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 7.36 cm. When 4 more oscillations are completed, what is the displacement reached (in cm)

The displacement after 4 more complete oscillations is 10.56cm

Explanation:

Initial displacement, Xo=10cm

After one complete oscillation displacement X1=7.36cm

Change in displacement = Xo-X1 = (10-7.36) can = 2.64cm

1 oscillation = 2.64cm

4 oscillations = 4*2.64=10.56cm