.Įxample5 Suppose you take a system of n particles. So, look at the figure below so you can understand the concept better. In this case, the total applied force on the object is zero. That is, since the particle is moving in space at a constant velocity, the acceleration of the particle will be zero.Įxample4 Applying equal force along the horizontal from two opposite sides on an object. For this, you feel constant seeing the position of the passengers of the second train.Īnd in this case, the velocity of the first train and the velocity of the second train will always be equal.Įxample3 Suppose a particle is in equilibrium state. That is, the relative velocity of the other train will be zero relative to you. When you look at the passengers of the other train, its position seems constant to you. With the exception of a few moments, another train has started its journey on your side. In this case, if you look at your journey, you will see that your total displacement is zero.Įxample2 You are sitting on a train and the train has started moving towards the destination with v speed. Here are some real-life examples where zero vectors are used all the time.Įxample1 Suppose you went to Los Angeles from California for some work and came back to California in exactly the same way after you finished your work. Thus, the use of vector algebra null vectors is essential. In the same way, the zero vector actually exists but it does not have direction and value.Īnd in this case, the initial point and the final point are not different but meet at the same point. Then we can write pĪnd graphically, the zero vector is represented by points. Simply put, zero vectors are those vectors that have no specific direction and the absolute value is zero.Īnalytically, all these vectors are denoted by arrow marks above zero. Zero-vectors represent those measurable physical quantities that have no specific direction and absolute value. Then the question may come to your mind what is the difference between scalar zero and vector zero. Then which will be the displacementīut you can always describe the absolute value of the vector by a scalar. So, if you have to write the equation correctly, you have to write zero as a vector. You can better understand by looking at the equation above that the displacement is represented by a vector but the zero is represented by a scalar. Because you cannot represent any vector sum by a scalar. But, the equation written above is meaningless. Many of you will find the above equation to be true. Since the distance of the particle is zero then the displacement of the particle will also be zero. Then the total distance of the particle will be Suppose the total external force on a particle is zero.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |