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A block of mass is connected to an ideal...


A block of mass is connected to an ideal spring of stiffness `K_(1)` on left hand side and to an elastic strig of stiffness `K_(2)` on right hand side as shown in figure the time period of motion if mass m is displaced by 'x' as shown in figure.

A

`2pisqrt(m//K_(1))`

B

`2pisqrt(m//(K_(1)+K_(2)))`

C

`2pisqrt(m(K_(1)+K_(2))//K_(1)K_(2))`

D

`pi(sqrt((m)/(K_(1)+K_(2)))+sqrt((m)/(K_(1))))`

Text Solution

Verified by Experts

The correct Answer is:
D
`T=(T_("left"))/(2)+(T_("right"))/(2)=pisqrt((m)/(K_(1)+K_(2)))+pisqrt((m)/(K_(1)))`
Note string becomes slack when mass pushes te string.
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