An object in simple harmonic motion obeys the followingposition versus time equa

Question

An object in simple harmonic motion obeys the followingposition versus time equation: y=(0.5m) sin (/2*t). What isthe period of vibration? a) 1.0s b) 2.0s c) 3.0s d) 4.0s Determine the best answer and explain your choice by invokingthe appropriate concept, principle, and/or mathematicalrelation. An object in simple harmonic motion obeys the followingposition versus time equation: y=(0.5m) sin (/2*t). What isthe period of vibration? a) 1.0s b) 2.0s c) 3.0s d) 4.0s Determine the best answer and explain your choice by invokingthe appropriate concept, principle, and/or mathematicalrelation.

Explanation / Answer

the period of vibration is going to be the time it takes for onecomplete sine oscillation. at t=0, y=0. so we need to find what value of t makes y=0again one complete oscillation is 0 to 2, and y=0 at these twovalues. so we need to find (/2)*t=2 this corresponds to t=4

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