This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 89 dt d . This is related to the maximum velocity v rms of the magnet. I.2. Calculation of v rms : The maximum velocity of the magnet is clearly obtained at the equilibrium point i.e. at the bottom of the swing .The velocity v rms can be easily calculated. If M is the mass of the frame and magnet, l is the distance of the center of mass from the point of suspension of frame and magnet , and & O is the initial release angle , then by conservation of energy, we have 2 sin 2 ) cos 1 ( 2 2 max 2 1 O O l g M l Mg I & & = =(1) Thus 2 sin 2 max O I l g M & =(2) Thus the quantity I l g M is actually the natural fig 2 frequency of small oscillations .Thus if T is the time period of small oscillations , then l g M I T 2 =(3) Using eq (3) and v max = R max (R is the radius of the arc) we get 2 sin T R 4 v O max & =(4) I.4. We now give a rough argument that the maximum value of the emf...
View Full
Document
 Fall '09
 LIND

Click to edit the document details