Question

Part 2: (Theory) Simple Harmonie Motion in a Mass-Spring System Sketch a simple horizontal, mass-spring system with the mass displaced slightly from its equilibrium position (x=0). Draw the forces acting on the mass (you should have three; neglect friction). Now imagine that the system is released from rest. According to Newton's Second Law, F=ma, the equation of motion for the mass can be written as: (1) m dr 1. By direct substitution, show explicitly that x(t) - Acos(wt + ) is a solution to Eq. 1, where w -A and k in the spring constant (related to the stiffness of the spring). 2. What is the period of oscillation T and how is it related to w, k and m? 3. Describe in words the meaning of amplitude and phase.

Answer 1

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