book:chap2:2.6_physics_application_balancing_forces
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book:chap2:2.6_physics_application_balancing_forces [2021/10/31 18:23] – jv | book:chap2:2.6_physics_application_balancing_forces [2022/04/01 21:00] (current) – jv | ||
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+ | [[forcestorques|2. Balancing Forces and Torques]] | ||
+ | * [[ 2.1 Motivation and Outline| 2.1 Motivation and outline: forces are vectors ]] | ||
+ | * [[ 2.2 Sets| 2.2 Sets ]] | ||
+ | * [[ 2.3 Groups| 2.3 Groups ]] | ||
+ | * [[ 2.4 Fields| 2.4 Fields ]] | ||
+ | * [[ 2.5 Vector spaces| 2.5 Vector spaces ]] | ||
+ | * ** 2.6. Physics application: | ||
+ | * [[ 2.7 The inner product | 2.7 The inner product]] | ||
+ | * [[ 2.8 Cartesian coordinates | 2.8 Cartesian coordinates]] | ||
+ | * [[ 2.9 Cross products --- torques| 2.9 Cross products — torques ]] | ||
+ | * [[ 2.10 Worked example Calder' | ||
+ | * [[ 2.11 Problems| 2.11 Problems ]] | ||
+ | * [[ 2.12 Further reading| 2.12 Further reading ]] | ||
+ | |||
+ | ---- | ||
+ | |||
===== 2.6 Physics application: | ===== 2.6 Physics application: | ||
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<WRAP # | <WRAP # | ||
- | There are three forces acting on the center of mass of a body. In which cases does it stay at rest?\\ | + | There are three forces acting on the center of mass of a body. In which cases does it stay at rest? |
{{ : | {{ : | ||
+ | </ | ||
- | </ | + | ---- |
<WRAP # | <WRAP # | ||
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{{ : | {{ : | ||
{{ : | {{ : | ||
- | </ | + | </ |
+ | |||
+ | ---- | ||
<WRAP # | <WRAP # | ||
Three Scottish muscleman ((In highland games one still uses Imperial Units. A hundredweight (cwt) amounts to eight stones (stone) that each have a mass of $14$ pounds(lb). A pound-force (lbg) amounts to the gravitational force acting on a pound. One can solve this problem without converting units.)) try to tow a stone with mass $M=20\text{cwt}$ from a field. Each of them gets his own rope, and he can act a maximal force of | Three Scottish muscleman ((In highland games one still uses Imperial Units. A hundredweight (cwt) amounts to eight stones (stone) that each have a mass of $14$ pounds(lb). A pound-force (lbg) amounts to the gravitational force acting on a pound. One can solve this problem without converting units.)) try to tow a stone with mass $M=20\text{cwt}$ from a field. Each of them gets his own rope, and he can act a maximal force of | ||
- | $300\text{lbg}$ as long as the ropes run in directions that differ by at least $30^\circ$\\ | + | $300\text{lbg}$ as long as the ropes run in directions that differ by at least $30^\circ$ |
- Sketch the forces acting on the stone and their sum. By which ratio is the force exerted by three men larger than that of a single man? | - Sketch the forces acting on the stone and their sum. By which ratio is the force exerted by three men larger than that of a single man? | ||
- The stone counteracts the pulling of the men by a static friction force $\mu M g$, where $g$ is the gravitational acceleration. What is the maximum value that the friction coefficient $\mu$ may take when the men can move the stone? | - The stone counteracts the pulling of the men by a static friction force $\mu M g$, where $g$ is the gravitational acceleration. What is the maximum value that the friction coefficient $\mu$ may take when the men can move the stone? | ||
- | </ | + | </ |
~~DISCUSSION|Questions, | ~~DISCUSSION|Questions, |
book/chap2/2.6_physics_application_balancing_forces.1635701036.txt.gz · Last modified: 2021/10/31 18:23 by jv