3. Exercises - Versionshistorik

Ian den 7 september 2009 kl. 14.34

Ian — Mon, 07 Sep 2009 14:34:17 GMT

← Äldre version		Versionen från 7 september 2009 kl. 14.34
Rad 159:		Rad 159:

	</div>{{#NAVCONTENT:Answer a\|Answer 3.12a\|Answer b\|Answer 3.12b\|Answer c\|Answer 3.12c}}		</div>{{#NAVCONTENT:Answer a\|Answer 3.12a\|Answer b\|Answer 3.12b\|Answer c\|Answer 3.12c}}
		+
		+
		+	===Exercise 3.13===
		+	<div class="ovning">
		+
		+	A tank has mass 800 kg. It is pulled along a horizontal surface by a rope attached to a tractor. The coefficient of friction between the tank and the ground is 0.6. The rope exerts a horizontal force of magnitude 5000 N on the tank.
		+
		+	a) Draw a diagram to show the forces acting on the tank.
		+
		+	b) Find the magnitude of the friction force acting on the tank.
		+
		+	c) Find the magnitude of the resultant force on the tank.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 3.13a\|Answer b\|Answer 3.13b\|Answer c\|Answer 3.13c\|Solution b\|Solution 3.13b\|Solution c\|Solution 3.13c}}

Ian den 7 september 2009 kl. 14.29

Ian — Mon, 07 Sep 2009 14:29:54 GMT

← Äldre version		Versionen från 7 september 2009 kl. 14.29
Rad 142:		Rad 142:

	</div>{{#NAVCONTENT:Answer a\|Answer 3.11a\|Answer b\|Answer 3.11b\|Answer c\|Answer 3.11c\|Solution a\|Solution 3.11a\|Solution b\|Solution 3.11b\|Solution c\|Solution 3.11c}}		</div>{{#NAVCONTENT:Answer a\|Answer 3.11a\|Answer b\|Answer 3.11b\|Answer c\|Answer 3.11c\|Solution a\|Solution 3.11a\|Solution b\|Solution 3.11b\|Solution c\|Solution 3.11c}}
		+
		+
		+	===Exercise 3.12===
		+	<div class="ovning">
		+
		+	A sledge has mass 12 kg. It rests on a horizontal surface. The coefficient of friction between the sledge and the ground is 0.3. A horizontal force of P N acts on the sledge.
		+	What happens to the sledge if;
		+
		+
		+	a) P = 40 N,
		+
		+	b) P = 30 N,
		+
		+	c) P = 35.28 N ?
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 3.12a\|Answer b\|Answer 3.12b\|Answer c\|Answer 3.12c}}

Ian den 7 september 2009 kl. 14.25

Ian — Mon, 07 Sep 2009 14:25:09 GMT

← Äldre version		Versionen från 7 september 2009 kl. 14.25
Rad 125:		Rad 125:

	</div>{{#NAVCONTENT:Answer a\|Answer 3.10a\|Answer b\|Answer 3.10b\|Answer c\|Answer 3.10c\|Answer d\|Answer 3.10d\|Solution a\|Solution 3.10a\|Solution b\|Solution 3.10b\|Solution c\|Solution 3.10c\|Solution d\|Solution 3.10d}}		</div>{{#NAVCONTENT:Answer a\|Answer 3.10a\|Answer b\|Answer 3.10b\|Answer c\|Answer 3.10c\|Answer d\|Answer 3.10d\|Solution a\|Solution 3.10a\|Solution b\|Solution 3.10b\|Solution c\|Solution 3.10c\|Solution d\|Solution 3.10d}}
		+
		+
		+	===Exercise 3.11===
		+	<div class="ovning">
		+
		+	The diagram shows a system, in which two weights are attached by light strings to a block that is at rest on a rough horizontal surface.
		+
		+
		+	[[Image:E3.11.GIF]]
		+
		+	a) Find the tension in the right hand string.
		+
		+	b) Find the tension in the left hand string.
		+
		+	c) Find an inequality that the coefficient of friction between the block and the surface must satisfy.
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 3.11a\|Answer b\|Answer 3.11b\|Answer c\|Answer 3.11c\|Solution a\|Solution 3.11a\|Solution b\|Solution 3.11b\|Solution c\|Solution 3.11c}}

