Exam 12: Oscillatory Motion

A damped oscillator is released from rest with an initial displacement of 10.00 cm.At the end of the first complete oscillation the displacement reaches 9.05 cm.When 4 more oscillations are completed,what is the displacement reached?

A body oscillates with simple harmonic motion along the x axis.Its displacement varies with time according to the equation x = 5.0 cos ( $\pi$ t).The magnitude of the acceleration (in m/s²)of the body at t = 1.0 s is approximately

John says that the value of the function cos[ $\omega$ (t + T)+ $\varphi$ ],obtained one period T after time t,is greater than cos( $\omega$ t + $\varphi$ )by 2 $\pi$ .Larry says that it is greater by the addition of 1.00 to cos( $\omega$ t + $\varphi$ ).Which one,if either,is correct?

For the wave described by $y = 0.15 \sin \left[ \frac { \pi } { 16 } ( 2 x - 64 t ) \right] \text { (SI units) }$ ,determine the x coordinate of the second maximum when t = 0.