Some modules occasionally refer to the connection between uniform circular motion and simple harmonic motion. Pdf how does uniform circular motionucm relate to simple. The centripetal acceleration has to be provided by some other force tension, friction, normal force in order for circular motion to occur. We can conclude that, if a particle moves in a uniform circular motion, its projection can be said to move in a simple harmonic motion, where the axis of oscillation is the diameter of the circle or in other words, simple harmonic motion is the projection of uniform circular motion along the diameter of the circle on which the circular motion. Calculate the time interval until they next move in phase. Simple harmonic motion and the reference circle webassign. Pdf on dec 16, 2016, gokhan egri and others published how does uniform circular motionucm relate to simple. Simple harmonic motion as a projection of uniform circular motion.
Uniform circular motion and simple harmonic motion physics. The magnitude of force is proportional to the displacement of the mass. Simple harmonic motion and uniform circular motion definition. Demonstrating that circular motion, when viewed from the side, is simple harmonic motion. Shm as projection of circular motion and phase of shm. In this article we are going to explain the statement uniform circular motion can be interpreted as a shm. Thus, the period of the motion is the same as for a simple harmonic oscillator. A ball is attached to a uniformly rotating vertical turntable, and its shadow is projected on the floor as shown. Natural oscillations the oscillations so far have been free oscillations. In a a mass point moves in a horizontal circular path with uniform circular motion at a radius r for example, it might be glued to the edge of a spinning disk of radius r. How does uniform circular motionucm relate to simple harmonic motionshm 1. While you may be able to define motion as it relates to science, do you know how simple harmonic, circular, linear and projectile motion differ. He is in a state of freefall the force of gravity cannot be felt. Uniform circular motion and simple harmonic motion college.
Consider a circle with a radius a, moving at a constant angular. Simple harmonic motion can be describes as a projection of an object doing uniform circular motion. Also, the concept of phase related to shm can be easily described using this approach. The force is always opposite in direction to the displacement direction. A of the reference circle, then, is the amplitude of the simple harmonic motion.
The ball mounted on the turntable moves in uniform circular motion, and its shadow. So observing the projection of uniform circular motion, as in link, is often easier than observing a precise largescale simple harmonic oscillator. Simple harmonic motion at left is a projection of the uniform circular motion at right. Comparing simple harmonic motionshm to circular motion. Simple harmonic motion and uniform circular motion youtube. A projection of uniform circular motion undergoes simple harmonic oscillation. Circular motion and shm all higher level thephysicsteacher. Consider a circle with a radius a, moving at a constant angular speed a point on the edge of the circle moves at a. Shm and uniform circular motion in urdu hd fsc physics book 1 chapter 7 topic 7. We have determined the period for any simple harmonic oscillator using the relationship between uniform circular motion and simple harmonic motion.
887 1394 863 396 621 401 1173 1542 983 597 285 278 1122 94 1007 492 7 224 150 707 1293 1169 1008 540 937 801 230 254 1084 624 1427 597 761 1095 1413 320 442 605 412 1136 448