Ian den 7 september 2009 kl. 14.15

Ian — Mon, 07 Sep 2009 14:15:38 GMT

← Äldre version		Versionen från 7 september 2009 kl. 14.15
Rad 95:		Rad 95:
	[[Image:E3.9.GIF]]		[[Image:E3.9.GIF]]

-	(a) Calculate the magnitude of the normal reaction force acting on the box.	+	a) Calculate the magnitude of the normal reaction force acting on the box.

	b) What is the magnitude of the friction force on the box if <math>P=760\text{ N}</math>.		b) What is the magnitude of the friction force on the box if <math>P=760\text{ N}</math>.
Rad 104:		Rad 104:

	</div>{{#NAVCONTENT:Answer a\|Answer 3.9a\|Answer b\|Answer 3.9b\|Answer c\|Answer 3.9c\|Solution a\|Solution 3.9a\|Solution b\|Solution 3.9b\|Solution c\|Solution 3.9c}}		</div>{{#NAVCONTENT:Answer a\|Answer 3.9a\|Answer b\|Answer 3.9b\|Answer c\|Answer 3.9c\|Solution a\|Solution 3.9a\|Solution b\|Solution 3.9b\|Solution c\|Solution 3.9c}}
		+
		+
		+	===Exercise 3.10===
		+	<div class="ovning">
		+
		+	The diagram shows a block of mass 12 kg that is connected by a light string to a weight of mass 8 kg. The system remains at rest, with the block on a horizontal surface. The coefficient of friction between the block and the horizontal surface is .
		+
		+
		+	[[Image:E3.10.GIF]]
		+
		+	a) Find the tension in the string.
		+
		+	b) Find the normal reaction force on the block.
		+
		+	c) Find the magnitude of the friction force.
		+
		+	d) Find an inequality that <math>\mu </math> must satisfy.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 3.10a\|Answer b\|Answer 3.10b\|Answer c\|Answer 3.10c\|Answer d\|Answer 3.10d\|Solution a\|Solution 3.10a\|Solution b\|Solution 3.10b\|Solution c\|Solution 3.10c\|Solution d\|Solution 3.10d}}

Ian den 7 september 2009 kl. 14.01

Ian — Mon, 07 Sep 2009 14:01:06 GMT

← Äldre version		Versionen från 7 september 2009 kl. 14.01
Rad 92:		Rad 92:
	A box, of mass 200 kg, is on a rough, horizontal surface. A horizontal force of magnitude P N acts on the box as shown in the diagram. The coefficient of friction between the surface and the box is 0.4.		A box, of mass 200 kg, is on a rough, horizontal surface. A horizontal force of magnitude P N acts on the box as shown in the diagram. The coefficient of friction between the surface and the box is 0.4.

		+
		+	[[Image:E3.9.GIF]]

	(a) Calculate the magnitude of the normal reaction force acting on the box.		(a) Calculate the magnitude of the normal reaction force acting on the box.

-	b) What is the magnitude of the friction force on the box if .	+	b) What is the magnitude of the friction force on the box if <math>P=760\text{ N}</math>.
		+
	Explain your answer.		Explain your answer.

-	c) Calculate the magnitude of the resultant force on the box if.	+	c) Calculate the magnitude of the resultant force on the box if <math>P=1000\text{ N}</math>.

	</div>{{#NAVCONTENT:Answer a\|Answer 3.9a\|Answer b\|Answer 3.9b\|Answer c\|Answer 3.9c\|Solution a\|Solution 3.9a\|Solution b\|Solution 3.9b\|Solution c\|Solution 3.9c}}		</div>{{#NAVCONTENT:Answer a\|Answer 3.9a\|Answer b\|Answer 3.9b\|Answer c\|Answer 3.9c\|Solution a\|Solution 3.9a\|Solution b\|Solution 3.9b\|Solution c\|Solution 3.9c}}

