PHYS 211 Lecture Notes - Lecture 23: Torsion Spring, Simple Harmonic Motion
4 May 2015
School
Department
Course
Professor
Document Summary
Phys 211- lecture 23- simple and physical pendula. Newton"s second law and simple harmonic motion (shm) a= d(v ) d (t) A torsion pendulum is composed of a wire fixed a one end and is attached to a rotating disk on its other end. The rotating disk causes the wire to twist and exert a restoring force on the disk to return back to its original position. This rotation back and forth is an example of shm. It is the rotational analog to the shm seen with an oscillating mass on a spring. displacement is rotational d2(t) d (t) We can take the general expression of shm and alter it for rotational motion x (t)= acos( t) (t)= max cos( t + ) =the angular frequency , now onwe will express the angular velocity as d dt. Pendula experience shm due to a restoring torque provided by gravity. G=mgx x= pendulum" s displacement the equilibrium position.
