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Time taken to move between two given positions in SHM

This type of question, asked 4 times: 27 Jun 2022, 25 Jan 2023, 29 Jan 2024, 6 Apr 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    27 Jun 2022

    114
    A particle executes simple harmonic motion. Its amplitude is 8 cm8\text{ }cm and time period is 6 s6\text{ }s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is ____\_\_\_\_ s.

  2. Question 2

    27 Jun 2022

    15
    The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is:

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  3. Question 3

    25 Jan 2023

    105
    A particle executes simple harmonic motion between x=−Ax = - A and x=+Ax = + A. If time taken by particle to go from x=0x = 0 to A2\frac{A}{2} is 2 s2\text{ }s; then time taken by particle in going from x=A2x =\frac{A}{2} to AA is

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  4. Question 4

    29 Jan 2024

    115
    A simple harmonic oscillator has an amplitude A and time period 6π6\pi second. Assuming the oscillation starts from its mean position, the time required by it to travel from x=Ax=A to x=32Ax=\frac{\sqrt{3}}{2}A will be πx s\frac{\pi}{x}\text{ }s, where x=x = ____

  5. Question 5

    6 Apr 2026 S1

    12
    A particle is executing simple harmonic motion. Its amplitude is A and time period is 5 sec . the time required by it to move from x=Ax=A to x=A2x=\frac{A}{\sqrt{2}} is ____\_\_\_\_ sec.

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