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  • Help me understand! A spring has a certain mass supended from it and its period for vertiacal oscillation isT. The spring is now cut into equal halves and the same mass is suspended from one of the halves. The period ofthe vertial oscillation is now

A spring has a certain mass supended from it and its period for vertiacal oscillation is T. The spring is now cut into equal halves and the same mass is suspended from one of the halves. The period of the vertial oscillation is now

  • Option 1)

    \frac{T}{}2

  • Option 2)

    \frac{T}{\sqrt{2}}

  • Option 3)

    \sqrt{2} T

  • Option 4)

    2T

 

Answers (1)

best_answer

T = 2\pi\sqrt{\frac{m}{k}}. Also Spring\; constant\; (k)\; \alpha\; \frac{1}{Length\;(l)}

When the spring is hal in length, then k becomes twice.

\therefore T' = 2\pi \sqrt{\frac{m}{2k}} \Rightarrow \frac{T'}{T} = \frac{1}{\sqrt{2}} \Rightarrow T' = \frac{T}{\sqrt{2}}

 

Time period of oscillation for spring mass system -

T= 2\pi \sqrt{\frac{m}{K}}

- wherein

m = mass of block

K = spring constant

 

 

 


Option 1)

\frac{T}{}2

This is incorrect.

Option 2)

\frac{T}{\sqrt{2}}

This is correct.

Option 3)

\sqrt{2} T

This is incorrect.

Option 4)

2T

This is incorrect.

Posted by

Plabita

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