MATH 4B Lecture 10: Lecture 10

• School: UCSB
• Department: Mathematics
• Course: MATH 4B
• Professor: Wei

Document Summary

Ode: absence of any disturbances, it will hang in its equilibrium position. The mass is set in motion by imparting an initial displacement, an initial velocity, and. Hooke"s law: the force exerted by a spring is proportional to the change from its natural length. , = spring constant, = change in length from free spring to. Spring mass system: suspend a mass from a spring which obeys hooke"s law with constant . Balance the forces acting on the mass using newton"s law: Example: a mass of stretches a spring . The mass is acted upon by an external force of and moves in a medium that imparts a viscous force of when the speed of the mass is . If the mass is set in motion from its equilibrium position with an initial velocity of. , formulate the initial value problem describing the motion of the mass or. Each term in the equation has units of force.