C5. Rigid body kinematics: planar motion - Revision history

Bros: /* ✏️ EXAMPLE C5-2.4 */

2024-11-04T18:36:38Z

✏️ EXAMPLE C5-2.4

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	[[File:C5-Ex2-4-3-eng.png\|thumb\|center\|400px\|link=]]		[[File:C5-Ex2-4-3-eng.png\|thumb\|center\|400px\|link=]]

	~~::FALTA PARAGRAF QUE SI EST[A A LA VERSIO EN CATALA~~
	{\|		{\|
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Bros: /* ✏️ EXAMPLE C5-2.3 */

2024-11-04T18:36:12Z

✏️ EXAMPLE C5-2.3

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	:Though the directions of the relative and the transportation motions are qualitatively accurate, the direction of its composition (which is that of the absolute motion) is not univocally defined in general because of the lack of a quantitative knowledge of those two velocities. However, if we discover a point in the bar where one of those two velocities is zero or parallel, the precise direction of the absolute velocity can be obtained.		:Though the directions of the relative and the transportation motions are qualitatively accurate, the direction of its composition (which is that of the absolute motion) is not univocally defined in general because of the lack of a quantitative knowledge of those two velocities. However, if we discover a point in the bar where one of those two velocities is zero or parallel, the precise direction of the absolute velocity can be obtained.

	:As the direction of the transportation velocity changes from one point in the bar to another, but that of the relative velocity does not, we may move along the bar until we discover a point where <math>\vec{\textbf{v}}_\text{REL}\|\|\~~vel~~{tr}{}</math>. From that point, <math>\vec{\textbf{v}}_{AB}</math> is parallel to the bar. The intersection of the line perpendicular to the bar through that point and the <math>\Os\Qs</math> direction is the ICR of the bar relative to the ground.		:As the direction of the transportation velocity changes from one point in the bar to another, but that of the relative velocity does not, we may move along the bar until we discover a point where <math>\vec{\textbf{v}}_\text{REL}\|\|\vec{\textbf{v}}_\text{tr}</math>. From that point, <math>\vec{\textbf{v}}_\text{AB}</math> is parallel to the bar. The intersection of the line perpendicular to the bar through that point and the <math>\Os\Qs</math> direction is the ICR of the bar relative to the ground.
	\|}		\|}
	[[File:C5-Ex2-3-4-eng.png\|thumb\|center\|400px\|link=]]		[[File:C5-Ex2-3-4-eng.png\|thumb\|center\|400px\|link=]]

Bros: /* ✏️ EXAMPLE C5-2.3 */

2024-11-04T18:35:35Z

✏️ EXAMPLE C5-2.3

← Older revision		Revision as of 18:35, 4 November 2024
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	:Though the directions of the relative and the transportation motions are qualitatively accurate, the direction of its composition (which is that of the absolute motion) is not univocally defined in general because of the lack of a quantitative knowledge of those two velocities. However, if we discover a point in the bar where one of those two velocities is zero or parallel, the precise direction of the absolute velocity can be obtained.		:Though the directions of the relative and the transportation motions are qualitatively accurate, the direction of its composition (which is that of the absolute motion) is not univocally defined in general because of the lack of a quantitative knowledge of those two velocities. However, if we discover a point in the bar where one of those two velocities is zero or parallel, the precise direction of the absolute velocity can be obtained.

	:As the direction of the transportation velocity changes from one point in the bar to another, but that of the relative velocity does not, we may move along the bar until we discover a point where <math>\vec{\textbf{v}}_\text{REL}\|\|\~~vec~~{~~\textbf{v}~~}_{tr}</math>. From that point, <math>\vec{\textbf{v}}_{AB}</math> is parallel to the bar. The intersection of the line perpendicular to the bar through that point and the <math>\Os\Qs</math> direction is the ICR of the bar relative to the ground.		:As the direction of the transportation velocity changes from one point in the bar to another, but that of the relative velocity does not, we may move along the bar until we discover a point where <math>\vec{\textbf{v}}_\text{REL}\|\|\vel{tr}{}</math>. From that point, <math>\vec{\textbf{v}}_{AB}</math> is parallel to the bar. The intersection of the line perpendicular to the bar through that point and the <math>\Os\Qs</math> direction is the ICR of the bar relative to the ground.
	\|}		\|}
	[[File:C5-Ex2-3-4-eng.png\|thumb\|center\|400px\|link=]]		[[File:C5-Ex2-3-4-eng.png\|thumb\|center\|400px\|link=]]

Bros: /* ✏️ EXAMPLE C5-2.3 */

2024-11-04T18:34:57Z

✏️ EXAMPLE C5-2.3

← Older revision		Revision as of 18:34, 4 November 2024
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	:Though the directions of the relative and the transportation motions are qualitatively accurate, the direction of its composition (which is that of the absolute motion) is not univocally defined in general because of the lack of a quantitative knowledge of those two velocities. However, if we discover a point in the bar where one of those two velocities is zero or parallel, the precise direction of the absolute velocity can be obtained.		:Though the directions of the relative and the transportation motions are qualitatively accurate, the direction of its composition (which is that of the absolute motion) is not univocally defined in general because of the lack of a quantitative knowledge of those two velocities. However, if we discover a point in the bar where one of those two velocities is zero or parallel, the precise direction of the absolute velocity can be obtained.

