Hooke's Law Understanding the Relationship Between Force and Elasticity
Introduction Hooke's Law states that the force required to extend or compress a spring is directly proportional to the displacement of the spring.
Hooke's Law Formula F = -k x Where: F = Force applied (N) k = Spring constant (N/m) x = Displacement (m)
Explanation • When a force is applied to a spring, it stretches or compresses. • The force exerted by the spring is proportional to the displacement but acts in the opposite direction. • The proportionality constant (k) depends on the stiffness of the material.
Graph Representation The force-displacement graph is a straight line passing through the origin, with the slope representing the spring constant (k).
Applications of Hooke's Law • Used in designing springs in vehicles and machinery. • Helps in measuring forces using spring balances. • Plays a role in structural engineering and elasticity studies. • Used in shock absorbers and mattresses.
Real-Life Examples • Stretching a rubber band • Bouncing of a trampoline • Suspension systems in cars • Elastic behavior of materials like sponge and springs
Conclusion Hooke’s Law is fundamental in physics and engineering, explaining the behavior of elastic materials under force. Understanding this law helps in designing various mechanical and structural systems.