Simple Harmonic Motion and frequency of a spring

AI Thread Summary
The discussion centers on understanding the quality factor (Q) of a spring-mass system undergoing simple harmonic motion (SHM). Q is defined as a measure of the system's damping, with higher values indicating less damping and longer-lasting oscillations. The system described involves a 2 kg mass attached to a spring, which extends 2.5 cm under the load, and oscillates with an amplitude of 1 mm. To determine the angular frequency, the spring constant can be calculated from the extension, and Q can be used to find the damping constant. The conversation emphasizes the relationship between Q, angular frequency, and damping in the context of SHM.
kidia
Messages
65
Reaction score
0
I have one question here,I fail to understood what is Q of the system,is anybody has an ideal on this?

An object of mass 2 kg hangs from spring of negligible mass. The spring is extended by 2.5 cm when the object is attached. The top end of the spring is oscillated up and down in SHM with amplitude of 1 mm. The Q of the system is 15.

What is angular frequency for this system?
 
Physics news on Phys.org
kidia said:
I have one question here,I fail to understood what is Q of the system,is anybody has an ideal on this?

"Q" is just a symbol until it is given a definition. What does your book say about it? What do your class notes say about it?

An object of mass 2 kg hangs from spring of negligible mass. The spring is extended by 2.5 cm when the object is attached. The top end of the spring is oscillated up and down in SHM with amplitude of 1 mm. The Q of the system is 15.

The system will certainly not execute SHM. It is driven by gravity.

What is angular frequency for this system?

What have you tried so far?
 
Sounds like Q is the frequency.
 
kidia said:
I have one question here,I fail to understood what is Q of the system,is anybody has an ideal on this?

An object of mass 2 kg hangs from spring of negligible mass. The spring is extended by 2.5 cm when the object is attached. The top end of the spring is oscillated up and down in SHM with amplitude of 1 mm. The Q of the system is 15.

What is angular frequency for this system?

Q is the quality factor. it is an indirect measure of the damping. A large Q means that the damping is small, the oscillation takes a while to die off (assuming no external force of course).

If I recall, Q = { \omega_d \over (b/m) }= {m \omega_d \over b}

where \omega_d \approx \omega_0.
From the fact that spring extends 2.5 cm with a mass of 2 kg you can find the spring constant. So you know omega_0. Knowing Q then gives you a way to find the damping constant. I am not sure about the rest of the steps, though...

Pat
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Back
Top