Solve the Problem $\mathrm { L }$ , When Displaced Horizontally and Released, Oscillates with Harmonic Motion

question 112

Multiple Choice

Solve the problem.
-A pendulum of length $\mathrm { L }$ , when displaced horizontally and released, oscillates with harmonic motion according to the equation $y = A \sin ( ( \sqrt { g / L } ) t + \pi / 2 )$ , where $y$ is the distance in meters from the rest position $t$ seconds after release, and $g = 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 }$ . Identify the period, amplitude, and phase shift when $\mathrm { A } = 0.10 \mathrm {~m}$ and $\mathrm { L } = 0.98 \mathrm {~m}$ .

• A) \(0.99 \mathrm {~s} , 0.10 \mathrm {~m} , - 0.99 \mathrm {~s}\)
• B) \(1.99 \mathrm {~s} , 0.10 \mathrm {~m} , - 0.50 \mathrm {~s}\)
• C) \(0.63 \mathrm {~s} , 0.10 \mathrm {~m} , - 0.157 \mathrm {~s}\)
• D) \(1.99 \mathrm {~s} , 0.10 \mathrm {~m} , 0.50 \mathrm {~s}\)