document.write( "Question 1204497: 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. \n" ); document.write( "

Algebra.Com's Answer #840779 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
\n" ); document.write( "of the mass above the ground at t= 0.7 s.
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document.write( "In this problem, the height h = 0.5 m above the ground is the equilibrium position.\r\n" );
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document.write( "Under given conditions, the mass will oscillate harmonically around this position \r\n" );
document.write( "with the amplitude of 0.4 m.\r\n" );
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document.write( "At given condition, the mass position is described by this equation\r\n" );
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document.write( "    h(t) = ,   t >= 0,\r\n" );
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document.write( "where h(t) is the height of the mass over the ground, in meters, t is the time, in seconds.\r\n" );
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document.write( "At t = 0.7 s, the height over the ground is  h(0.7) =  = 0.15322 of a meter.\r\n" );
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