Question icon
Grade 12Mechanics

when certain mass is suspended from a string,it is extended by a distance l.The string is now cut into two halves and the same mass is suspended freely from one end from one of two halves.The new extension of the spring will be,

Profile image of  kavishka
6 Years agoGrade 12
Answers icon

1 Answer

Profile image of Arun
6 Years ago
 

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