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Two block-spring mass system are moving ...

Two block-spring mass system are moving on smooth horizontal surface as shown in the figure as t=0. find out the minimum time t when the spring is maximum elongated `l_(0)` is the natural length of spring.

Text Solution

Verified by Experts

`T=2pisqrt((4)/(9pi^(2)))=(2xx2)/(3)=(4)/(3)`
`t=(3T)/(4)=(3)/(4)xx((4)/(3))=1`
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Knowledge Check

  • A block of mass m moving with velocity v_(0) on a smooth horizontal surface hits the spring of constant k as shown. Two maximum compression in spring is

    A
    `sqrt((2m)/(k))v_(0)`
    B
    `sqrt((m)/(k)).v_(0)`
    C
    `sqrt((m)/(k)).v_(0)`
    D
    `(m)/(2k).v_(0)`

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