Ian den 7 september 2009 kl. 13.23

Ian — Mon, 07 Sep 2009 13:23:56 GMT

← Äldre version		Versionen från 7 september 2009 kl. 13.23
Rad 82:		Rad 82:
	===Exercise 3.8===		===Exercise 3.8===
	<div class="ovning">		<div class="ovning">
-	Three boxes have masses of 5 kg, 12 kg and 10 kg. They are stacked on a horizontal surface with the 12 kg box at the bottom. Draw a diagram to show the forces acting on this box and calculate the magnitude of each of these ~~forceshttp://wiki~~.~~math.se/wikis/2009/bridgecoursemechanics/skins/mathse/spacer.gif~~	+	Three boxes have masses of 5 kg, 12 kg and 10 kg. They are stacked on a horizontal surface with the 12 kg box at the bottom. Draw a diagram to show the forces acting on this box and calculate the magnitude of each of these forces.

	</div>{{#NAVCONTENT:Diagram\|Diagram3.8\|Answer\|Answer 3.8\|Solution\|Solution 3.8}}		</div>{{#NAVCONTENT:Diagram\|Diagram3.8\|Answer\|Answer 3.8\|Solution\|Solution 3.8}}

Ian den 7 september 2009 kl. 13.22

Ian — Mon, 07 Sep 2009 13:22:33 GMT

← Äldre version		Versionen från 7 september 2009 kl. 13.22
Rad 62:		Rad 62:

	A simple pendulum consists of a small metal sphere attached to a length of string. The sphere then swings in a vertical plane, describing a circular arc. Draw a diagram to show the forces acting on the sphere when it is at		A simple pendulum consists of a small metal sphere attached to a length of string. The sphere then swings in a vertical plane, describing a circular arc. Draw a diagram to show the forces acting on the sphere when it is at
-	~~http://wiki.math.se/wikis/2009/bridgecoursemechanics/skins/mathse/spacer.gif~~	+
	a) its lowest point,		a) its lowest point,

Rad 85:		Rad 85:

	</div>{{#NAVCONTENT:Diagram\|Diagram3.8\|Answer\|Answer 3.8\|Solution\|Solution 3.8}}		</div>{{#NAVCONTENT:Diagram\|Diagram3.8\|Answer\|Answer 3.8\|Solution\|Solution 3.8}}
		+
		+
		+	===Exercise 3.9===
		+	<div class="ovning">
		+
		+	A box, of mass 200 kg, is on a rough, horizontal surface. A horizontal force of magnitude P N acts on the box as shown in the diagram. The coefficient of friction between the surface and the box is 0.4.
		+
		+
		+	(a) Calculate the magnitude of the normal reaction force acting on the box.
		+
		+	b) What is the magnitude of the friction force on the box if .
		+	Explain your answer.
		+
		+	c) Calculate the magnitude of the resultant force on the box if.
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 3.9a\|Answer b\|Answer 3.9b\|Answer c\|Answer 3.9c\|Solution a\|Solution 3.9a\|Solution b\|Solution 3.9b\|Solution c\|Solution 3.9c}}

Ian den 7 september 2009 kl. 13.00

Ian — Mon, 07 Sep 2009 13:00:16 GMT

← Äldre version		Versionen från 7 september 2009 kl. 13.00
Rad 84:		Rad 84:
	Three boxes have masses of 5 kg, 12 kg and 10 kg. They are stacked on a horizontal surface with the 12 kg box at the bottom. Draw a diagram to show the forces acting on this box and calculate the magnitude of each of these forceshttp://wiki.math.se/wikis/2009/bridgecoursemechanics/skins/mathse/spacer.gif		Three boxes have masses of 5 kg, 12 kg and 10 kg. They are stacked on a horizontal surface with the 12 kg box at the bottom. Draw a diagram to show the forces acting on this box and calculate the magnitude of each of these forceshttp://wiki.math.se/wikis/2009/bridgecoursemechanics/skins/mathse/spacer.gif

-	</div>{{#NAVCONTENT:Answer\|Answer 3.8\|Solution\|Solution 3.8}}	+	</div>{{#NAVCONTENT:Diagram\|Diagram3.8\|Answer\|Answer 3.8\|Solution\|Solution 3.8}}

