...multiplied into the distance of the centre of gravity from the centre of motion, the quotient will be the distance of the centre of oscillation from the point of suspension. Let BD (fig. 204.) represent an orthographic projection of the body upon a plane perpendicular to the...

...each side be equal. If the pendulum be an inflexible rod, every where of equal size, it is found, that the distance of the centre of oscillation from the point of suspension is two-thirds of the length of the rod. If, whilst a pendulum is in motion, it meets with an obstacle...

...glass be made exactly to balance the expansion and contraction of the pendulum rod, so as to preserve the distance of the centre of oscillation from the point of suspension invariably the same. Mr. Graham made a clock of this kind, and compared it with one of the best of...

...of these centres in various bodies. Previous to this, however, we may here shew how ' 307. To find the distance of the centre of oscillation from the point of suspension experimentally. Suspend the body proposed very freely by the given point, and make it vibrate in small...

...5:2:: 3-1416лг : •5236л;* :: 6 : x = 2'4. And, from Dr. Hutton's Dictionary, то!. 1, page 268, the distance of the centre of oscillation from the point of suspension will be found = 9-8 inches. Therefore д/9-8 : \/39% :: 60 : 120 the number of vibrations made in one...

...the centre of oscillation, and the vibrations in both positions will be performed in equal times. Now the distance of the centre of oscillation from the point of suspension, depending on the figure of the body employed, if the arrangement of its particles be changed, the place...

...centre of oscillation, and tlie vibrations in both positions will be performed in equal times. Now, the distance of the centre of oscillation from the point of suspension, depending on the.figurc ef the body employed, if the arrangement of its particles be changed, the place...

...centre of oscillation, and the vibrations in both positions will be performed in equal times. Now, the distance of the centre of oscillation from the point of suspension, depending on the//£we of the body employed, if the arrangement of its particles be changed, the place...

...centre of gravity and that point. Call S the point of suspension, () the centre of oscillation, or SO the distance of the centre of oscillation from the point of suspension ; also let s he the fluxion of the body at the distance x ; then the above formula becomes Jiu. xx...

...pendulums vibrating in equal arcs of a vertical circle, will perform those equal vibrations in the same time, if their length (which is the distance of the...point of suspension. 3rd. The shorter vibrations are per- formed in less time than the longer, and equal vibrations are only locally isochronal, altering...