5. Exercises - Versionshistorik

Ian den 10 september 2009 kl. 12.53

Ian — Thu, 10 Sep 2009 12:53:20 GMT

← Äldre version		Versionen från 10 september 2009 kl. 12.53
Rad 2:		Rad 2:
	{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"		{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
	\| style="border-bottom:1px solid #797979" width="5px" \|		\| style="border-bottom:1px solid #797979" width="5px" \|
-	{{Not selected tab\|[[5.Forces and equilibrium\|Theory]]}}	+	{{Not selected tab\|[[5. Forces and equilibrium\|Theory]]}}
	{{Selected tab\|[[5. Exercises\|Exercises]]}}		{{Selected tab\|[[5. Exercises\|Exercises]]}}
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|

Ian den 10 september 2009 kl. 12.42

Ian — Thu, 10 Sep 2009 12:42:06 GMT

← Äldre version		Versionen från 10 september 2009 kl. 12.42
Rad 134:		Rad 134:

	</div>{{#NAVCONTENT:Answer\|Answer 5.8\|Solution\|Solution 5.8}}		</div>{{#NAVCONTENT:Answer\|Answer 5.8\|Solution\|Solution 5.8}}
		+
		+
		+
		+	===Exercise 5.9===
		+	<div class="ovning">
		+	The diagram shows an object of mass 50 kg. Find the tension in each of the supporting cables.
		+
		+
		+	[[Image:E5.9.GIF]]
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 5.9\|Solution\|Solution 5.9}}

Ian den 10 september 2009 kl. 12.34

Ian — Thu, 10 Sep 2009 12:34:00 GMT

← Äldre version		Versionen från 10 september 2009 kl. 12.34
Rad 123:		Rad 123:


		+	</div>{{#NAVCONTENT:Answer a\|Answer 5.7a\|Answer b\|Answer 5.7b\|Solution a\|Solution 5.7a\|Solution b\|Solution 5.7b}}


-	</div>{{#NAVCONTENT:Answer a\|Answer 5.~~7a\|Answer b\|Answer 5.7b\|Solution a\|Solution 5.7a~~\|Solution b\|Solution 5.7b}}	+
		+	===Exercise 5.8===
		+	<div class="ovning">
		+	The diagram shows an object of mass 50 kg. Find the tension in each of the supporting cables.
		+
		+	[[Image:E5.8.GIF]]
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 5.8\|Solution\|Solution 5.8}}

Ian den 10 september 2009 kl. 12.11

Ian — Thu, 10 Sep 2009 12:11:35 GMT

← Äldre version		Versionen från 10 september 2009 kl. 12.11
Rad 110:		Rad 110:

	</div>{{#NAVCONTENT:Answer a\|Answer 5.6a\|Answer b\|Answer 5.6b\|Answer c\|Answer 5.6c\|Solution c\|Solution 5.6c}}		</div>{{#NAVCONTENT:Answer a\|Answer 5.6a\|Answer b\|Answer 5.6b\|Answer c\|Answer 5.6c\|Solution c\|Solution 5.6c}}
		+
		+
		+	===Exercise 5.7===
		+	<div class="ovning">
		+	A sphere, of mass 40 kg, is supported, in equilibrium, by two strings and a spring as shown in the diagram below. The tension in the horizontal string is 45 N.
		+
		+	[[Image:E5.7.GIF]]
		+
		+	a) Find the tension, ''T'', in the other string.
		+
		+	b) Find the magnitude of the force exerted by the spring and state whether the spring is in tension or compression.
		+
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 5.7a\|Answer b\|Answer 5.7b\|Solution a\|Solution 5.7a\|Solution b\|Solution 5.7b}}

Ian den 10 september 2009 kl. 12.01

Ian — Thu, 10 Sep 2009 12:01:04 GMT

← Äldre version		Versionen från 10 september 2009 kl. 12.01
Rad 95:		Rad 95:

