Simple Harmonic Motion
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Questions and Answers

What is the significance of the negative sign in the equation F = -ky?

  • It indicates the force is proportional to the square of the displacement
  • It indicates the direction of force is in the same direction as displacement
  • It indicates the direction of force is opposite to the displacement (correct)
  • It indicates the force is inversely proportional to the displacement

    • What is the physical significance of the term ω² in the equation ω² = k/m?

  • It represents the spring constant of the spring
  • It represents the angular frequency of the oscillation (correct)
  • It represents the amplitude of the oscillation
  • It represents the moment of inertia of the particle

    • What is the kinetic energy of the particle when it is at its extreme position?

  • Equal to the potential energy
  • Zero
  • Maximum
  • Minimum (correct)

    • What is the physical significance of the term 'a' in the equation a = -ky/m?

    <p>It represents the acceleration of the particle</p> Signup and view all the answers

    What is the total mechanical energy of the system at any given time?

    <p>It is equal to the sum of kinetic and potential energy</p> Signup and view all the answers

    What is the effect of increasing gravity on the time period of a simple pendulum?

    <p>It decreases</p> Signup and view all the answers

    What is the inertia factor of a simple pendulum?

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

    What happens to the time period of a simple pendulum when the temperature increases?

    <p>It increases</p> Signup and view all the answers

    What is the relationship between the amplitude and the time period of a simple pendulum?

    <p>The time period is independent of the amplitude</p> Signup and view all the answers

    What is the spring factor of a simple pendulum?

    <p>mg/l</p> Signup and view all the answers

    What is the relationship between the acceleration and displacement of a harmonic oscillator?

    <p>Acceleration ∝ – (Displacement)</p> Signup and view all the answers

    What is the physical significance of the inertia factor 'm' in a linear SHM?

    <p>It is the mass of the body executing SHM</p> Signup and view all the answers

    What is the effect of gravity on the amplitude of a harmonic oscillator?

    <p>Gravity has no effect on the amplitude of the oscillator</p> Signup and view all the answers

    What is the physical significance of the spring factor 'k' in an angular SHM?

    <p>It is the restoring torque per unit angular displacement</p> Signup and view all the answers

    How does the temperature affect the period of a harmonic oscillator?

    <p>The period remains constant with change in temperature</p> Signup and view all the answers

    What is the velocity of the particle at the mean position in SHM?

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

    What is the direction of the velocity of the particle in SHM?

    <p>Either towards or away from the mean position</p> Signup and view all the answers

    What is the acceleration of the particle at the extreme position in SHM?

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

    What is the relationship between the force and acceleration in SHM?

    <p>F = -mA</p> Signup and view all the answers

    What is the shape of the graph between the velocity and displacement of a particle in SHM?

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

    What is the kinetic energy of a particle in simple harmonic motion when it is at its mean position?

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

    What is the relationship between acceleration and displacement in simple harmonic motion?

    <p>Acceleration is inversely proportional to displacement</p> Signup and view all the answers

    What is the maximum value of force in simple harmonic motion?

    <p>mω²a</p> Signup and view all the answers

    What is the potential energy of a particle in simple harmonic motion at its extreme position?

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

    What is the frequency of variation of kinetic energy in simple harmonic motion?

    <p>2ω</p> Signup and view all the answers

    What is the expression for the kinetic energy of the particle in S.H.M.?

    <p>1/2 mω²(a² - y²)</p> Signup and view all the answers

    What is the phase angle by which acceleration leads velocity in S.H.M.?

    <p>π / 2</p> Signup and view all the answers

    What is the maximum potential energy in S.H.M.?

    <p>1/2 ka²</p> Signup and view all the answers

    What is the ratio of acceleration amplitude to displacement amplitude in S.H.M.?

    <p>ω²</p> Signup and view all the answers

    What is the force at the mean position in S.H.M.?

    <p>0</p> Signup and view all the answers

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