Austin G.

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Pre-Calculus

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Question:

What is the derivative of the following equations? f(x)=9x^2+5 g(x)=15x^3+5x+4 t(x)=37

Austin G.

Answer:

f'(x)=18x g'(x)=45x^2+5 t'(x)=0

Mechanical Engineering

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Question:

Consider a cantilever beam that's subjected to a moment at its free end. What kind of stress does this create on the beam?

Austin G.

Answer:

This loading creates a normal bending stress on the beam. To calculate stress, sigma=M*c/I

Physics

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Question:

A box , which can be treated as a point particle, is resting on an inclined plane of 30 degrees. What is the minimum coefficient of friction needed to keep the box at rest?

Austin G.

Answer:

Draw a free body diagram of the box Sum the forces in the horizontal and vertical directions We have two unknowns and two equations so we solve for the unknown value mu mu=coefficient of friction=0.577

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