13. Moment - Versionshistorik

Tek: flyttade 13. Moments till 13. Moment

Tek — Mon, 01 Mar 2010 14:10:21 GMT

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Versionen från 1 mars 2010 kl. 14.10

Ian den 17 februari 2010 kl. 10.29

Ian — Wed, 17 Feb 2010 10:29:08 GMT

← Äldre version		Versionen från 17 februari 2010 kl. 10.29
Rad 9:		Rad 9:


-	Key Points	+	== '''Key Points''' ==

	The moment of the force about the point O is the product of the force and the perpendicular distance to the line of action of the force from O.		The moment of the force about the point O is the product of the force and the perpendicular distance to the line of action of the force from O.
-
-

	[[Image:T13.1.GIF]]		[[Image:T13.1.GIF]]

	<math>\text{Moment }=Fd</math>		<math>\text{Moment }=Fd</math>
-

	[[Image:T13.2.GIF]]		[[Image:T13.2.GIF]]

	<math>\text{Moment }=Fd\sin \theta </math>		<math>\text{Moment }=Fd\sin \theta </math>
-

	Clockwise moments are negative.		Clockwise moments are negative.
		+
	Anti-clockwise moments are positive.		Anti-clockwise moments are positive.

Rad 33:		Rad 30:

	[[Image:ex13.1whole.GIF]]		[[Image:ex13.1whole.GIF]]
-
-
-


Rad 46:		Rad 40:

	For the rectangular lamina shown below, find the total moment of the forces acting, about the corner marked O.		For the rectangular lamina shown below, find the total moment of the forces acting, about the corner marked O.
-

	[[Image:ex13.3.GIF]]		[[Image:ex13.3.GIF]]
Rad 54:		Rad 47:
	{\| width="100%" cellspacing="10px" align="center"		{\| width="100%" cellspacing="10px" align="center"
	\|align="left"\| Force		\|align="left"\| Force
-	\| valign="top"\|Moment	+	\| valign="top"\|Moment (Nm)
	\|-		\|-
	\|5N at O		\|5N at O
Rad 62:		Rad 55:
	\|valign="top"\| <math>-8\times 1\textrm{.}2=-9\textrm{.}6</math>		\|valign="top"\| <math>-8\times 1\textrm{.}2=-9\textrm{.}6</math>
	\|-		\|-
-
-
-
	\|7 N		\|7 N
	\| valign="top"\| <math>7\times 0=0</math>		\| valign="top"\| <math>7\times 0=0</math>

Ian den 23 september 2009 kl. 09.39

Ian — Wed, 23 Sep 2009 09:39:45 GMT

← Äldre version		Versionen från 23 september 2009 kl. 09.39
Rad 60:		Rad 60:
	\|-		\|-
	\|8 N		\|8 N
-	\|valign="top"\| <math>-8\times 1.2=-9.6</math>	+	\|valign="top"\| <math>-8\times 1\textrm{.}2=-9\textrm{.}6</math>
	\|-		\|-

Rad 69:		Rad 69:
	\|-		\|-
	\|6 N		\|6 N
-	\| valign="top"\| <math>-6\times 0.5=-3</math>	+	\| valign="top"\| <math>-6\times 0\textrm{.}5=-3</math>
	\|-		\|-
	\|5 N		\|5 N
-	\| valign="top"\| <math>5\times 1.2=6</math>	+	\| valign="top"\| <math>5\times 1\textrm{.}2=6</math>
	\|-		\|-
	\|4 N		\|4 N
-	\| valign="top"\| <math>4\times 0.5=2</math>	+	\| valign="top"\| <math>4\times 0\textrm{.}5=2</math>
	\|-		\|-
	\|Total Moment		\|Total Moment
-	\| valign="top"\| <math>0-9.6+0-3+6+2=-4.6\text{ Nm}</math>	+	\| valign="top"\| <math>0-9\textrm{.}6+0-3+6+2=-4\textrm{.}6\text{ Nm}</math>

	\|}		\|}

Ian den 18 september 2009 kl. 11.14

Ian — Fri, 18 Sep 2009 11:14:42 GMT

← Äldre version		Versionen från 18 september 2009 kl. 11.14
Rad 29:		Rad 29:


-	Example 13.1	+
		+	'''[[Example 13.1]]'''

	[[Image:ex13.1whole.GIF]]		[[Image:ex13.1whole.GIF]]
Rad 37:		Rad 38:


-	Example 13.2	+	'''[[Example 13.2]]'''

