An alternative definition of simple harmonic motion is to define as simple harmonic motion any motion that obeys the differential equation \ \ref11. Note that in applying this result you must use radians. This is done for the case of the oscillating springmass system in the table below and the three functions are shown in figure 3. Phys 200 lecture 17 simple harmonic motion open yale. An account is given for the simplest kind of oscil latory motion, due to a linear restoring force and without dissipation. Oftenly, the displacement of a particle in periodic motion can always be expressed in terms of. In general, the name displacement is given to a physical quantity which undergoes a change with time in a periodic motion. Shm occurs when a particle or body is displaced from an equilibrium position and experiences a restoring force i. It is mainly two typelinear shma particle executing linear simple harmonic motion oscillates in straight line periodically in such a way that the acceleration is proportional to its displacement from a fixed point, and is always directed towards that point. Simple harmonic motion pdf candidates can download the simple harmonic motion shm pdf by clicking on below link. Simple harmonic motion notes containing numericals, derivations, definitions, etc.
Any motion that repeats itself after regular intervals of time is known as a periodic motion. Simple harmonic motion 5 shm hookes law shm describes any periodic motion that results from a restoring force f that is proportional to the displacement x of an object from its equilibrium position. Questions 4 the maximum acceleration of a particle moving with simple harmonic motion is. Note that the block is moving in the negative x direction at time t. Simple harmonic motion example problems with solutions pdf. Simple harmonic motion or shm is the simplest form of oscillatory motion. The examples of periodic motion are the motion of planets around the sun, motion of hands of a clock, motion of the balance wheel of a watch, motion of halleys comet around the sun observable on the earth once in 76 years.
Simple harmonic motion shm notes class 11 notes edurev. Notes for simple harmonic motion chapter of class 11 physics. Pdf this chapter is intended to convey the basic concepts of oscillations. Simple harmonic motion shm is caused by a restoring force. Mfmcgrawphy 2425 chap 15haoscillationsrevised 102012 4 characteristics of shm. Elastic limit if exceeded, the spring does not return to its original shape. All oscillatory motions are simple harmonic motion. Simple harmonic motion simple harmonic motion shm occurs when the restoring force the force directed toward a stable equilibrium point is proportional to the displacement from equilibrium. Professor shankar gives several examples of physical systems, such as a mass m attached to a spring, and explains what happens when such systems are disturbed.
Simple harmonic motion study material for iit jee main. An object on the end of a spring is oscillating in simple harmonic motion. Shm arises when force on oscillating body is directly proportional to the displacement from its equilibrium position and at any point of motion, this force is directed towards the equilibrium position. A particle is said to be execute simple harmonic oscillation is the restoring force is directed. Mar 25, 2020 simple harmonic motion shm notes class 11 notes edurev is made by best teachers of class 11. The focus of the lecture is simple harmonic motion. Any motion, which repeats itself in equal intervals of time is called periodic motion. Unit 8 simple harmonic motion and waves ap physics 1.
1395 1253 1517 491 799 923 199 1033 1251 960 1315 334 1537 644 1239 224 295 998 1595 1420 1426 449 225 1269 141 587 12 417 1487 1136 844 616 675 36 1162 904 430 1308 597