Ian den 7 september 2009 kl. 12.57

Ian — Mon, 07 Sep 2009 12:57:48 GMT

← Äldre version		Versionen från 7 september 2009 kl. 12.57
Rad 29:		Rad 29:
	The diagram shows two masses and two strings that are suspended from a fixed point.		The diagram shows two masses and two strings that are suspended from a fixed point.
	Find the tension in each string.		Find the tension in each string.
-

	</div>{{#NAVCONTENT:Answer\|Answer 3.3\|Solution\|Solution 3.3}}		</div>{{#NAVCONTENT:Answer\|Answer 3.3\|Solution\|Solution 3.3}}
Rad 40:		Rad 39:

	A plank leans against the back of a lorry, as shown in the diagram. Draw a diagram to show the forces acting on the plank.		A plank leans against the back of a lorry, as shown in the diagram. Draw a diagram to show the forces acting on the plank.
-

	</div>{{#NAVCONTENT:Answer\|Answer 3.4}}		</div>{{#NAVCONTENT:Answer\|Answer 3.4}}
Rad 64:		Rad 62:

	A simple pendulum consists of a small metal sphere attached to a length of string. The sphere then swings in a vertical plane, describing a circular arc. Draw a diagram to show the forces acting on the sphere when it is at		A simple pendulum consists of a small metal sphere attached to a length of string. The sphere then swings in a vertical plane, describing a circular arc. Draw a diagram to show the forces acting on the sphere when it is at
-		+	http://wiki.math.se/wikis/2009/bridgecoursemechanics/skins/mathse/spacer.gif
	a) its lowest point,		a) its lowest point,

Rad 70:		Rad 68:

	c) between its highest and lowest points.		c) between its highest and lowest points.
-

	</div>{{#NAVCONTENT:Answer a\|Answer 3.6a\|Answer b\|Answer 3.6b\|Answer c\|Answer 3.6c}}		</div>{{#NAVCONTENT:Answer a\|Answer 3.6a\|Answer b\|Answer 3.6b\|Answer c\|Answer 3.6c}}
Rad 79:		Rad 76:

	A sledge slides down a slope. Draw a diagram to show the forces acting on the sledge.		A sledge slides down a slope. Draw a diagram to show the forces acting on the sledge.
-

	</div>{{#NAVCONTENT:Answer\|Answer 3.7}}		</div>{{#NAVCONTENT:Answer\|Answer 3.7}}
		+
		+
		+	===Exercise 3.8===
		+	<div class="ovning">
		+	Three boxes have masses of 5 kg, 12 kg and 10 kg. They are stacked on a horizontal surface with the 12 kg box at the bottom. Draw a diagram to show the forces acting on this box and calculate the magnitude of each of these forceshttp://wiki.math.se/wikis/2009/bridgecoursemechanics/skins/mathse/spacer.gif
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 3.8\|Solution\|Solution 3.8}}

Ian den 7 september 2009 kl. 12.49

Ian — Mon, 07 Sep 2009 12:49:48 GMT

← Äldre version		Versionen från 7 september 2009 kl. 12.49
Rad 62:		Rad 62:
	===Exercise 3.6===		===Exercise 3.6===
	<div class="ovning">		<div class="ovning">
-
-
-

	A simple pendulum consists of a small metal sphere attached to a length of string. The sphere then swings in a vertical plane, describing a circular arc. Draw a diagram to show the forces acting on the sphere when it is at		A simple pendulum consists of a small metal sphere attached to a length of string. The sphere then swings in a vertical plane, describing a circular arc. Draw a diagram to show the forces acting on the sphere when it is at
Rad 75:		Rad 72:


		+	</div>{{#NAVCONTENT:Answer a\|Answer 3.6a\|Answer b\|Answer 3.6b\|Answer c\|Answer 3.6c}}


		+	===Exercise 3.7===
		+	<div class="ovning">

-	</div>{{#NAVCONTENT:Answer ~~a\|Answer 3.6a\|Answer b\|Answer 3.6b\|Answer c~~\|Answer 3.6c}}	+	A sledge slides down a slope. Draw a diagram to show the forces acting on the sledge.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 3.7}}