Dual Springs

Classical Mechanics Level 2

A block of mass \(M=3\text{ kg}\) is initially in equilibrium and hanging by 2 identical springs as shown in figure above. If one of the springs is cut from the lower point at \(t=0\), then find acceleration of block in \(\text{m/s}^2\) at \(t=0\).

Details and Assumptions:

  • Do not consider rotational effects of the block.

  • Take \(g=-10\text{ m/s}^2\).

  • Take upward as positive direction


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