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11111nata11111 [884]
2 years ago
10

I need to know The value of f(1/2)

Mathematics
1 answer:
Lostsunrise [7]2 years ago
7 0

\huge\boxed{\textsf{a.)}\ 10}

Substitute \frac{1}{2} for x.

f\left(\frac{1}{2}\right)=5\cdot4^\frac{1}{2}

Use a^\frac{m}{n}=\sqrt[n]{a^m}.

\begin{aligned}f\left(\frac{1}{2}\right)&=5\cdot\sqrt[2]{4^1}\\&=5\cdot\sqrt[2]{4}\\&=5\cdot2\\&=\boxed{10}\end{aligned}

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The rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is w = 70 mm and the bar thickn
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- Bar thickness and each side of bracket t = 20 mm

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- Average allowable shear stress of pin S = 115 MPa

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The maximum force P that the structure can support.

Solution:

- Bearing Stress in bar:

                                       T = P / A

                                       P = T*A

                                       P = (120) * (0.07*0.02)

                                       P = 168 KN

- Shear stress in pin:

                                        S = P / A

                                        P = S*A

                                        P = (115)*pi*(0.01)^2 / 4

                                        P = 9.032 KN

- Bearing Stress in each bracket:

                                       T = P / 2*A

                                       P = T*A*2

                                       P = 2*(120) * (0.07*0.02)

                                       P = 336 KN

- The maximum force P that this structure can support:

                                      P_max = min (168 , 9.032 , 336)

                                      P_max = 9.032 KN

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