A block of mass 
is tied to one end of a spring which passes over a smooth fixed pylley 
and under a light smooth movable pulley 
.The other end of the string is attached to the lower end of a spring of spring constant 
.Find the period of small oscillation of mass 
about its equilibrium position (in second). (Take 
and 
)
A block of mass is tied to one end of a spring which passes over a smooth fixed pylley and under a light smooth movable pulley .The other end of the string is attached to the lower end of a spring of spring constant .Find the period of small oscillation of mass about its equilibrium position (in second). (Take and )
Question ID - 153913 | SaraNextGen Top Answer
A block of mass is tied to one end of a spring which passes over a smooth fixed pylley and under a light smooth movable pulley .The other end of the string is attached to the lower end of a spring of spring constant .Find the period of small oscillation of mass about its equilibrium position (in second). (Take and )
|
A block of mass
|
(1)
Net increment in the tension in string connecting the block will provide acceleration to the block. We can write
(i)
When the block 
is displaced by a distance 
beyond equilibrium position, the addition stretch of springs 1 and 2 are 
and 
respectively
We can write
(ii)
As 
(iii)
From Eqs. (ii)and (iii) 
and 
Hence 
After substituting the values, we get 