	</div>{{#NAVCONTENT:Answer a\|Answer 5.5a\|Answer b\|Answer 5.5b\|Answer c\|Answer 5.5c\|Answer d\|Answer 5.5d\|Solution a\|Solution 5.5a\|Solution b\|Solution 5.5b\|Solution c\|Solution 5.5c\|Solution d\|Solution 5.5d}}		</div>{{#NAVCONTENT:Answer a\|Answer 5.5a\|Answer b\|Answer 5.5b\|Answer c\|Answer 5.5c\|Answer d\|Answer 5.5d\|Solution a\|Solution 5.5a\|Solution b\|Solution 5.5b\|Solution c\|Solution 5.5c\|Solution d\|Solution 5.5d}}
		+
		+
		+	===Exercise 5.6===
		+	<div class="ovning">
		+
		+	A skier, of mass 72 kg, travels down a slope, at 20<math>{}^\circ </math> to the horizontal, at a constant speed and moves in a straight line.
		+
		+	a) Are the forces acting on the skier in equilibrium ? Give reasons for your answer.
		+
		+	b) Draw a diagram to show the forces acting on the skier.
		+
		+	c) If the coefficient of friction between the skier and the snow is 0.2, find the magnitude of the air resistance force acting on the skier.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 5.6a\|Answer b\|Answer 5.6b\|Answer c\|Answer 5.6c\|Solution c\|Solution 5.6c}}

Ian den 10 september 2009 kl. 11.35

Ian — Thu, 10 Sep 2009 11:35:24 GMT

← Äldre version		Versionen från 10 september 2009 kl. 11.35
Rad 75:		Rad 75:

	</div>{{#NAVCONTENT:Answer a\|Answer 5.4a\|Answer b\|Answer 5.4b\|Answer c\|Answer 5.4c\|Solution b\|Solution 5.4b\|Solution c\|Solution 5.4c}}		</div>{{#NAVCONTENT:Answer a\|Answer 5.4a\|Answer b\|Answer 5.4b\|Answer c\|Answer 5.4c\|Solution b\|Solution 5.4b\|Solution c\|Solution 5.4c}}
		+
		+	===Exercise 5.5===
		+	<div class="ovning">
		+
		+	A tank, of mass 500 kg, is being pulled across rough horizontal ground. The coefficient of friction between the tank and the ground is 0.3. A force is applied to the tank as shown in the diagram.
		+
		+	[[Image:E5.5.GIF]]
		+
		+	The tank slides when the force is applied.
		+
		+	a) Express the 5000N force as a vector in terms of the unit vectors <math>\mathbf{i}</math> and <math>\mathbf{j}</math>.
		+
		+	b) Find the magnitude of the normal reaction force acting on the tank.
		+
		+	c) Calculate the magnitude of the friction force acting on the tank.
		+
		+	d) Find the magnitude of the resultant force on the tank.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 5.5a\|Answer b\|Answer 5.5b\|Answer c\|Answer 5.5c\|Answer d\|Answer 5.5d\|Solution a\|Solution 5.5a\|Solution b\|Solution 5.5b\|Solution c\|Solution 5.5c\|Solution d\|Solution 5.5d}}

Ian den 10 september 2009 kl. 11.22

Ian — Thu, 10 Sep 2009 11:22:41 GMT

← Äldre version		Versionen från 10 september 2009 kl. 11.22
Rad 56:		Rad 56:

	</div>{{#NAVCONTENT:Answer\|Answer 5.3\|Solution a\|Solution 5.3a\|Solution b\|Solution 5.3b}}		</div>{{#NAVCONTENT:Answer\|Answer 5.3\|Solution a\|Solution 5.3a\|Solution b\|Solution 5.3b}}
		+
		+
		+
		+
		+	===Exercise 5.4===
		+	<div class="ovning">
		+
		+	The diagram shows a block, of mass 20 kg, at rest on a rough slope inclined at 30<math>{}^\circ </math> to the horizontal.
		+
		+	[[Image:E5.4.GIF]]
		+
		+	a) Draw a diagram to show the forces acting on the block.
		+
		+	b) Calculate the magnitude of each force acting on the block.
		+
		+	c) Find the minimum value of the coefficient of friction between the block and the slope, correct to 2 significant figures.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 5.4a\|Answer b\|Answer 5.4b\|Answer c\|Answer 5.4c\|Solution b\|Solution 5.4b\|Solution c\|Solution 5.4c}}

Ian den 10 september 2009 kl. 11.10

Ian — Thu, 10 Sep 2009 11:10:05 GMT

← Äldre version		Versionen från 10 september 2009 kl. 11.10
Rad 39:		Rad 39:

