Topic 2.8: Multi-Spring Systems

Name: _______________________________ Date: _______________ Period: _______

Key Ideas

• Multiple springs on one object: sum each spring's own force ($F_{si}=k_i\Delta x_i$) just like any other force-summing FBD — nothing new mechanically.
• Identical springs sharing a load equally each stretch LESS than a single spring supporting the same total load alone: each only supports its fraction of the total weight.
• A spring's stretch can change because a NEW force entered or left the system (like buoyancy) — this does NOT mean the spring constant $k$ changed. $k$ is a fixed property of the physical spring.
• For spring-restoring-force motion, the acceleration always points toward equilibrium, based only on the object's current POSITION — never on which way it happens to be moving at that instant.

Keep This Sheet!

These sheets build into your semester study guide. Keep them in order in a binder or folder — you'll want to flip back through them before quizzes, unit tests, and when AP exam review starts in the spring.