PHY354H1 Lecture Notes - Attractor, Quadratic Equation, Net Force
Document Summary
Lecture 9: damping + restoring forces: relevant reading: morin 4. 3, dynamics when you have restoring forces and damping. Fdrag = b x, where b is a constant and the minus sign indicates the force is in the direction opposite to the motion: the total net force will be the restoring force plus the drag force. For example, if the restoring force is due to a spring (so hooke"s law), then the net force is. Fnet = kx bv and newton"s law tells us that m x = kx b x or b m k m. X + (1: this is the ode we need to solve for damped oscillation problems. 0 = k/m. some of the algebra simpler later on. 0x = 0: the 2 in the above equation will make sense later. Notice that 0 is the frequency of oscillations for a mass on a spring when there is no damping.
