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1/2 * Fmax * 2 * 10^-3 + Fmax * 2.0 * 10^-3 + 1/2 * Fmax * 2 * 10^-3  = 8.0 * (0.3 + 0.3)

Question

1/2 * Fmax * 2 * 10^-3 + Fmax * 2.0 * 10^-3 + 1/2 * Fmax * 2 * 10^-3 = 8.0 * (0.3 + 0.3)

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Solution

Sure, let's break down the equation step by step.

First, let's simplify the left side of the equation:

1/2 * Fmax * 2 * 10^-3 + Fmax * 2.0 * 10^-3 + 1/2 * Fmax * 2 * 10^-3

This can be simplified to:

Fmax * 10^-3 + Fmax * 2.0 * 10^-3 + Fmax * 10^-3

Which further simplifies to:

2Fmax * 10^-3 + 2Fmax * 10^-3

This simplifies to:

4Fmax * 10^-3

Now, let's simplify the right side of the equation:

8.0 * (0.3 + 0.3)

This simplifies to:

8.0 * 0.6

Which further simplifies to:

4.8

So, the equation simplifies to:

4Fmax * 10^-3 = 4.8

To solve for Fmax, we divide both sides by 4 * 10^-3:

Fmax = 4.8 / (4 * 10^-3)

This simplifies to:

Fmax = 1200 N

So, the maximum force (Fmax) is 1200 Newtons.

This problem has been solved

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