Find the period of a spring-mass system that has a 5.g kg mass and a 60 n/m spring constant

5 answers
Question:

Find the period of a spring-mass system that has a 5.g kg mass and a 60 n/m spring constant

Answers

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 :

[tex]f=\dfrac{1}{T}\\\\f=\dfrac{1}{0.6\ s}\\\\f=1.67\ Hz[/tex]

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

The period of oscillation of the spring T = 0.702 sec

Explanation:

Mass = 0.5 kg

Spring constant k = 40 [tex]\frac{N}{m}[/tex]

Compression of spring = 0.35 m

Period of oscillation

[tex]T = 2 \pi \sqrt{\frac{m}{k} }[/tex]

Put all the values in above equation

[tex]T = 2 \pi \sqrt{\frac{0.5}{40} }[/tex]

T = 0.702 sec

This is the period of oscillation of the spring.

T = 2π/ω = 2π / √(k/m) = 2π / √(60/5) = 1.813... about 1.8 s

Explanation:

a, c, d, e are all applying about success strategies.

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hope this

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