14. Exercises - Revision history

Ian at 13:25, 27 April 2011

2011-04-27T13:25:42Z

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	===Exercise14.1===		===Exercise14.1===

Ian at 19:36, 10 November 2009

2009-11-10T19:36:18Z

←Older revision		Revision as of 19:36, 10 November 2009
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	<div class="ovning">		<div class="ovning">

		+	A ladder, of mass 20 kg and length 5 m, has its base on rough, horizontal ground and rests against a smooth vertical wall. The coefficient of friction between the ground and the ladder is 0.6. The angle between the ladder and the ground is <math>\theta </math>.

		+	a) Find the magnitude of the friction force acting on the ladder in terms of <math>\theta </math>.
		+
		+	b) Find the smallest value of <math>\theta </math>, for which the ladder will remain at rest.

	</div>{{#NAVCONTENT:Answer\|Answer 14.7\|Solution a\|Solution 14.7a\|Solution b\|Solution 14.7b}}		</div>{{#NAVCONTENT:Answer\|Answer 14.7\|Solution a\|Solution 14.7a\|Solution b\|Solution 14.7b}}

Ian at 19:29, 10 November 2009

2009-11-10T19:29:32Z

←Older revision		Revision as of 19:29, 10 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 14.1\|Solution a\|Solution 14.1a\|Solution b\|Solution 14.1b}}		</div>{{#NAVCONTENT:Answer\|Answer 14.1\|Solution a\|Solution 14.1a\|Solution b\|Solution 14.1b}}
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		+


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	</div>{{#NAVCONTENT:Answer\|Answer 14.5\|Solution a\|Solution 14.5a\|Solution b\|Solution 14.5b}}		</div>{{#NAVCONTENT:Answer\|Answer 14.5\|Solution a\|Solution 14.5a\|Solution b\|Solution 14.5b}}
		+
		+
		+	===Exercise 14.6===
		+	<div class="ovning">
		+
		+	A ladder, of length 5 m and mass 25 kg, leans against a smooth wall so that it is at an angle of 70<math>{}^\circ </math> to the horizontal. The ladder remains at rest, with its base on rough, horizontal ground.
		+	(a) Find the magnitude of the normal reaction and friction forces acting on the base of the ladder.
		+	(b) Find an inequality that the coefficient of friction must satisfy.
		+
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 14.6\|Solution a\|Solution 14.6a\|Solution b\|Solution 14.6b}}
		+
		+
		+
		+	===Exercise 14.7===
		+	<div class="ovning">
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 14.7\|Solution a\|Solution 14.7a\|Solution b\|Solution 14.7b}}

Ian at 19:12, 10 November 2009

2009-11-10T19:12:19Z

←Older revision		Revision as of 19:12, 10 November 2009
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		+	A metal beam, of mass 6 kg and length 2m, rests in a horizontal position on two supports that are at a distance of 40 cm from each end of the beam. A 1.2 kg mass is placed at one end of the beam.
		+
		+	a) Find the magnitude of the reaction forces acting on the beam.
		+
		+	b) What is the greatest mass that could be placed at the other end of the beam, if it is to remain in equilibrium?


	</div>{{#NAVCONTENT:Answer\|Answer 14.5\|Solution a\|Solution 14.5a\|Solution b\|Solution 14.5b}}		</div>{{#NAVCONTENT:Answer\|Answer 14.5\|Solution a\|Solution 14.5a\|Solution b\|Solution 14.5b}}

Ian at 19:08, 10 November 2009

2009-11-10T19:08:23Z

←Older revision		Revision as of 19:08, 10 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 14.4\|Solution a\|Solution 14.4a\|Solution b\|Solution 14.4b}}		</div>{{#NAVCONTENT:Answer\|Answer 14.4\|Solution a\|Solution 14.4a\|Solution b\|Solution 14.4b}}
		+
		+
		+	===Exercise 14.5===
		+	<div class="ovning">
		+
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 14.5\|Solution a\|Solution 14.5a\|Solution b\|Solution 14.5b}}

Ian at 18:16, 10 November 2009

2009-11-10T18:16:41Z

←Older revision		Revision as of 18:16, 10 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 14.3\|Solution\|Solution 14.3}}		</div>{{#NAVCONTENT:Answer\|Answer 14.3\|Solution\|Solution 14.3}}
		+
		+
		+
		+	===Exercise 14.4===
		+	<div class="ovning">
		+
		+	A uniform rod of mass 18 kg and length 6m rests on two supports.
		+
		+
		+	[[Image:E14.4.GIF]]
		+
		+
		+	a) Find the magnitude of each force exerted on the rod by the supports.
		+
		+	A particle is attached to the rod at the right hand end.
		+
		+	b) What is the greatest possible mass of the particle if the rod remains in equilibrium?
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 14.4\|Solution a\|Solution 14.4a\|Solution b\|Solution 14.4b}}

Ian at 18:07, 10 November 2009

2009-11-10T18:07:59Z

←Older revision		Revision as of 18:07, 10 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 14.2\|Solution\|Solution 14.2}}		</div>{{#NAVCONTENT:Answer\|Answer 14.2\|Solution\|Solution 14.2}}
		+
		+
		+
		+
		+	===Exercise 14.3===
		+	<div class="ovning">
		+
		+	A uniform beam has mass 20 kg and length 6 m. It rests on two supports that are 1.5 m from each end of the beam. A concrete block of mass 5 kg is placed at a point on the beam at a distance of 2.5 m from one end. Find the magnitude of the reaction forces exerted on the beam by the two supports.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 14.3\|Solution\|Solution 14.3}}

Ian at 19:32, 9 November 2009

2009-11-09T19:32:41Z

←Older revision		Revision as of 19:32, 9 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 14.1\|Solution a\|Solution 14.1a\|Solution b\|Solution 14.1b}}		</div>{{#NAVCONTENT:Answer\|Answer 14.1\|Solution a\|Solution 14.1a\|Solution b\|Solution 14.1b}}
		+
		+
		+
		+	===Exercise 14.2===
		+	<div class="ovning">
		+
		+	A plank has length 6 m. The plank is placed on a quayside with its mid-point at the edge of the quay, so that half of the plank sticks out over the water. A rock of mass m kg, which should be modeled as a particle is placed at the end of the plank which is on the ground. A person of mass 60 kg walks on the part of plank that is over the water. When the person is 1 m from the end the plank is on the point of tipping. Find m.
		+
		+	[[Image:E14.2.GIF]]
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 14.2\|Solution\|Solution 14.2}}

Ian at 19:19, 9 November 2009

2009-11-09T19:19:39Z

←Older revision		Revision as of 19:19, 9 November 2009
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		+
		+
		+	===Exercise14.1===
		+	<div class="ovning">
		+
		+	A uniform beam of mass 20 kg and length 3m rests on two supports as shown below.
		+
		+	[[Image:E14.1.GIF]]
		+
		+	(a) Find the reaction force exerted by each support.
		+
		+	(b) Find the greatest mass that can be placed at the left hand end of the beam.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 14.1\|Solution a\|Solution 14.1a\|Solution b\|Solution 14.1b}}

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2009-09-20T15:51:40Z

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