All Questions
Tagged with oscillators spring
111 questions
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What would be the sign of driving force in Force law for the spring mass system where the support itself oscillates? [duplicate]
Edit:There is a similar question asked by someone on physics stack exchange,but my question is about how assign Sign for the Driving force term.Is it intrinsically negative with respect to the ...
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Why does the damping coefficient not vary with mass?
I know that changing the mass of an oscillator (assuming that we are talking about spring-oscillations) will impact the velocity of the oscillator, (according to $\omega_n=\sqrt{\frac km}$).
So, ...
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Two blocks are connected by a spring; Why does ‘displaced slightly’ in the opposite direction imply ‘displaced equally’ in the opposite direction?
The question is as follows:
Consider the situation shown in figure (12-E10). Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic ...
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Mass of a Spring in Spring-Mass System [duplicate]
I’m working with the spring-mass system and we just derived the period of the oscillations. My question is:
Does the mass of the spring itself change the period in any way? And if so, is there a way ...
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Linear Triatomic Molecule
I am self-studying classical mechanics from the 3rd edition of Goldstein's Classical Mechanics. Right now, I'm working on Chapter 6, Problem 5, in which we are asked to consider a linear triatomic ...
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Beat frequency equation of coupled pendulums with same natural frequency displaced to unequal extents [closed]
When 2 pendula of same natural frequency connected by a common spring are displaced to unequal extents, I understand that this causes the superposition of 2 normal modes: Parallel and symmetrical, ...
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Boundary conditions for massive spring hanging vertically [closed]
I was trying to to find the poistion of the center of mass of a massive spring hanging vertically under the effect of gravity and I tried to model it with a finite number of springs attached ...
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Investigation Results of Damping of A Spring Showing Changing Phase Angle? Why?
In an experiment I've recorded the displacement of the spring over time, investigating underdamped simple harmonic motion.
Using pre-existing formulae the data should conform to a curve of the form
$$...
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Example of spring system modelled by $\ddot{x} + F(x,\dot{x}) \dot{x} + x = 0$, with given conditions on $F$
Consider the oscillator equation
$$\ddot{x} + F(x,\dot{x}) \dot{x} + x = 0$$
where $F(x,\dot{x}) < 0$ if $r \leq a$ and $F(x,\dot{x}) > 0$ if $r \geq b$, where $r^2 = x^2 + \dot{x}^2$. What ...
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What's the actuating force on a spring?
I'm trying to solve the following problem:
a) Consider a spring (of constant $K$) fixed on one end, $F_1$ is applied on the other such that $x=x_0\ cos(\omega t)$. What does $F_1$ have to be?
b) A ...
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Equation of motion for a driven mechanical oscillator
I'm trying to derive the differential equation for a driven horizontal mechanical oscillator.
If I suppose that a spring is fixed at one end and attached to a solid at the other end and that the solid ...
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What is the role of fictitious force in simple harmonic motion?
While I was searching about simple harmonic motion, Wikipedia defined it as,
"In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type of periodic motion of ...
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Damping constant (damped harmonic motion)
For damped harmonic motion, the equation for the damping force is F=-bv where F is the damping force exerted on the object, v the velocity of the object and b the damping constant.
For an experiment, ...
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Free body diagram of mass-spring system #2
I've attempted to draw a free body diagram of the forces acting on the mass again, but I'm confused about the directions. In many of the sources that I've read, they say that the Fres = Fs + F. Fs is ...
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Driving force of a mass-spring system
In a horizontal mass-spring system with one spring, an external source supplies a driving force from one end. I know that the force is periodic but I have trouble understanding the direction of the ...
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