	[[Image:ex13.2.GIF]]		[[Image:ex13.2.GIF]]

-	Example 13.3	+
		+	'''[[Example 13.3]]'''

	For the rectangular lamina shown below, find the total moment of the forces acting, about the corner marked O.		For the rectangular lamina shown below, find the total moment of the forces acting, about the corner marked O.
Rad 48:		Rad 50:
	[[Image:ex13.3.GIF]]		[[Image:ex13.3.GIF]]

-	Solution	+	'''Solution'''

	{\| width="100%" cellspacing="10px" align="center"		{\| width="100%" cellspacing="10px" align="center"

Ian den 18 september 2009 kl. 11.09

Ian — Fri, 18 Sep 2009 11:09:55 GMT

← Äldre version		Versionen från 18 september 2009 kl. 11.09
Rad 50:		Rad 50:
	Solution		Solution

-	Force Moment	+	{\| width="100%" cellspacing="10px" align="center"
-	5N at O	+	\|align="left"\| Force
-	<math>5\times 0=0</math>	+	\| valign="top"\|Moment
		+	\|-
		+	\|5N at O
		+	\| valign="top"\| <math>5\times 0=0</math>
		+	\|-
		+	\|8 N
		+	\|valign="top"\| <math>-8\times 1.2=-9.6</math>
		+	\|-

-	8 N
-	<math>-8\times 1.2=-9.6</math>

-	7 N
-	<math>7\times 0=0</math>

-	6 N	+	\|7 N
-	<math>-6\times 0.5=-3</math>	+	\| valign="top"\| <math>7\times 0=0</math>
		+	\|-
		+	\|6 N
		+	\| valign="top"\| <math>-6\times 0.5=-3</math>
		+	\|-
		+	\|5 N
		+	\| valign="top"\| <math>5\times 1.2=6</math>
		+	\|-
		+	\|4 N
		+	\| valign="top"\| <math>4\times 0.5=2</math>
		+	\|-
		+	\|Total Moment
		+	\| valign="top"\| <math>0-9.6+0-3+6+2=-4.6\text{ Nm}</math>

-	~~5 N~~	+	\|}
-	~~<math>5\times 1.2=6</math>~~	+
-		+
-	~~4 N~~	+
-	~~<math>4\times 0.5=2</math>~~	+
-		+
-	~~Total Moment~~	+
-	~~<math>0-9.6+0-3+6+2=-4.6\text{ Nm~~}~~</math>~~	+

Ian den 17 september 2009 kl. 19.22

Ian — Thu, 17 Sep 2009 19:22:29 GMT

← Äldre version		Versionen från 17 september 2009 kl. 19.22
Rad 33:		Rad 33:
	[[Image:ex13.1whole.GIF]]		[[Image:ex13.1whole.GIF]]

-	Find the moment of each force shown below about the point O.


-	[[Image:ex13.1.GIF]]
-
-	Solution
-
-	(a)
-
-	<math>20\times 0.8=16</math>
-
-	Moment is -16 Nm
-
-
-	(b)
-
-	<math>12\times 1.2=14.4</math>
-
-	Moment is 14.4 Nm
-


Rad 59:		Rad 41:
	[[Image:ex13.2.GIF]]		[[Image:ex13.2.GIF]]

-	~~Find the moment of each force shown below about the point O~~.	+	Example 13.3
-	~~(a) (b)~~	+

-
-
-
-
-
-	Solution
-	(a) (b)
-
-
-
-
-
-
-
-
-
-
-	<math>40\times 3\sin 60{}^\circ =104</math>
-
-	<math>100\times 2\sin 20{}^\circ =68.4</math>
-
-
-	Moment is 104 Nm (to 3 sf) Moment is 68.4 Nm (to 3 sf)
-
-	Example 13.3
	For the rectangular lamina shown below, find the total moment of the forces acting, about the corner marked O.		For the rectangular lamina shown below, find the total moment of the forces acting, about the corner marked O.


-		+	[[Image:ex13.3.GIF]]
-		+
-		+
-		+
-		+
-		+
-		+

	Solution		Solution

Ian den 17 september 2009 kl. 19.09

Ian — Thu, 17 Sep 2009 19:09:45 GMT

← Äldre version		Versionen från 17 september 2009 kl. 19.09
Rad 15:		Rad 15:


-	[[Image:T13.GIF]]	+	[[Image:T13.1.GIF]]

-	<math>\text{Moment }=Fd</math> ~~<math>\ \ \ \ \ \ \ \ \ \text{Moment }=Fd\sin \theta </math>~~	+	<math>\text{Moment }=Fd</math>


-	~~Clockwise moments are negative~~.	+	[[Image:T13.2.GIF]]
-	~~Anti-clockwise moments are positive~~.	+

		+	<math>\text{Moment }=Fd\sin \theta </math>

-	Example 11.1
-	Find the moment of each force shown below about the point O.
-
-	(a) (b)

		+	Clockwise moments are negative.
		+	Anti-clockwise moments are positive.


