Vibration: Negative and Positive Effects

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Questions and Answers

What is an action potential?

  • The process of a cell dividing
  • A single electrical change in a cell
  • The constant electrical state of a nerve cell
  • A series of electrical changes that occur in the membrane potential of excitable cells (correct)

Action potentials only occur in muscle cells.

False (B)

Name the two main phases that occur during an action potential.

Depolarization and repolarization

The initial phase of an action potential, where the inside of the cell becomes more positive, is called ______.

<p>depolarization</p> Signup and view all the answers

What characterizes the repolarization phase of an action potential?

<p>The cell becomes more negative, approaching the resting membrane potential (D)</p> Signup and view all the answers

Resting potential is typically a positive value.

<p>False (B)</p> Signup and view all the answers

If a cell's resting membrane potential is -70 mV, what does this indicate about the cell's charge?

<p>The inside is slightly negative relative to the outside (A)</p> Signup and view all the answers

What happens to the charge inside and outside of a muscle cell during depolarization?

<p>Inside becomes positive, outside becomes negative</p> Signup and view all the answers

Repolarization is the process where the potential in muscle cells ______ to its resting state.

<p>reverses</p> Signup and view all the answers

Which phase of the action potential occurs first?

<p>Depolarization (C)</p> Signup and view all the answers

Repolarization is a slower and longer process compared to depolarization.

<p>False (B)</p> Signup and view all the answers

What is the approximate value of the resting potential in millivolts (mV)?

<p>-70 mV</p> Signup and view all the answers

After repolarization the membrane potential briefly returns to its ______ potential.

<p>resting</p> Signup and view all the answers

Match the phase of action potential with its correct description.

<p>Resting potential = The membrane potential when the cell is at rest Depolarization = The initial phase when the inside of the cell becomes positive Repolarization = The phase when the cell returns to its resting potential</p> Signup and view all the answers

Why is it important for nerve and muscle cells to have a resting potential?

<p>Enables the cell to respond quickly to a stimulus (D)</p> Signup and view all the answers

Depolarization always leads to an action potential.

<p>False (B)</p> Signup and view all the answers

If a stimulus causes a nerve cell to become more negative than its resting potential, what is this called?

<p>Hyperpolarization (A)</p> Signup and view all the answers

In what type of cell is action potential observed?

<p>Muscle and Nerve Cell</p> Signup and view all the answers

The resting membrane potential is ______ mV.

<p>-70</p> Signup and view all the answers

Match the term to its correct definition.

<p>Action Potential = It is a series of electrical changes that occur in the membrane. Depolarization = Is the initial phase of action potential in which inside of muscles becomes positive and outside become negative. Repolarization = Is the second phase of action potential in which muscles reverses resting membrane.</p> Signup and view all the answers

Flashcards

What is action potential?

A series of electrical changes that occur in the membrane potential when a muscle or nerve is stimulated.

Depolarization

The initial phase of action potential where the inside of muscles or potential becomes positive and the outside becomes negative.

Repolarization

The second phase of action potential in which muscles reverse the resting membrane potential.

Resting Potential

The membrane potential of a neuron when it is not sending signals, typically around -70mV.

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Study Notes

  • Vibrations are oscillations around an equilibrium point in mechanical or structural systems.

Negative Effects of Vibration

  • Vibration can cause wear and energy loss in machines.
  • Vibration leads to passenger discomfort and safety risks in vehicles.
  • Vibration leads to catastrophic failure in structures.

Positive Effects of Vibration

  • Vibration has uses in vibratory conveyors for material transport.
  • Vibration has uses in vibratory compactors for concrete, soil, and grains.
  • Vibration testing machines use vibration for material, component, and structure analysis.
  • Vibration is essential in musical instruments and human speech.

Periodic Motion

  • Periodic motion is motion that repeats at consistent time intervals.

Cycle

  • A cycle represents the motion occurring during one interval in periodic motion.

Period (τ)

  • Period (τ) is the duration required for one complete cycle of motion in a vibrating system.

Frequency (f)

  • Frequency (f) is the number of cycles that occur per unit of time, and it is the inverse of the period (f = 1/τ).

Amplitude

  • Amplitude is the maximum displacement from the equilibrium position during vibration.

Harmonic Motion

  • Harmonic motion is the simplest form of periodic motion, described by: x = A sin(ωt)
  • x represents displacement at time t.
  • A represents the amplitude.
  • ω is the angular frequency in rad/sec.

Underdamped System

  • An underdamped system indicates oscillation with diminishing amplitude as time progress.

Critically Damped System

  • A critically damped system achieves equilibrium quickly without oscillation

Overdamped System

  • An overdamped system returns slowly to equilibrium without oscillating

Undamped Free Vibration

  • Consider a mass m attached to a spring with stiffness k.
  • When displaced and released, the mass oscillates at its natural frequency (ωn).
  • Natural frequency is given by: ωn = √(k/m)
  • The equation of motion: mẍ + kx = 0
  • ẍ is the acceleration of the mass.
  • The general solution: x(t) = A sin(ωn t) + B cos(ωn t)
  • A and B depend on initial conditions.

Damped Free Vibration

  • Consider mass m, spring stiffness k, and damper c.
  • The equation of motion is: mẍ + cẋ + kx = 0
  • ẋ is the velocity of the mass.
  • Damping ratio (ζ) defines damping: ζ = c/cc = c/(2√(mk))
  • cc is the critical damping coefficient.

Undamped Harmonically Excited Vibration

  • The equation of motion is: mẍ + kx = F₀ sin(ωt)
  • Assume a solution: x(t) = A sin(ωt)
  • Substitute to find amplitude: A = F₀ / (k - mω²) = (F₀/k) / (1 - (ω/ωn)²)
  • Where: ωn = √(k/m)
  • Define static displacement: xst = F₀/k
  • Resulting equation: A = xst / (1 - (ω/ωn)²)
  • (1 / (1 - (ω/ωn)²)) is the magnification factor.
  • Resonance occurs when ω = ωn, leading to infinite amplitude.
  • Resonance makes system sensitive even to small forces.

Damped Harmonically Excited Vibration

  • Equation of motion: mẍ + cẋ + kx = F₀ sin(ωt)
  • Assume: x(t) = A sin(ωt - φ)
  • Amplitude: A = xst / √((1 - r²)² + (2ζr)²)
  • Where: r = ω/ωn
  • Phase Angle: φ = tan⁻¹(2ζr / (1 - r²))

Vibration Isolation

  • Vibration isolation reduces the transmitted vibration from a source to a receiver.
  • Achieved with vibration isolators to reduce vibration transmission.
  • Vibration isolators use flexible materials with high damping.

Transmissibility Ratio

  • Tr = FT/F0
  • FT: Force transmitted to foundation.
  • F0: Excitation force.
  • Transmissibility ratio measures vibration isolator effectiveness.
  • A ratio of 1 indicates no isolation.
  • A ratio of 0 shows perfect isolation.
  • $T_r = \frac{\sqrt{1 + (2\zeta r)^2}}{\sqrt{(1 - r^2)^2 + (2\zeta r)^2}}$
  • Where: r = ω/ωn
  • Effective isolation occurs when r > √2.
  • Damping reduces transmissibility at resonance, increases it at high frequencies.

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