	</div>{{#NAVCONTENT:Answer\|Answer 5.2\|Solution a\|Solution 5.2a\|Solution b\|Solution 5.2b}}		</div>{{#NAVCONTENT:Answer\|Answer 5.2\|Solution a\|Solution 5.2a\|Solution b\|Solution 5.2b}}
		+
		+
		+	===Exercise 5.3===
		+	<div class="ovning">
		+	Four cables are attached to the top of a telegraph pole. The tensions in these cables are shown in the diagram below. The forces acting on the pole are in equilibrium.
		+
		+	[[Image:E5.3.GIF]]
		+
		+	Assume that all the forces act in a horizontal plane.
		+
		+	(a) Express the force with magnitude ''Q'' in terms of the unit vectors <math>\mathbf{i}</math>
		+	and <math>\mathbf{j}</math>.
		+	(b) Find ''Q'' and the angle <math>\alpha </math>.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 5.3\|Solution a\|Solution 5.3a\|Solution b\|Solution 5.3b}}

Ian den 10 september 2009 kl. 09.07

Ian — Thu, 10 Sep 2009 09:07:49 GMT

← Äldre version		Versionen från 10 september 2009 kl. 09.07
Rad 25:		Rad 25:

	</div>{{#NAVCONTENT:Answer a\|Answer 5.1a\|Answer b\|Answer 5.1b\|Answer c\|Answer 5.1c\|Answer d\|Answer 5.1d\|Solution b\|Solution 5.1b\|Solution c\|Solution 5.1c\|Solution d\|Solution 5.1d}}		</div>{{#NAVCONTENT:Answer a\|Answer 5.1a\|Answer b\|Answer 5.1b\|Answer c\|Answer 5.1c\|Answer d\|Answer 5.1d\|Solution b\|Solution 5.1b\|Solution c\|Solution 5.1c\|Solution d\|Solution 5.1d}}
		+
		+	===Exercise 5.2===
		+	<div class="ovning">
		+	An object, of mass 50 kg, is supported by two ropes, as shown in the diagram below. The diagram also shows how gravity acts on the object.
		+
		+	[[Image:E5.2.GIF]]
		+
		+	a) Find <math>{{T}_{1}}</math>.
		+
		+	b) Find <math>{{T}_{2}}</math>.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 5.2\|Solution a\|Solution 5.2a\|Solution b\|Solution 5.2b}}

Ian den 9 september 2009 kl. 18.06

Ian — Wed, 09 Sep 2009 18:06:06 GMT

← Äldre version		Versionen från 9 september 2009 kl. 18.06
Rad 11:		Rad 11:


-	1. A particle of mass 20 kg is at rest on a rough slope inclined at ~~20~~ to the horizontal.	+	1. A particle of mass 20 kg is at rest on a rough slope inclined at 20<math>{}^\circ </math> to the horizontal.
-	(a) Draw a diagram to show the forces acting on the particle.	+
-	(b) Find the magnitude of the normal reaction force acting on the	+	a) Draw a diagram to show the forces acting on the particle.
		+
		+	b) Find the magnitude of the normal reaction force acting on the
	particle.		particle.
-	(c) Find the magnitude of the friction force acting on the particle.	+
-	(d) Find an inequality that , the coefficient of friction between the	+	c) Find the magnitude of the friction force acting on the particle.
		+
		+	d) Find an inequality that <math>\mu </math>, the coefficient of friction between the
	particle and the plane, must satisfy.		particle and the plane, must satisfy.


	</div>{{#NAVCONTENT:Answer a\|Answer 5.1a\|Answer b\|Answer 5.1b\|Answer c\|Answer 5.1c\|Answer d\|Answer 5.1d\|Solution b\|Solution 5.1b\|Solution c\|Solution 5.1c\|Solution d\|Solution 5.1d}}		</div>{{#NAVCONTENT:Answer a\|Answer 5.1a\|Answer b\|Answer 5.1b\|Answer c\|Answer 5.1c\|Answer d\|Answer 5.1d\|Solution b\|Solution 5.1b\|Solution c\|Solution 5.1c\|Solution d\|Solution 5.1d}}

← Äldre version		Versionen från 10 september 2009 kl. 12.53
Rad 2:		Rad 2:
	{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"		{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
	\| style="border-bottom:1px solid #797979" width="5px" \|		\| style="border-bottom:1px solid #797979" width="5px" \|
-	{{Not selected tab\|[[5.Forces and equilibrium\|Theory]]}}	+	{{Not selected tab\|[[5. Forces and equilibrium\|Theory]]}}
	{{Selected tab\|[[5. Exercises\|Exercises]]}}		{{Selected tab\|[[5. Exercises\|Exercises]]}}
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|