1. A vibrating point on a spring travels 60 mm during three cycles. What is the amplitude of the vibration?

a) 0.05 mm
b) 5.0 mm
c) 15.mm
d) 20.mm
e) 180 mm
my answer: I got 10 mm but it is not listed as an option

three cycles, or 20mm pre cycle. Amplitude is 10mm, or 1 cm.

I am wondering what they mean by three cycles? I agreed with you . However, sometimes common folks think cycle is just one passing, not two, so if that were the case, it would have traveled 1.5 waves, or 60/1.5=40mm back and forth, or 20 mm amplitude.

To find the amplitude of the vibration, you need to understand that the amplitude is the maximum displacement from the equilibrium position (the midpoint). In this case, the displacement is given in terms of the distance traveled during three cycles.

To find the amplitude, you can divide the total distance traveled by the number of cycles. In this case, the total distance traveled is 60 mm, and since you are given that it occurs over three cycles, you divide 60 mm by 3 to get the distance traveled in one cycle.

60 mm / 3 = 20 mm

Therefore, the amplitude of the vibration is 20 mm. Since it is not one of the options given, it is likely there is an error in the provided options.