		+	Example 13.1

		+	[[Image:ex13.1whole.GIF]]

		+	Find the moment of each force shown below about the point O.


		+	[[Image:ex13.1.GIF]]

	Solution		Solution
-	(a) ~~(b)~~	+
		+	(a)

	<math>20\times 0.8=16</math>		<math>20\times 0.8=16</math>
-
-	<math>12\times 1.2=14.4</math>

		+	Moment is -16 Nm

-	~~Moment is -16 Nm~~ Moment is 14.4 Nm	+
		+	(b)
		+
		+	<math>12\times 1.2=14.4</math>
		+
		+	Moment is 14.4 Nm

		+
		+
	Example 13.2		Example 13.2
		+
		+	[[Image:ex13.2.GIF]]
		+
	Find the moment of each force shown below about the point O.		Find the moment of each force shown below about the point O.
	(a) (b)		(a) (b)

Ian den 17 september 2009 kl. 16.13

Ian — Thu, 17 Sep 2009 16:13:55 GMT

← Äldre version		Versionen från 17 september 2009 kl. 16.13
Rad 15:		Rad 15:


-		+	[[Image:T13.GIF]]
-		+
-		+	<math>\text{Moment }=Fd</math> <math>\ \ \ \ \ \ \ \ \ \text{Moment }=Fd\sin \theta </math>
-		+
-		+
-		+
-		+
-		+
-	<math>\text{Moment }=Fd</math>	+
-		+
-	<math>\text{Moment }=Fd\sin \theta </math>	+

Ian den 17 september 2009 kl. 16.04

Ian — Thu, 17 Sep 2009 16:04:46 GMT

← Äldre version		Versionen från 17 september 2009 kl. 16.04
Rad 6:		Rad 6:
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|
	\|}		\|}
		+
		+
		+
		+	Key Points
		+
		+	The moment of the force about the point O is the product of the force and the perpendicular distance to the line of action of the force from O.
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+	<math>\text{Moment }=Fd</math>
		+
		+	<math>\text{Moment }=Fd\sin \theta </math>
		+
		+
		+	Clockwise moments are negative.
		+	Anti-clockwise moments are positive.
		+
		+
		+	Example 11.1
		+	Find the moment of each force shown below about the point O.
		+
		+	(a) (b)
		+
		+
		+
		+
		+
		+
		+
		+
		+	Solution
		+	(a) (b)
		+
		+	<math>20\times 0.8=16</math>
		+
		+	<math>12\times 1.2=14.4</math>
		+
		+
		+	Moment is -16 Nm Moment is 14.4 Nm
		+
		+	Example 13.2
		+	Find the moment of each force shown below about the point O.
		+	(a) (b)
		+
		+
		+
		+
		+
		+
		+	Solution
		+	(a) (b)
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+	<math>40\times 3\sin 60{}^\circ =104</math>
		+
		+	<math>100\times 2\sin 20{}^\circ =68.4</math>
		+
		+
		+	Moment is 104 Nm (to 3 sf) Moment is 68.4 Nm (to 3 sf)
		+
		+	Example 13.3
		+	For the rectangular lamina shown below, find the total moment of the forces acting, about the corner marked O.
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+
		+	Solution
		+
		+	Force Moment
		+	5N at O
		+	<math>5\times 0=0</math>
		+
		+	8 N
		+	<math>-8\times 1.2=-9.6</math>
		+
		+	7 N
		+	<math>7\times 0=0</math>
		+
		+	6 N
		+	<math>-6\times 0.5=-3</math>
		+
		+	5 N
		+	<math>5\times 1.2=6</math>
		+
		+	4 N
		+	<math>4\times 0.5=2</math>
		+
		+	Total Moment
		+	<math>0-9.6+0-3+6+2=-4.6\text{ Nm}</math>

Ian: New page: NOTOC {| border="0" cellspacing="0" cellpadding="0" height="30" width="100%" | style="border-bottom:1px solid #797979" width="5px" | {{Selected tab|Theory}} {{No...

Ian — Thu, 17 Sep 2009 15:50:42 GMT

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