Multiple choice

The differential equation governing the vibrating system is

  1. m$\ddot X $ + c$\ddot X $ + k (x − y) = 0
  2. m ($\ddot X $ - $\ddot y $) + c ($\ddot X $ - $\dot y $) + kx = 0
  3. m $\ddot X $ + c ($\dot X $ - $\dot y $) + kx = 0
  4. m ($\ddot X $ - $\ddot y $) + c ($\dot X $ - $\dot y $) + k (x - y) = 0
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Assume any arbitrary relationship between the coordinates and their first derivatives, say $x>y$ and $\dot{x}>\dot{y}$, Alos assume $x>0$ and $\dot{x}>0$

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