document.write( "Question 1192745: A mass is suspended by a spring such that it hangs at rest 0.5 m above the ground. The mass is raised 40 cm and released at time t = 0 s,causing it to oscillate sinusoidally. If the mass returns to the high position every 1.2 s, determine the height of the mass above the ground at t = 0.7 s. Draw a sketch. \n" ); document.write( "

Algebra.Com's Answer #824650 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A mass is suspended by a spring such that it hangs at rest 0.5 m above the ground.
\n" ); document.write( "The mass is raised 40 cm and released at time t = 0 s,causing it to oscillate sinusoidally.
\n" ); document.write( "If the mass returns to the high position every 1.2 s, determine the height of the mass
\n" ); document.write( "above the ground at t = 0.7 s. Draw a sketch.
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document.write( "It is about deriving the formula of harmonic oscillations.\r\n" );
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document.write( "    The mid-line of the sinusoid is y= 0.5 m.\r\n" );
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document.write( "    The amplitude is 0.4 m.\r\n" );
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document.write( "    The period is 1.2 seconds.\r\n" );
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document.write( "    The time shift is such that using cosine function is preferable.\r\n" );
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document.write( "So, I write\r\n" );
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document.write( "    y =  + .\r\n" );
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document.write( "Now, to calculate y at t = 0.7 seconds, substitute 0.7 instead ot t into the formula.\r\n" );
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document.write( "Keep in mind that values of \"y\" represent height of the mass above the ground.\r\n" );
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document.write( "Happy calculations (!)\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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