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9 November, 09:15

Particle with a mass of 1.7 * 10-20 kg is oscillating with simple harmonic motion with a period of 3.4 * 10-5 s and a maximum speed of 2.6 * 103 m/s. calculate (a) the angular frequency and (b) the maximum displacement of the particle.

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  1. 9 November, 12:00
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    (a) angular frequency = ω=184706 rad/s

    Explanation:

    angular frequency = ω = 2π/T

    T = time period = 3.4 x 10⁻⁵ s

    ω = 2π / (3.4 x 10⁻⁵)

    ω=184706 rad/s

    (b) maximum displacement of the particle = a=0.0141 m

    Explanation:

    maximum velocity is given by Vmax = aω

    a = amplitude of maximum displacement

    ω = angular frequency

    2.6 x 10³ = a (184706)

    a=0.0141 m
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