4. Exercises - Versionshistorik

Ian den 9 september 2009 kl. 15.55

2009-09-09T15:55:24Z

← Äldre version		Versionen från 9 september 2009 kl. 15.55
Rad 145:		Rad 145:

	</div>{{#NAVCONTENT:Answer a\|Answer 4.8a\|Answer b\|Answer 4.8b\|Answer c\|Answer 4.8c\|Solution a\|Solution 4.8a\|Solution b\|Solution 4.8b\|Solution c\|Solution 4.8c}}		</div>{{#NAVCONTENT:Answer a\|Answer 4.8a\|Answer b\|Answer 4.8b\|Answer c\|Answer 4.8c\|Solution a\|Solution 4.8a\|Solution b\|Solution 4.8b\|Solution c\|Solution 4.8c}}
		+
		+
		+	===Exercise 4.9===
		+	<div class="ovning">
		+	Four forces are shown on the diagram below.
		+
		+	[[Image:E4.9.GIF]]
		+
		+	a) Find the magnitude of the resultant of the four forces.
		+
		+	b) Find the angle between the resultant force and the unit vector <math>\mathbf{i}</math>
		+	correct to the nearest degree.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 4.9\|Solution a\|Solution 4.9a\|Solution b\|Solution 4.9b}}

2009-09-09T15:49:38Z

← Äldre version		Versionen från 9 september 2009 kl. 15.49
Rad 68:		Rad 68:

	a)		a)
-	<math>~~\left(~~ 4\mathbf{i}+3\mathbf{j~~} \right)\text{ N~~}</math>	+	(<math>4\mathbf{i}+3\mathbf{j}</math>
		+	) N

	b)		b)
-	<math>~~\left(~~ 4\mathbf{i}-3\mathbf{j~~} \right)\text{ N~~}</math>	+	(<math>4\mathbf{i}-3\mathbf{j}</math>
		+	) N

	c)		c)
-	<math>~~\left(~~ -2\mathbf{i}+8\mathbf{j~~} \right)\text{ N~~}</math>	+	(<math>-2\mathbf{i}+8\mathbf{j}</math>
		+	) N

	d)		d)
-	<math>~~\left(~~ -5\mathbf{i}-7\mathbf{j~~} \right)\text{ N~~}</math>	+	(<math>-5\mathbf{i}-7\mathbf{j}</math>
		+	) N

2009-09-09T15:25:46Z

← Äldre version		Versionen från 9 september 2009 kl. 15.25
Rad 114:		Rad 114:

	</div>{{#NAVCONTENT:Answer\|Answer 4.7\|Solution a\|Solution 4.7a\|Solution b\|Solution 4.7b}}		</div>{{#NAVCONTENT:Answer\|Answer 4.7\|Solution a\|Solution 4.7a\|Solution b\|Solution 4.7b}}
		+
		+
		+
		+	===Exercise 4.8===
		+	<div class="ovning">
		+
		+	A force
		+	<math>{\mathbf{F}_{1}}</math>
		+	= (<math>9\mathbf{i}+12\mathbf{j}</math>) N and a second force <math>{\mathbf{F}_{2}}</math> = (<math>-4\mathbf{i}+\mathbf{j}</math>) N act on a particle.
		+
		+	(a) Find the magnitude of
		+	<math>{\mathbf{F}_{1}}</math>.
		+
		+
		+	(b) Draw a diagram to show the direction of
		+	<math>{\mathbf{F}_{1}}</math>, and calculate the
		+	angle between
		+	<math>{\mathbf{F}_{1}}</math>
		+	and <math>\mathbf{i}</math>.
		+
		+
		+	(c) Find the resultant of
		+	<math>{\mathbf{F}_{1}}</math>
		+	and <math>{\mathbf{F}_{2}}</math>.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 4.8a\|Answer b\|Answer 4.8b\|Answer c\|Answer 4.8c\|Solution a\|Solution 4.8a\|Solution b\|Solution 4.8b\|Solution c\|Solution 4.8c}}

