Consider the four block-and-spring(s) systems shown at right. Each block moves o
ID: 1910686 • Letter: C
Question
Consider the four block-and-spring(s) systems shown at right. Each block moves on a horizontal, frictionless table. The blocks all have the same mass m, and all of the springs are identical and ideal, with spring constant k. At the instant shown, each block is released from rest a distance A to the right of its equilibrium position (indicated by the dashed line). In case B, assume that each spring is at its equilibrium length when the block is at its equilibrium position. Rank the cases according to magnitude of the net force on the block at the instant shown, from largest to smallest. (Hint: In case C, how far was the point connecting the two springs displaced when the block was displaced a distance A?) Explain.Explanation / Answer
F = -kx order : case B = case D.....followed by case a......least force in case C in case B and D, the springs are in parallel...so effective spring constant = 2K in case C however they are in series, so effective spring constant = K/2 which follows....CASE B = CASE D > CASE A > CASE C