Question

need help b)

+ M A platform of mass 0.8 kg is supported on four springs (only two springs are shown in the picture, but there are four). 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. a) What is the effective spring constant of all four springs taken together? N/m Help Reset Enter k= 98 98 OK b) With what amplitude does the platform oscillate immediately after the clay hits the platform? cm Help | Reset Enter A = 12 12 NO

Answer 1

Given that 0.8kg platform of mass a chunk = 0.6 kg of mass Speed V= 0.9 m/s We know that Famo = kx. Me g for Lokal mass 4ka where Me = tokal mass = 1.4kg 0.6 +0.8 X = 6 cm = 0.06m 1.4x9.81 = 4.x K x 0.06 a] K = 57.225 N/m b] KE, + PE KE+PE PE, = 0 [ No initial drop in height] I= - 0 Me 22 & ka? a clay modelling El Oookg of Mc mass á x0.6x0,92= á *57.225x2 x = 0.09am = 9.2 cm Amplikude = 9.2 cm - 6.0 Cm A = 3.2cm