be the coordinate as a function of time for particle 1 and =22+62xAtTcosππFHGIKJbe the coordinate as a function of time for particle 2. Here Tis the period. Note that since the range of the motion is A, the amplitudes are both A/2. The arguments of the cosine functions are in radians. Particle 1 is at one end of its path (x1= A/2) when t= 0. Particle 2 is at A/2 when 2πt/T+ π/6 = 0 or t= –T/12. That is, particle 1 lags particle 2 by one-twelfth a period. We want the coordinates of the particles 0.50 s later; that is, at t= 0.50 s, 120.50s=cos=0.2521.5 sAxAπ×§·
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