2009-09-09T14:54:57Z

← Äldre version		Versionen från 9 september 2009 kl. 14.54
Rad 98:		Rad 98:

	</div>{{#NAVCONTENT:Answer a\|Answer 4.6a\|Answer b\|Answer 4.6b\|Answer c\|Answer 4.6c\|Solution a\|Solution 4.6a\|Solution b\|Solution 4.6b\|Solution c\|Solution 4.6c}}		</div>{{#NAVCONTENT:Answer a\|Answer 4.6a\|Answer b\|Answer 4.6b\|Answer c\|Answer 4.6c\|Solution a\|Solution 4.6a\|Solution b\|Solution 4.6b\|Solution c\|Solution 4.6c}}
		+
		+
		+
		+
		+	===Exercise 4.7===
		+	<div class="ovning">
		+	The diagram shows 3 forces and the perpendicular unit vectors <math>\mathbf{i}</math> and <math>\mathbf{j}</math>.
		+
		+	[[Image:E4.7.GIF]]
		+
		+	a) Express each force in terms of the unit vectors <math>\mathbf{i}</math> and <math>\mathbf{j}</math>.
		+
		+	b) Find the magnitude of the resultant of the 3 forces.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 4.7\|Solution a\|Solution 4.7a\|Solution b\|Solution 4.7b}}

2009-09-08T18:17:46Z

← Äldre version		Versionen från 8 september 2009 kl. 18.17
Rad 87:		Rad 87:
	<div class="ovning">		<div class="ovning">

-	The diagram shows two forces and the unit vectors i and j.	+	The diagram shows two forces and the unit vectors <math>\mathbf{i}</math> and <math>\mathbf{j}</math>.
-		+

		+	[[Image:E4.6.GIF]]

	a) Express each force in the form <math>a\mathbf{i}+b\mathbf{j}</math>.		a) Express each force in the form <math>a\mathbf{i}+b\mathbf{j}</math>.

2009-09-08T18:12:46Z

← Äldre version		Versionen från 8 september 2009 kl. 18.12
Rad 81:		Rad 81:

	</div>{{#NAVCONTENT:Answer a\|Answer 4.5a\|Answer b\|Answer 4.5b\|Answer c\|Answer 4.5c\|Answer d\|Answer 4.5d\|Solution a\|Solution 4.5a\|Solution b\|Solution 4.5b\|Solution c\|Solution 4.5c\|Solution d\|Solution 4.5d}}		</div>{{#NAVCONTENT:Answer a\|Answer 4.5a\|Answer b\|Answer 4.5b\|Answer c\|Answer 4.5c\|Answer d\|Answer 4.5d\|Solution a\|Solution 4.5a\|Solution b\|Solution 4.5b\|Solution c\|Solution 4.5c\|Solution d\|Solution 4.5d}}
		+
		+
		+
		+	===Exercise 4.6===
		+	<div class="ovning">
		+
		+	The diagram shows two forces and the unit vectors i and j.
		+
		+
		+
		+	a) Express each force in the form <math>a\mathbf{i}+b\mathbf{j}</math>.
		+
		+	b) Find the magnitude of the resultant of these two forces.
		+
		+	c) Find the angle between the resultant force and the unit vector <math>\mathbf{i}</math>, and draw a diagram to show the direction of the resultant force.
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 4.6a\|Answer b\|Answer 4.6b\|Answer c\|Answer 4.6c\|Solution a\|Solution 4.6a\|Solution b\|Solution 4.6b\|Solution c\|Solution 4.6c}}

2009-09-08T17:53:13Z

← Äldre version		Versionen från 8 september 2009 kl. 17.53
Rad 60:		Rad 60:
	b) Find the angle between the force and the unit vector <math>\mathbf{i}</math>.		b) Find the angle between the force and the unit vector <math>\mathbf{i}</math>.

