F=ma 2024 Problem 17

Physics · mechanics

Problem

Question: As shown in the figure, consider the system of massless and frictionless pulleys, ropes, and springs. Initially, a block of mass

m

is attached to the end of a rope, and the system is in equilibrium. Next the block is doubled in mass, and the system is allowed to come to equilibrium again. During the transition between these equilibria, how far does the end of the rope (where the block is suspended) move? (A)

\frac{7}{12}\frac{mg}{k}

. (B)

\frac{11}{12}\frac{mg}{k}

. (C)

\frac{13}{12}\frac{mg}{k}

. (D)

\frac{7}{6}\frac{mg}{k}

. (E)

\frac{11}{6}\frac{mg}{k}

. *Note: This problem references figure(s): `image_question/F=MA_2024_17_1.png`*

Browse the problem library