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A block of mass m is attached to a frame...

A block of mass m is attached to a frame by a light spring of force constant k. The frame and block are initially at rest with `x = x_(0)`, the natural length of the spring. If the frame is given a constant horizontal accelration `a_(0)` towards left, determine the maximum velocity of the block relative to the frame (block is free to move inside frame). Ignore any friction.

A

`a_(0)sqrt((m)/(2k))`

B

`a_(0)sqrt((2m)/(k))`

C

`a_(0)sqrt((m)/(k))`

D

`(1)/(2)a_(0)sqrt((m)/(k))`

Text Solution

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The correct Answer is:
C
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