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A wire with mass 45.0 g is stretched so that its ends are tied down at...

A wire with mass 45.0 g is stretched so that its ends are tied down at points a distance 79.0 cm apart. The wire vibrates in its fundamental mode with frequency 60.0 Hz and with an amplitude at the antinodes of 0.250 cm . A. Find the magnitude of the maximum transverse velocity of particles in the wire. B. Find the magnitude of the maximum acceleration of particles in the wire.

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Answer #1

A. The wave can be represented using general fom, y Asin (-t) Given A-0.250x102 m -1 -377 rads 21T 2L 2π 2 × 0.79 m -3.98 rad

B. Acceleration of the particle is given by, -(-377) x0.25x10-2 sin (3.98x-377t) ,--377%0.25 x10-2 4 27 -355.32 ms2 Hence, ma

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