Oscillation Frequency: Horizontal vs Inclined Plane

[n3w ton]

How does the oscillation frequency compare when being horizontal and when being on an inclined plane (assuming frictionless).

I thought this:

When on Horizontal surface

frequency = angular frequency (w) / 2∏

Since frequency does not depend on acceleration, the frequency would remain the same?

 

[tiny-tim]

hi n3w ton!

Since frequency does not depend on acceleration …

why?

 

[KHMOU YOUSSEF]

HI,
you are describing frequency in what field exactly ?

It depends on the problem, a Radar EM wave travels with constant speed C , but the frequency is dynamic, it can start at 150 KHz and move toward 450Khz

 

[tiny-tim]

Welcome to PF!

Hi KHMOU YOUSSEF! WELCOME TO PF!

My guess is it's a mass on the end of a spring.

 

[sardar]

That is correct. When an object is on a horizontal surface, its oscillation frequency is determined by its angular frequency (w) divided by 2∏. This frequency remains constant regardless of the object's acceleration, as long as there is no external force acting on it.

However, when the same object is placed on an inclined plane, the oscillation frequency may change. This is because the object's acceleration is now affected by the angle of the plane and the force of gravity acting on it. Assuming a frictionless plane, the object will oscillate with a lower frequency on an inclined plane compared to a horizontal surface.

This can be explained by the fact that the component of the force of gravity acting on the object parallel to the inclined plane will cause a decrease in the object's acceleration. As a result, the object will take longer to complete one cycle of oscillation, resulting in a lower frequency.

In summary, the oscillation frequency of an object will remain constant on a horizontal surface, but it may decrease when placed on an inclined plane due to the influence of gravity.