ch15-p017 - 17. The maximum force that can be exerted by...

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17. The maximum force that can be exerted by the surface must be less than μ s F N or else the block will not follow the surface in its motion. Here, μ s is the coefficient of static friction and F N is the normal force exerted by the surface on the block. Since the block does not accelerate vertically, we know that F N = mg , where m is the mass of the block. If the block follows the table and moves in simple harmonic motion, the magnitude of the maximum force exerted on it is given by F = ma m = m ω 2 x m = m (2 π f ) 2 x m , where a m is the magnitude of the maximum acceleration,
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