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A block is on a horizontal surface (a sh...

A block is on a horizontal surface (a shake table) that is moving back and forth horizontally with simple harmonic motion of frequency 2.0 Hz. The coefficient of static friction between block and surface is 0.45. How great can the amplitude of the SHM be if the block is not to slip along the surface?

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0.028m, A larger amplitude requires a larger force at the end points of the motion. The surface cannot supply the larger force and the block slips.
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