		+	</div>{{#NAVCONTENT:Answer\|Answer 4.4\|Solution a\|Solution 4.4a\|Solution b\|Solution 4.4b}}

		+	===Exercise 4.5===
		+	<div class="ovning">

-	</div>{{#NAVCONTENT:Answer\|Answer 4.4\|Solution a\|Solution 4.4a\|Solution b\|Solution 4.4b}}	+	For each force given below find its magnitude and the angle between the force and the unit vector <math>\mathbf{i}</math>.
		+
		+	a)
		+	<math>\left( 4\mathbf{i}+3\mathbf{j} \right)\text{ N}</math>
		+
		+	b)
		+	<math>\left( 4\mathbf{i}-3\mathbf{j} \right)\text{ N}</math>
		+
		+	c)
		+	<math>\left( -2\mathbf{i}+8\mathbf{j} \right)\text{ N}</math>
		+
		+	d)
		+	<math>\left( -5\mathbf{i}-7\mathbf{j} \right)\text{ N}</math>
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 4.5a\|Answer b\|Answer 4.5b\|Answer c\|Answer 4.5c\|Answer d\|Answer 4.5d\|Solution a\|Solution 4.5a\|Solution b\|Solution 4.5b\|Solution c\|Solution 4.5c\|Solution d\|Solution 4.5d}}

2009-09-08T17:30:58Z

← Äldre version		Versionen från 8 september 2009 kl. 17.30
Rad 62:		Rad 62:


-	</div>{{#NAVCONTENT:Answer\|Answer 4.3\|Solution a\|Solution 4.4a\|Solution b\|Solution 4.4b}}	+	</div>{{#NAVCONTENT:Answer\|Answer 4.4\|Solution a\|Solution 4.4a\|Solution b\|Solution 4.4b}}

2009-09-08T17:14:42Z

← Äldre version		Versionen från 8 september 2009 kl. 17.14
Rad 49:		Rad 49:

	</div>{{#NAVCONTENT:Answer\|Answer 4.3\|Solution a\|Solution 4.3a\|Solution b\|Solution 4.3b}}		</div>{{#NAVCONTENT:Answer\|Answer 4.3\|Solution a\|Solution 4.3a\|Solution b\|Solution 4.3b}}
		+
		+
		+	===Exercise 4.4===
		+	<div class="ovning">
		+	A force is expressed as 9 <math>\mathbf{i}</math><math>+</math> 10
		+	<math>\mathbf{j}</math> N.
		+
		+	a) Calculate the magnitude of this force.
		+
		+	b) Find the angle between the force and the unit vector <math>\mathbf{i}</math>.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 4.3\|Solution a\|Solution 4.4a\|Solution b\|Solution 4.4b}}

2009-09-08T14:16:04Z

← Äldre version		Versionen från 8 september 2009 kl. 14.16
Rad 34:		Rad 34:
	[[Image:E4.2.GIF]]		[[Image:E4.2.GIF]]
	</div>{{#NAVCONTENT:Answer a\|Answer 4.2a\|Answer b\|Answer 4.2b\|Answer c\|Answer 4.2c\|Answer d\|Answer 4.2d\|Answer e\|Answer 4.2e\|Answer f\|Answer 4.2f}}		</div>{{#NAVCONTENT:Answer a\|Answer 4.2a\|Answer b\|Answer 4.2b\|Answer c\|Answer 4.2c\|Answer d\|Answer 4.2d\|Answer e\|Answer 4.2e\|Answer f\|Answer 4.2f}}
		+
		+
		+
		+	===Exercise 4.3===
		+	<div class="ovning">
		+	a) Find the magnitude of the force
		+	6 <math>\mathbf{i}</math><math>+</math> 8
		+	<math>\mathbf{j}</math> N, where <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are
		+	perpendicular unit vectors.
		+
		+	b) Find the angle, to the nearest degree, between the force and the
		+	unit vector <math>\mathbf{i}</math>.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 4.3\|Solution a\|Solution 4.3a\|Solution b\|Solution 4.3b}}