8/12/2023 0 Comments Simple harmonic motion definitionLinear SHM or linear simple harmonic motionĪn object moves back and forth about an equilibrium position along a straight line. When an object oscillates angularly with respect to an axis, it is known as angular SHM or angular simple harmonic motion.Īngular acceleration or restoring torque acting on the object must be proportional to the angular displacement of that object and directed towards the equilibrium position. Simple harmonic motion or SHM can be divided into two types:Īngular SHM or angular simple harmonic motion The movement is maintained because of simple harmonic motion. When the sound waves enter our ears, it makes our eardrums vibrate back and forth.Ī single push to the cradle causes it to move back and forth. The up and down oscillation of the jumper is an example of SHM because of the elasticity of the cord.Īnother simple harmonic example is the process of hearing. It moves back and forth in repetitive movements.Īnother simple harmonic motion example is bungee jumping. It is one of the most common examples of simple harmonic motion.Īnother example of the simple harmonic motion is a swing. Here are some objects that undergo a simple harmonic motion:Ī pendulum oscillates to and from equilibrium position. ![]() To understand simple harmonic motion, we will now take the help of some examples. Therefore we can represent the frequency as: The frequency of simple harmonic motion is the total number of oscillations taken by the object per unit of time. The time period is the time required by the object to complete one oscillation. In that case, the acceleration (a) will be: The unit of this term ‘k’ is Newton per meter. The term ‘k’ in this equation is a constant term called the force constant. In this equation, the negative sign (-) shows that the force is directed towards the opposite direction. Thus we can represent the restoring force as: Let us now use F to denote force and x to denote the displacement of the spring from the equilibrium position. Whenever the spring is displaced from its mean position, a force is exerted by the spring directed towards the equilibrium or mean position. When someone pushes the spring inwards, then the force is applied by the spring towards the central position (in this case, outwards). When someone pulls the spring outwards, i.e., when the external force is applied, then you will notice that an equivalent force is applied by the spring towards the central equilibrium position (in this case, inwards). ![]() ![]() In case of no external force, the spring remains in its resting position, i.e., the mean/central/equilibrium position. Imagine that spring is placed at a surface. Let us understand the simple harmonic motion formula using an example. The restoring force is directed towards the equilibrium point, and it is directly proportional to the displacement of the object from the central position. ![]() Simple harmonic motion definition: Simple harmonic motion is a repetitive to and fro motion through the central equilibrium position. Let us now dig into the details to know more about the topic. This relationship that we have just studied is known as Hooke’s law. In this equation, f is used to represent force and x is used to represent displacement, and k is the constant term. The restoring force is always directed to the equilibrium position, and it is also directly proportional to the displacement of the object from the central position. The maximum displacement of the object from one end to the central point is equal to the maximum displacement from the other end to the central point as a result, the time interval of two vibrations is the same. A simple harmonic motion can be described as a repetitive to and fro motion through the central point/position or equilibrium position.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |