Experimental Harmonic Motion a Manual for the Laboratory

Cover Experimental Harmonic Motion a Manual for the Laboratory
Experimental Harmonic Motion a Manual for the Laboratory
G F C George Frederick Charles Searle
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External diameter =2^ = 5-00 cm. Internal diameter =2r= 0*96 cm.
Hence J/F=Jf (4 2 +i# 2 +|r 2 ) = 1108 x 5-75 = 0-00637 xlO 6 gm. Cm. 2 .
Distance of knife-edge from top of bob = 29'64 cm.
Hence =29-64 + ^ = 33-16 cm.
And- M1 2 = 1 108 x 33'16 2 = 1-2183 x 10 6 gm. Cm. 2 .
Then K 2 = Mb 2 + Ml 2 = 0-00637 X 10 6 4-1-2183 x!0 6 = 1-225 x 10 6 gm. Cm. 2 .
Hence #0 + ^2=2-676 x 10 6 + l'225x 10 6 =3'901 x 10 6 gm. Cm. 2 .
From the vibrations of the loaded pendulum we found #! = 3-907 x 10 6 gm. C
...m. 2 . Thus KI differs from K + K 2 by only 0'15 per cent.
EXPERIMENT 10. Determination of "g" by a rigid pendulum.
57. Introduction. In 49 it is shown that the periodic time of a rigid pendulum is given by where K is the moment of inertia of the pendulum about its axis of suspension, h is the distance of the centre of gravity from that axis and M is the mass of the pendulum. It was explained that this equation cannot be used for finding g, since the value of K cannot be satisfactorily found from the mass and dimensions of the pendulum.


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