Calculating Period and Frequency of a Mass-Spring System

AI Thread Summary
To calculate the period and frequency of a mass-spring system with a spring constant of 180 N/m and a mass of 1.5 kg, the relevant formula is T = 2π√(m/k). The period (T) can be determined using this equation, which relates mass and spring constant. The frequency (f) can then be calculated as f = 1/T. The discussion highlights confusion regarding the need for displacement or elastic force, but emphasizes that the mass and spring constant are sufficient for these calculations. Understanding the relationship between mass, spring constant, period, and frequency is crucial for solving the problem.
tallbus1
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Homework Statement


A spring with a spring constant of 1.8 X 102 N/m is attached to a 1.5 kg mass and then set into motion.

a. What is the period of the mass-spring system?
b. What is the frequency of the vibration?

Homework Equations


The only one that comes to mind would be Hooke's Law
Fe = -kx

The Attempt at a Solution


The issue is that it gives a mass, but neither displacement, nor Felastic, which makes me wonder whether I'm using the wrong equation, or I'm not fully understanding the equation, as the only variable I have here that fits is -k (spring constant), unless of course Felastic can be related to Fg (MG) in some way.
 
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None of these equations exactly answer the problem, one of them doest mention when a mass is added to the end, but it requires you using Frequency, while I don't have the frequency...
After watching a lecture on that wikipedia page he explained the equation:

T= 2Pie sqroot(m/k)

This will solve my problem nicely, thank you!
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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