7.2 Period in SHM

Period

In simple harmonic motion, period is the time it takes for the system to complete 1 cycle or oscillation. Period is a scalar, represented with the variable

{T}

, and measured in seconds (s). In a spring oscillation, the period of oscillation can be defined with the equation below.

T_s=2\pi \sqrt{\frac{m}{k}}

${T_s}$ represents period of oscillation in a spring oscillation
${m}$ is the mass of the object attached to the end of the spring
${k}$ is the spring’s spring constant

A similar equation also exists for the period of oscillation in a pendulum oscillation but with the length of the string and gravity instead.

T_p=2 \pi \sqrt{\frac{l}{g}}

${T_p}$ represents period of oscillation in a pendulum oscillation
${l}$ is the length of the string the object is attached to
${g}$ is acceleration due to gravity

MCQ Reading Checkpoint

A ball is attached to the end of a string and is set into simple harmonic motion. Which of the following will double its period of oscillation?

Choose the best option:

Period

In this unit

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