Analytical Mech Homework Solutions 110

Analytical Mech Homework Solutions 110 - 8 8.8(See Figure...

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8 8.8 (See Figure 8.4.1) Note that ll ′+ is the distance from 0 to , defined as 0 d From eqn. 8.4.13, 2 cm kl l = ( ) 22 2 cm kll l l l ′′ +=+= + cm += d 2 d From eqn. 8.4.9b, cm kk l =+ 2 = From eqn. 8.4.6, 2 2 k gl π = D T 2 d g = D T 8.9 Period of a simple pendulum: 2 a T M = Period of real pendulum: 2 I T Mgl = D (eqn. 8.4.5) Where moment of inertia I = distance to CM of physical pendulum l = distance to CM of bob a = radius of bob b = location of CM of physical pendulum: () 2 2 ab mM m a mab m la a mMm M M +−  == + =   a b + 1 mm b M Ma  =− −   Moment of inertia: 222 55 bob 2 I Mm a b Mma b =− + + 2 2 2 2 11 5 mb
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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