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What are the steps to applying Newton's Second Law to SHM?
1. Identify Forces. 2. Draw a Free-Body Diagram. 3. Note Mass & Acceleration. 4. Write F = ma Equation. 5. Solve for Acceleration. 6. Find Velocity & Position. 7. Graph It. 8. Solve Unknowns. 9. Repeat for multiple objects.
What is the effect of increasing the length (L) of a pendulum on its period (T)?
Increasing the length increases the period (T = 2π√(L/g)).
What is the effect of increasing the mass (m) on a spring on its period (T)?
Increasing the mass increases the period (T = 2π√(m/k)).
What is the effect of increasing the spring constant (k) on the period (T) of a mass-spring system?
Increasing the spring constant decreases the period (T = 2π√(m/k)).
What is the effect of increasing the length of a pendulum on its period?
The period increases; $T \propto \sqrt{L}$
What is the effect of increasing the mass on a spring on its period?
The period increases; $T \propto \sqrt{m}$
What is the effect of increasing the spring constant (k) on the period of a mass-spring system?
The period decreases; $T \propto \frac{1}{\sqrt{k}}$
What happens to the velocity of an object in SHM as it passes through the equilibrium point?
Velocity is at its maximum.
What happens to the acceleration of an object in SHM at its maximum displacement?
Acceleration is at its maximum.