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

Explanation:

Given that,

An ideal horizontal spring-mass system oscillates with a period of 0.60 seconds.

Mass is 3 kg but the spring constant is not known. We need to find the frequency of oscillations when this same spring and mass are arranged to hang vertically. We know that the relation between frequency and time period is inverse. Frequency is given by :

$f=\dfrac{1}{T}\\\\f=\dfrac{1}{0.6\ s}\\\\f=1.67\ Hz$

Hence, the correct option is (d) "none of the above".