Question

A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft. what is the period of simple harmonic motion?

Answers

  1. The period of simple harmonic motion is T = 4.19 seconds:
    For given question,
    A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft.
    So, we have mass (m) = 16 pounds
    spring constant (k) = 36 lb/ft.
    Let T be the period of simple harmonic motion.
    Using the formula for the period of simple harmonic motion,
    ⇒ T = 2π√(m/k)
    ⇒ T = 2 × π × √(16/36)
    ⇒ T = 2 × π × √(0.444)
    ⇒ T = 2 × π × 0.666
    ⇒ T = 1.333 × π
    ⇒ T = 4.19 seconds
    Therefore, the period of simple harmonic motion is T = 4.19 seconds
    Learn more about the simple harmonic motion here:
    #SPJ4

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