Effect of Breaking Mass on SHM Time Period & Amplitude

AI Thread Summary
Breaking a mass attached to a ruler affects the oscillation characteristics in simple harmonic motion (SHM). The amplitude is argued to increase because mass is inversely proportional to amplitude, while the time period is said to decrease as it is directly proportional to mass. However, energy considerations suggest that if the mass breaks when potential energy is at its maximum, the amplitude remains unchanged for the half still attached. The discussion highlights the complexity of the relationship between mass, amplitude, and time period in SHM. Ultimately, the original question about the effects of breaking mass on oscillations is resolved by the participants.
chocofingers
Messages
30
Reaction score
0
Could anybody temme what wuld happen to the time period and the amplitude of oscillations if a mass attaching to a ruler, lying horizontally on the table, is broken ...then what effect would this have on the amplitude and time period of oscillations?

I say that amplitude would increase because mass is inversely proportional to amplitude and time period would decrease since it is directly proportional to mass...
the two formulas i derived my answers are...

F = mr (omega)^2

and T^2 = 4 x pi^2 x m/k

Am I right?
 
Physics news on Phys.org
If I have understood your question (my english is not so good).
Using energy arguments if the mass brakes in two halfs when the potential energy is max, the potential energy is the same for the half attached to the spring since it just depends on the position of the mass, so the amplitude would be the same.
 
Last edited:
u didnt get my question :(

np ... i solved it! :)
 
Hello everyone, Consider the problem in which a car is told to travel at 30 km/h for L kilometers and then at 60 km/h for another L kilometers. Next, you are asked to determine the average speed. My question is: although we know that the average speed in this case is the harmonic mean of the two speeds, is it also possible to state that the average speed over this 2L-kilometer stretch can be obtained as a weighted average of the two speeds? Best regards, DaTario
The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
Thread 'Beam on an inclined plane'
Hello! I have a question regarding a beam on an inclined plane. I was considering a beam resting on two supports attached to an inclined plane. I was almost sure that the lower support must be more loaded. My imagination about this problem is shown in the picture below. Here is how I wrote the condition of equilibrium forces: $$ \begin{cases} F_{g\parallel}=F_{t1}+F_{t2}, \\ F_{g\perp}=F_{r1}+F_{r2} \end{cases}. $$ On the other hand...
Back
Top