simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same. The force responsible for the motion is always directed toward the equilibrium position and is directly proportional to the distance from it . shm 2
hooke’s law F = − k x where x is the amount of deformation (the change in length, for example) produced by the restoring force F, and k is a constant that depends on the shape and composition of the object . 4 Restoring Force – the force which causes simple harmonic motion to occur. This force is proportional to the displacement from equilibrium & always directed towards equilibrium .
Sample problem 6 If a cart is loaded of 67N stretches a vertical spring 2cm from its rest position, what it the spring constant ?
Mass spring system period 7 A spring-mass system in simple terms can be described as a spring sytem where a block is hung or attached at the free end of the spring. The spring-mass system can usually be used to find the period of any object performing the simple harmonic motion The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant. ;
Sample problem What is the period of a spring that oscillates with a constant spring of 300.2 N/m and has a mass of 0.50 kg?
9 SHM- SIMPLE PENDULUM A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. The higher you lift it in one direction, the more power to swing up on the other side will you give it. You will perhaps notice the power in it's weight and resistance, more when you let it go. ;
Sample problem Develop winning strategies to keep ahead of the competition Capitalize on low hanging fruit to identify a ballpark value Visualize customer directed convergence What period would you expect from pendulum of length 0.5 m on the moon where g= ?