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You're asking about the two springs with unequal stubbornness coefficients, right? In this case, it is still a simple harmonic vibration. The stubbornness coefficients of the two springs are added in the vibration formula, so it is not required that the stubbornness coefficients of the two springs are equal, and the limit case can also be considered--- there is only one spring.
If the air cushion is uneven, it is necessary to consider the friction force, and the motion made by the oscillator is not a strict simple harmonic vibration, and the period will also change.
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Still, 2 and the spring can actually be equivalent to a spring, they have always been the same direction of force and force, but the balance position is not in the **, you said that the air cushion is not level, I don't know what to say, we didn't use the air cushion when we did simple harmonic vibration in high school, so ......
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Simple harmonic movement. Press cosine over time.
or sinusoidal) regular vibration, or motion. It is also known as simple harmonic vibration.
Simple harmonic motion is the most basic and simple mechanical vibration. When an object is in simple harmonic motion, the force that the object is subjected to is proportional to the displacement and always points to the equilibrium position. It is a periodic motion that is determined by the nature of its own system.
Such as a single pendulum movement.
and spring oscillator motion) in fact, simple harmonic vibration is sinusoidal vibration. Therefore, in radioscience, a simple harmonic signal is actually a sinusoidal signal.
Extended Materials. Simple harmonic vibration displacement formula: x=asin t
Simple harmonic motion restoring force: f=-kx=-md 2x dt 2=-m 2x
2=k m simple harmonic motion periodic formula: t=2 2 (m k) 1 2
If the displacement of a particle is related to time, it follows a sinusoidal function.
The law of vibration, that is, its vibration image (X-T image) is a sinusoidal curve, and such vibrations are called simple harmonic motion.
r is the radius of uniform circular motion and the amplitude of simple harmonic motion.
is the angular velocity of a uniform circular motion.
Also called the circular frequency of simple harmonic motion, =k m);
It is the angle at which the object moving in a uniform circular motion at t=0 deviates from the diameter (counterclockwise is the positive direction of the opening beat), which is called the initial phase of simple harmonic motion. At time t, the displacement of the simple harmonic motion x = rcos( t+ ) the velocity of the simple harmonic motion v = - the acceleration of the simple harmonic motion of rsin( t+ ).
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1. Simple harmonic vibration [ jiǎn xié zhèn dòng ] is also known as "harmonic vibration". The process by which physical quantities change over time according to the law of sine or cosine. For example, the displacement, velocity, acceleration of the spring oscillator, the current and voltage of sinusoidal alternating current and other physical quantities change with time are in line with the law of simple harmonic vibration.
2. Under the action of the restoring force proportional to the shift of the first place of Lee, the object moves back and forth according to the sinusoidal law near its equilibrium position.
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Categories: Science & Engineering.
Problem description: Why the motion parameters of an object change with time according to the law of sine or cosine is the inevitable result of the external force on which the object is subjected to a force that is proportional to the displacement and the direction is always opposite.
Analysis: The accuracy of this problem requires knowledge of the "Ordinary Differential Equations" course in college mathematics.
First, the acceleration a is the second derivative of the displacement x versus time, i.e., a(t) x''(t).
Secondly, according to Newton's second law, the resultant external force is proportional to the acceleration: f(t) m a(t).
Finally, according to the conditions given to the void, the resultant external force is proportional to the displacement and in opposite directions: f(t) k x(t).
Combining the above three equations, the linear differential equation of the second-order constant coefficient of the frontal slow-friend with respect to the displacement x(t) is obtained
x’’(t)=-k*x(t)/m
The solution x(t) of this equation describes the state of motion of the object. It can be shown that the general solution of this equation is.
x(t)=a*sin(ω*t+φ)
where a, is an arbitrary constant, and is equal to the square root of k m. This is the equation of simple harmonic motion, and a and , respectively, are the amplitude (taken as an absolute value) and the initial phase.
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The definition of simple harmonic vibration is as follows:
Simple harmonic motion is the most basic and simple form of mechanical vibration. When an object is in simple harmonic motion, the force exerted on the object is proportional to the displacement and always points to the equilibrium position. It is a periodic motion (e.g., single pendulum motion and spring oscillator motion) that is determined by the nature of its own system.
In fact, simple harmonic vibration is sinusoidal vibration.
Simple harmonic vibration is the simplest and most basic vibration, and any complex vibration can be regarded as the synthesis of several simple harmonic movements. The basic laws of vibration and fluctuation are the basis of acoustics, science, electrical engineering, electronics, optics, etc.
Benefits of Studying Physics:
Physics is a natural science, which can help solve and understand many phenomena in life. Such as the application of electricity, optics, mechanics and transportation. In daily life, we should also master the knowledge of electricity, and need to have a certain understanding of the electrical environment, circuit, power, etc., and improve our knowledge in this area by learning physics, so as to achieve safe electricity use.
Due to the wide range of physics, there are many professions related to physics, and learning physics well also provides better conditions for the right beam industry. Learning physics well can also cultivate your logical thinking ability, and your understanding of things will also be helpful to a certain extent. In short, learning physics well can make your life better.
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1.When the displacement x of the particle from the equilibrium position varies with time t, it follows the cosine function or sine function: x=acos(2* *t t+ ) The linear vibration is a simple harmonic vibration.
where a is the absolute value of the maximum displacement of the space zone when the particle leaves the equilibrium position (x=0), which is called the "vibrating radiation", t is the period of the simple harmonic vibration, and the angle of (2* *t t+ ) is called the circumferential phase angle or phase of the simple harmonic vibration.
2.The motion of an object under the action of an external force that is proportional to the displacement and is in the opposite direction is called simple harmonic vibration.
3.The positive or negative displacement is the opposite of the positive or negative recovery force.
4.There is no direct relationship between the positive and negative posture of the speed orange and the positive or negative displacement and the positive or negative recovery force.
1.When the displacement of the particle from the equilibrium position x varies with time t, the law of the empty band follows the cosine function. >>>More