All Flashcards
Define Hooke's Law.
The force a spring exerts is directly proportional to its displacement from equilibrium:
What is the spring constant ()?
A measure of a spring's stiffness; the higher the value, the stiffer the spring.
Define 'equilibrium position' in the context of a spring.
The position where the spring is neither stretched nor compressed, and the net force on it is zero.
What is an ideal spring?
A spring with negligible mass that exerts a force perfectly proportional to its displacement from equilibrium.
Define equivalent spring constant.
A single spring constant that represents the combined effect of multiple springs in a system.
What is a restoring force?
A force that acts to bring a system back to its equilibrium position.
What is the difference between displacement and length in spring problems?
Displacement (Δx) is the change in length from the equilibrium position, while length is the total length of the spring.
Compare a spring with a high spring constant to one with a low spring constant.
High k: Stiffer, requires more force for the same displacement. | Low k: Less stiff, requires less force for the same displacement.
Compare stretching a spring vs. compressing a spring.
Stretching: Positive Δx, spring pulls back. | Compressing: Negative Δx, spring pushes back.
Compare the spring force at maximum displacement vs. at equilibrium.
Maximum displacement: Spring force is maximum. | Equilibrium: Spring force is zero.
Compare the energy stored in a stretched spring vs. a compressed spring (same |Δx|).
Stretched: Stores potential energy. | Compressed: Stores potential energy. Both store the same amount of potential energy if |Δx| is the same.
How do you calculate the equivalent spring constant for springs in series?
Use the formula:
How do you calculate the equivalent spring constant for springs in parallel?
Use the formula:
What is the first step in solving a problem involving spring forces?
Draw a free-body diagram showing all forces acting on the object, including the spring force.