	:As the direction of the transportation velocity changes from one point in the bar to another, but that of the relative velocity does not, we may move along the bar until we discover a point where <math>\vec{\textbf{v}}_{REL}\|\|\vec{\textbf{v}}_{tr}</math>. From that point, <math>\vec{\textbf{v}}_{AB}</math> is parallel to the bar. The intersection of the line perpendicular to the bar through that point and the <math>\Os\Qs</math> direction is the ICR of the bar relative to the ground.		:As the direction of the transportation velocity changes from one point in the bar to another, but that of the relative velocity does not, we may move along the bar until we discover a point where <math>\vec{\textbf{v}}_\text{REL}\|\|\vec{\textbf{v}}_{tr}</math>. From that point, <math>\vec{\textbf{v}}_{AB}</math> is parallel to the bar. The intersection of the line perpendicular to the bar through that point and the <math>\Os\Qs</math> direction is the ICR of the bar relative to the ground.
	\|}		\|}
	[[File:C5-Ex2-3-4-eng.png\|thumb\|center\|400px\|link=]]		[[File:C5-Ex2-3-4-eng.png\|thumb\|center\|400px\|link=]]
	</small>		</small>


	====✏️ EXAMPLE C5-2.4====		====✏️ EXAMPLE C5-2.4====

Bros: /* C5.2 Examples */

2024-11-04T18:33:30Z

C5.2 Examples

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	==C5.2 Examples==		==C5.2 Examples==
	~~'''FALTEN TITOLS ALS EXEMPLES'''~~
	====✏️ EXAMPLE C5-2.1====		====✏️ EXAMPLE C5-2.1====
	------		------

Apons: /* 2. Find the curvature centre of the P trajectory relative to the ground */

2024-09-16T23:19:39Z

2. Find the curvature centre of the P trajectory relative to the ground

← Older revision		Revision as of 23:19, 16 September 2024
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	<center>		<center>
	[[C4. Rigid body kinematics\|<<< Rigid body kinematics]]		[[C4. Rigid body kinematics\|<<< C4. Rigid body kinematics]]

	[[D7. Examples of 3D dynamics\|Examples of 3D dynamics>>>]]		[[D7. Examples of 3D dynamics\|D7. Examples of 3D dynamics>>>]]
	</center>		</center>

Apons: /* 2. Find the curvature centre of the P trajectory relative to the ground */

2024-09-16T23:16:46Z

2. Find the curvature centre of the P trajectory relative to the ground

← Older revision		Revision as of 23:16, 16 September 2024
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	[[C4. Rigid body kinematics\|<<< Rigid body kinematics]]		[[C4. Rigid body kinematics\|<<< Rigid body kinematics]]

	[[~~DYNAMICS~~\|~~DYNAMICS~~>>>]]		[[D7. Examples of 3D dynamics\|Examples of 3D dynamics>>>]]
	</center>		</center>

Apons: /* 2. Find the curvature centre of the P trajectory relative to the ground */

2024-09-16T23:15:45Z

2. Find the curvature centre of the P trajectory relative to the ground

← Older revision		Revision as of 23:15, 16 September 2024
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	<p align="right"><small>© Universitat Politècnica de Catalunya. [[Mecànica:Drets d'autor \|~~Tots els drets reservats~~]]</small></p>		<p align="right"><small>© Universitat Politècnica de Catalunya. [[Mecànica:Drets d'autor \|All rights reserved]]</small></p>

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	~~---~~----------		----------


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	<center>		<center>
	[[C4. ~~Cinemàtica del sòlid rígid~~\|<<< ~~C4. Cinemàtica del sòlid rígid~~]]		[[C4. Rigid body kinematics\|<<< Rigid body kinematics]]

	~~D.1 ''EN CONSTRUCCIÓ''~~ >>>		[[DYNAMICS\|DYNAMICS>>>]]
	</center>		</center>

Apons: /* 🔎 EXAMPLE C5-E.3: wheels with connecting rod */

2024-09-10T01:35:30Z

🔎 EXAMPLE C5-E.3: wheels with connecting rod

← Older revision		Revision as of 01:35, 10 September 2024
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	[[File:C5-E-Ex3-1-eng.png\|thumb\|left\|200px\|link=]]		[[File:C5-E-Ex3-1-eng.png\|thumb\|left\|200px\|link=]]
			<br>
	<br>		<br>
	<br>		<br>

Apons: /* 🔎 EXAMPLE C5-E.3: wheels with connecting rod */

2024-09-10T01:35:09Z

🔎 EXAMPLE C5-E.3: wheels with connecting rod

← Older revision		Revision as of 01:35, 10 September 2024
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	<br>		<br>
	The two wheels have the same radius and are connected through a rod articulated to two points of their periphery.		The two wheels have the same radius and are connected through a rod articulated to two points of their periphery.
			<br>
	<br>		<br>
	<br>		<br>