above situation is available as an example in planetary motion so you can get an answer if you see/observe say Earth moon system or saturn and its satellites and the Sun ...i think you can get a tested result.gpran said:A body of small mass- m1 is rotating around another mass- m2 with frequency f1. This two body system is rotating around a large mass M with frequency f2. What should be relation between f1 and f2 if we consider forces of gravity?
The frequency of small oscillations refers to the number of complete oscillations or cycles per second of a system that is undergoing small, repetitive back-and-forth movements around its equilibrium position.
The frequency of small oscillations can be calculated using the equation f = 1/(2π√(k/m)), where f is the frequency in Hertz (Hz), k is the spring constant of the system, and m is the mass of the object undergoing the oscillations.
The frequency of small oscillations is affected by the stiffness of the system (determined by the spring constant), the mass of the object, and the amplitude of the oscillations. In addition, the presence of damping forces can also affect the frequency.
The frequency of small oscillations is equal to the natural frequency of a system when the damping forces are negligible. The natural frequency is the frequency at which a system will oscillate without any external forces applied to it.
A pendulum swinging, a mass on a spring bouncing up and down, and a guitar string vibrating are all examples of small oscillations. The frequency of a pendulum depends on its length, with typical frequencies ranging from 0.5-2 Hz. The frequency of a mass on a spring depends on the spring constant and the mass, with frequencies usually ranging from 1-10 Hz. The frequency of a guitar string depends on the length, tension, and mass per unit length of the string, with frequencies typically ranging from 82-1318 Hz for standard tuning.