A woman exerts a horizontal force of 4 pounds on a box as she pushes it up a ramp that is 10 feet long and inclined at an angle
1 answer:
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Answer:
dr/dt = -2 cm/s.
Explanation:
The volume of a cone is given by:
(1)
- r is the radius
- h is the height
Let's take the derivative with respect to time in each side of (1).
(2)
We know that:
- dh/dt = 10 cm / s (rate increasing of height)
- dV/dt = 0 (constant volume means no variation with respect of time)
- r = 4 cm
- h = 10 cm
We can calculate how fast is the radius changing using the above information.
Therefore dr/dt will be:
The minus signs means that r is decreasing.
I hope it helps you!
Answer:
2.17 Mpa
Explanation:
The location of neutral axis from the top will be
Moment of inertia from neutral axis will be given by
Therefore, moment of inertia will be
Bending stress at top=
Bending stress at bottom= Mpa
Comparing the two stresses, the maximum stress occurs at the bottom and is 2.17 Mpa