...oscillation will be in the centre of its base. In either case therefore, the time of vibration will be the same as that of a simple pendulum whose length is equal to the altitude of the triangle or of the cone. Other pendulums, whose lengths shall be equal to the distance...

...be exactly the same as if we had but one particle O. COR. 1. The time of oscillation of the system, is the same as that of a simple pendulum, whose length is CO. Hence, if we make CO = I, we shall have the time of one of the small oscillations = TT Л/ - •...

...value of 0. .•. Time of an oscillation = t = — / = тг l — • N '¿g J + a vV _ p N 3£ It is the same as that of a simple pendulum whose length is —, and is independent of the length of the rod. General Solution, by PROFESSOR GILL. Let m be the...

...when * = *', When ^ = — *', (5) becomes T^-JT— > , which is the time of anoscil(-.ffj lation ; it is the same as that of a simple pendulum whose length (=|?) is half that of the string. A somewhat similar question was proposed in the Lady's and Gentleman's Diary...

...centre of oscillation, and it is obvious that the time of oscillation of a compound pendulum is exactly the same as that of a simple pendulum whose length is equal to the distance of the centre of oscillation from the point of suspension. This distance is the virtual...

...called the centre of vibration, and it is obvious that the time of vibration of a compound pendulum is the same as that of a simple pendulum whose length is equal to the distance of the centre of vibration from the point of suspension. This distance is the virtual...

...called the centre of oscillation, and it is obvious that the time of oscillation of a compound pendulum is the same as that of a simple pendulum whose length is equal to the distance of the centre of oscillation from the point of suspension. This distance is the virtual...

...rotating solids ; for example, when a solid body oscillates about a fixed axis, the time of oscillation is the same as that of a simple pendulum whose length is equal to the square of the radius of gyration with reference to the axis of suspension, divided by the distance...

...of a ship rolling under these circumstances, that the time of her roll or oscillation is practically the same as that of a simple pendulum whose length is equal to the square of her radius of gyration divided by the height of the metacentre above the centre of gravity....

...length of the isochronous simple pendulum. 632. In every uniform bar the time of vibration about one end is the same as that of a simple pendulum, whose length is two-thirds of the bar ; the rod we have used is not strictly uniform, because of the knife-edges ;...