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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)).

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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 are the key differences between the period of a pendulum and the period of a mass on a spring?

Pendulum: T=2πLgT = 2\pi \sqrt{\frac{L}{g}}, depends on length (L) and gravity (g). Mass-Spring: T=2πmkT = 2\pi \sqrt{\frac{m}{k}}, depends on mass (m) and spring constant (k).

Compare and contrast the restoring force at the equilibrium point versus at the maximum displacement in SHM.

Equilibrium: Restoring force is zero. | Maximum Displacement: Restoring force is at its maximum.

What is the difference between period and frequency?

Period: Time for one cycle | Frequency: Cycles per second; they are inversely related.

Compare the restoring force at maximum displacement and equilibrium in SHM.

Max Displacement: Restoring force is maximum | Equilibrium: Restoring force is zero.