Write the equation for simple harmonic motion (x-t),(v-t), and find v at t=2s and t=3s if the object is initially at the right extreme of or

Question

Write the equation for simple harmonic motion (x-t),(v-t), and find v at t=2s and t=3s if the object is initially at the right extreme of origin and moving in the negative x-direction. (A=2cm, T=8s)

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Amity 3 years 2021-08-14T03:33:49+00:00 1 Answers 55 views 0

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  1. mocmien2
    0
    2021-08-14T03:35:31+00:00
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    Answer:

    Explanation:

    T = 8 s

    angular frequency ω = 2π / T

    = 2 π / 8

    = π / 4

    x ( t ) = A ( sinωt + π / 2 ) because initial phase difference is π / 2

    = A cos ωt

    = A cos π t / 4  

    v = Aω sinωt

    = 2 x π / 4 sinωt

    = .5 π sinπt / 4

    when t = 2

    v = .5 π sinπ x 2 / 4

    = .5 π x 1

    = 1.57  cm /s

    At t = 3 s

    v = .5 π sin π x 3 / 4

    = .5 π sin 135°

    = .5 π / √ 2

    = 1.11 cm /s

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )