Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from largest to smallest. m = 2 k g , k = 2 N / m m = 2 k g , k = 4 N / m m = 4 k g , k = 2 N / m m = 1 k g , k = 4 N / m

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Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from largest to smallest.  m  =  2  k  g  ,  k  =  2  N      /    m    m  =  2  k  g  ,  k  =  4  N      /    m    m  =  4  k  g  ,  k  =  2  N      /    m    m  =  1  k  g  ,  k  =  4  N      /    m

ZoogTraigngerl4e · Accepted Answer

The periods of oscillation for the mass–spring systems from largest to smallest is:  1.  m  =  4  k  g  ,  k  =  2  N      /    m  (  T  =  8.89  s  )    2.  m  =  2  k  g  ,  k  =  2  N      /    m  (  T  =  6.28  s  )    3.  m  =  2  k  g  ,  k  =  4  N      /    m  (  T  =  4.44  s  )    4.  m  =  1  k  g  ,  k  =  4  N      /    m  (  T  =  3.14  s  )Explanation:The time it takes for an object in simple harmonic motion to complete one vibration is defined as the following equation:  T  =  2  π            m      k      Where:T = period of oscillationm = inertia mass of the oscillating bodyk = spring constant  m  =  2  k  g  ,  k  =  2  N      /    m  T  =  2  π            2      2          T  =  2  π    T  =  6.28  s  m  =  2  k  g  ,  k  =  4  N      /    m  T  =  2  π            2      4          T  =  2  π            1      2          T  =  4.44  s  m  =  4  k  g  ,  k  =  2  N      /    m  T  =  2  π            4      2          T  =  2  π      2      T  =  8.89  s  m  =  1  k  g  ,  k  =  4  N      /    m  T  =  2  π            1      4          T  =  π    T  =  3.14  sTherefore the rank the periods of oscillation for the mass–spring systems from largest to smallest is:  1.  m  =  4  k  g  ,  k  =  2  N      /    m  (  T  =  8.89  s  )    2.  m  =  2  k  g  ,  k  =  2  N      /    m  (  T  =  6.28  s  )    3.  m  =  2  k  g  ,  k  =  4  N      /    m  (  T  =  4.44  s  )    4.  m  =  1  k  g  ,  k  =  4  N      /    m  (  T  =  3.14  s  )

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from largest to smallest. m = 2 kg , k = 2 N/m m = 2 kg , k = 4 N/m m = 4 kg , k = 2 N/m m = 1 kg , k = 4 N/m

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