Question

An ideal horizontal spring-mass system oscillates with a period of 0.60 seconds. The mass is 3 kg but the spring constant is not known. When this same spring and mass are arranged to hang vertically, the frequency of oscillations will be:

a) 0.40 Hz

b) 1.2 Hz

c) 2.5 Hz

d) none of the above are correct

e) the spring constant is needed to determine the frequency

Answer 1

d) none of the above are correct

given
Time period, T = 0.60 s
mass of the block, m = 3 kg

frequency, f = 1/T

= 1/0.6

= 1.7 Hz

Note : when a block oscillate which is connected to spring has same frequency whether it is oscillating in horizontal direction or vertical direction.