A platform of mass 0.8 kg is supported on four springs (only two springs are sho

Question

A platform of mass 0.8 kg is supported on four springs (only two springs are shown in the picture, but there are four altogether). A chunk of modeling clay of mass 0.6 kg is held above the table and dropped so that it hits the table with a speed of v = 0.9 m/s. The clay sticks to the table so that the the table and clay oscillate up and down together. Finally, the table comes to rest 6 cm below its original position. What is the effective spring constant of all four springs taken together? k = n/m With what amplitude does the platform oscillate immediately after the clay hits the platform? A = cm

Explanation / Answer

         Given thatthe mass of the clay is m = 0.6 kg          Mass of theplatform is M = 0.8 kg          velocityof the clay is v = 0.9 m/s         spring from theiniital poistion is x = 6 cm = 0.06m -----------------------------------------------------------------------         Apply conservationof energy before collision and when the spring is in compressedposition                                 (1/2)mv2 + mgx = 4*(1/2)Kx2                                      mv2 + 2mgx = 4*Kx2                                           K = ( mv2 + 2mgx) /4*x2                                                   =----------- N/m      

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