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This 1 page Study Guide was uploaded by Usman Qureshi on Wednesday November 18, 2015. The Study Guide belongs to a course at a university taught by a professor in Fall. Since its upload, it has received 15 views.
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Date Created: 11/18/15
3 Last Lecture 3ntro to Simple Harmonic Motion 3Today 3More on Simple Harmonic Motion 3ntro to more accurate gravity formula 3 Important Concepts 3The physics of the motion is in the mass and spring constant which determine the period of each oscillation 3The amplitude does not affect the period 3Energy oscillates between Kinetic and Potential 3Gravity depends on M and inverse of distance squared 801 L Fall 2005 11222005 Important Reminders 3 IAP class schedule posted under General Info 3Lecture M 1112 T 1012 W 1012 F 1112 3Some recitations moved all still on Thursday 3 MasteringPhysics due next Tuesday 3 Pset 9 due next Friday 3 Have a relaxing holiday 3Give someone else an opportunity to be thankful Give blood at the student center today until 8pm 801 L Fall 2005 11222005 Energy in SHM 3 Summary 1 1 EM KE PE mv2 kx2 2 2 kA2 Am 2 Tltcosat 02 sin ot 02 kA2 1 2 Total T E vaax kA2 1 1 1 mv2 kx2 mv 4ax 2 2 2 2 801 L Fall 2005 11222005 Simple Harmonic Motion Summary 3 Basics Fx 2 kx md2t2 3General solution x Acosat 0 1 3 Practical solutions 3t0 when position is maximum X 14005000 and therefore v0 Vx Aw 5mm ax Aa2 coswt 3t0 when speed is maximum x ASinM and therefore a0 E Vx choswt and therefore x0 2 ax Aw2 8mm 801 L Fall 2005 11222005 Simple Harmonic Motion General 3Assume you know x amp v at t0 Call them x0 v0 3Then x0 Acos v0 Awsin 3Solve tan A x5 2 0x0 0 3 For small amplitudes a pendulum will also oscillate with simple harmonic motions with frequency 801 L Fall 2005 11222005 Gravity far from the Surface 3 Force depends on 3the product of the two masses 3the inverse square of the distance 2 3a universal constant G 6673 gtlt1011l2 3 Force points along the line between the two objects in the direction to cause attraction GM M A FG r 2 r 801 L Fall 2005 11222005
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