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A gold ball on a steel table - effect of its own weight.
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Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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From users who are members of ENG2033 :
Sigong Zhang | said | Ready to use | 2 months, 3 weeks ago |
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said | Needs to be tested | 3 months, 2 weeks ago |
History
Sigong Zhang 2 months, 3 weeks ago
Gave some feedback: Ready to use
Francis Franklin 3 months, 2 weeks ago
Gave some feedback: Needs to be tested
Francis Franklin 4 years, 6 months ago
Gave some feedback: Ready to use
Francis Franklin 4 years, 6 months ago
Published this.Francis Franklin 7 years, 3 months ago
Created this.Name | Status | Author | Last Modified | |
---|---|---|---|---|
ENG2033: Contact Mechanics: Ball on table | Ready to use | Francis Franklin | 14/11/2024 19:02 | |
ENG2033: Contact Mechanics: Ball joint | Ready to use | Francis Franklin | 14/11/2024 19:02 | |
ENG2033: Contact Mechanics: Twin-disc test | Ready to use | Francis Franklin | 14/11/2024 19:02 |
There is one other version that you do not have access to.
Name | Type | Generated Value |
---|
diameter | integer |
7
|
||||
R | rational |
7/200
|
||||
volume | number |
0.0001795944
|
||||
weight | number |
34.0383791716
|
||||
ECM | number |
66.7245908264
|
||||
p0 | number |
288.2053806677
|
||||
scw | number |
0.237467449
|
||||
area | number |
0.1771568894
|
Generated value: integer
7
→ Used by:
- R
- Advice
- "Unnamed part" - prompt
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
Reference values:
- Gold: Density, ρ=19 320 kg/m3; Young's modulus, E=79 GPa; Poisson's ratio, ν=0.4.
- Steel: Density, ρ=8 050 kg/m3; Young's modulus, E=209 GPa; Poisson's ratio, ν=0.3.
- Gravity: g=9.81 m/s2.
A gold sphere of diameter {diameter} cm sits on a flat steel table.
Calculate:
- the weight of the ball:
Gap 0. [Units: N] - the Elastic Contact Modulus: E∗=
Gap 1. [Units: GPa] - the peak contact pressure: p0=
Gap 2. [Units: MPa] - the semi-contact width: a=
Gap 3. [Units: mm] - the area of the contact patch:
Gap 4. [Units: mm2]
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This question is used in the following exams:
- Contact Mechanics by Francis Franklin in Mechanics.
- Core Skills by Francis Franklin in Mechanics.
- Mechanical Engineering Practice Questions by Francis Franklin in Mechanics.
- MEC2009 Semester 1 - Special Resit by Francis Franklin in Mechanics.
- Core Skills Practice Questions by Francis Franklin in Mechanics.
- Take-Home Core Skills 2023-24 by Francis Franklin in Mechanics.
- Core Skills 2024-25 by Francis Franklin in Mechanics.
- Chris's copy of ENG2033: 2024-2025 by Chris Graham in Chris's workspace.
- ENG2033: 2024-2025 by Sigong Zhang in ENG2033.