a 2 meter tall astronaut standing on mars drops her glasses from her nose. how long will the astronaut have before he hits the g
1 answer:
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Answer:
a) the values of the angle α is 45.5°
b) the required magnitude of the vertical force, F is 41 lb
Explanation:
Applying the free equilibrium equation along x-direction
from the diagram
we say
∑Fₓ = 0
Pcosα - 425cos30° = 0
525cosα - 368.06 = 0
cosα = 368.06/525
cosα = 0.701
α = cos⁻¹ (0.701)
α = 45.5°
Also Applying the force equation of motion along y-direction
∑Fₓ = ma
Psinα + F + 425sin30° - 600 = (600/32.2)(1.5)
525sin45.5° + F + 212.5 - 600 = 27.95
374.46 + F + 212.5 - 600 = 27.95
F - 13.04 = 27.95
F = 27.95 + 13.04
F = 40.99 ≈ 41 lb
Answer:
Explanation:
The word 'nun' for thickness, I will interpret in international units, that is, mm.
We will begin by defining the intensity factor for the steel through the relationship between the safety factor and the fracture resistance of the panel.
The equation is,
We know that is 33Mpa*m^{0.5} and our Safety factor is 2,
Now we will need to find the average width of both the crack and the panel, these values are found by multiplying the measured values given by 1/2
<em>For the crack;</em>
<em>For the panel</em>
To find now the goemetry factor we need to use this equation
That allow us to determine the allowable nominal stress,
\sigma_{allow} = 208.15Mpa
So to get the force we need only to apply the equation of Force, where
That is the maximum tensile load before a catastrophic failure.