Displacement, Velocity, Acceleration and Phasor Representation in SHM questions with solutions

Showing 1–10 of 60 questions

• MCQmediumSimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  Which one of the following statements is true for the speed v and acceleration a of a particle executing simple harmonic motion?

  Options

  • Option A

    When v is maximum, a is maximum.

  • Option B

    Value of a is zero, whatever may be value of v.

  • Option C

    When v is zero, a is zero.

  • Option D

    When v is maximum, a is zero.

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• Multi-correctmediumSimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  A particle starts from the mean position and moves towards the positive extreme in SHM. Which statements about its motion are correct?

  Select all that apply

  • Option A

    Time from x = 0 to x = A/2 is T/12.

  • Option B

    Time from x = A/2 to x = A is T/6.

  • Option C

    Equal displacement intervals do not generally require equal times.

  • Option D

    The particle slows down continuously while moving from the mean position to the extreme.

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• MCQmediumSimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  A particle executes SHM of amplitude A along the x-axis. At t = 0, its position is x = A/2 and it moves along the positive x-axis. If x = A sin(ωt + δ), the value of δ is:

  Options

  • Option A

    π/4

  • Option B

    π/2

  • Option C

    π/3

  • Option D

    π/6

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• NumericeasySimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  A particle executes SHM with amplitude 5 cm. When its displacement from the mean position is 3 cm, its speed is 16 cm/s. If the angular frequency is N rad/s, find N.

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• NumericmediumSimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  A particle is moving from the positive extreme towards the negative extreme in SHM. After passing x = +A/2, it reaches x = -A/2. If the time taken between these two positions is T/N, find N.

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• MCQmediumSimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  The radius of a circle, period of revolution, initial position and sense of revolution of a particle P are shown in the figure. The y-projection of the radius vector of rotating particle P is:

  

  Options

  • Option A

    y(t) = 4 sin(πt/2) m

  • Option B

    y(t) = 3 cos(3πt/2) m

  • Option C

    y(t) = 3 cos(πt/2) m

  • Option D

    y(t) = -3 cos(2πt) m

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• NumericmediumSimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  A particle executes simple harmonic motion with an amplitude of 4 cm. At the mean position, velocity of the particle is 10 cm/s. The distance of the particle from the mean position when its speed becomes 5 cm/s is √α cm, where α = ______.

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• MCQmediumSimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  Two particles execute SHM on the same line with x₁ = A sinωt and x₂ = A cosωt. What is the first positive time at which their velocities are equal in both magnitude and direction?

  Options

  • Option A

    T/8

  • Option B

    T/4

  • Option C

    3T/8

  • Option D

    T/2

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• MCQmediumSimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  Two particles P₁ and P₂ execute SHM along the same straight line about the same mean position. Their displacements are x₁ = A sinωt and x₂ = A cosωt. At t = 0 they are at different positions. What is the first positive time at which they meet?

  Options

  • Option A

    T/12

  • Option B

    T/8

  • Option C

    T/6

  • Option D

    T/4

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• NumericeasySimple Harmonic MotionDisplacement, Velocity, Acceleration and Phasor Representation in SHM

  The displacement of a particle executing SHM is given by x = 10 sin(ωt + π/3) m. The time period of motion is 3.14 s. The velocity of the particle at t = 0 is ______ m/s.

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