20. Exercises - Revision history

Ian at 13:30, 27 April 2011

Ian — Wed, 27 Apr 2011 13:30:04 GMT

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Ian at 13:29, 27 April 2011

Ian — Wed, 27 Apr 2011 13:29:17 GMT

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Ian at 17:19, 25 November 2009

Ian — Wed, 25 Nov 2009 17:19:30 GMT

←Older revision		Revision as of 17:19, 25 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 20.1\|Solution\|Solution 20.1}}		</div>{{#NAVCONTENT:Answer\|Answer 20.1\|Solution\|Solution 20.1}}
-	~~http://wiki.math.se/wikis/2009/bridgecoursemechanics/skins/mathse/spacer.gif~~	+

	===Exercise 20.2===		===Exercise 20.2===

Ian at 17:15, 25 November 2009

Ian — Wed, 25 Nov 2009 17:15:23 GMT

←Older revision		Revision as of 17:15, 25 November 2009
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	</div>{{#NAVCONTENT:Answer a\|Answer 20.4a\|Answer b\|Answer 20.4b\|Answer c\|Answer 20.4c\|Solution a\|Solution 20.4a\|Solution b\|Solution 20.4b\|Solution c\|Solution 20.4c}}		</div>{{#NAVCONTENT:Answer a\|Answer 20.4a\|Answer b\|Answer 20.4b\|Answer c\|Answer 20.4c\|Solution a\|Solution 20.4a\|Solution b\|Solution 20.4b\|Solution c\|Solution 20.4c}}
		+
		+
		+	===Exercise 20.5===
		+	<div class="ovning">
		+
		+	A van, of mass 1500 kg travels around a bend of radius 80 m. The van travels at a constant speed of 15 <math>\text{m}{{\text{s}}^{-1}}</math>.
		+
		+	a) Find the magnitude of the friction force on the van.
		+
		+	b) Find the least possible value of the coefficient of friction.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 20.5a\|Answer b\|Answer 20.5b\|Solution a\|Solution 20.5a\|Solution b\|Solution 20.5b}}
		+
		+
		+
		+	===Exercise 20.6===
		+	<div class="ovning">
		+
		+	A horizontal bend on the road has a radius of 140 m. The coefficient of friction between a road surface and the tyres of a car is 0.8. The mass of the car is 1200 kg.
		+
		+	a) Find the maximum speed at which the car can travel round the bend without sliding.
		+
		+	b) Find the magnitude of the friction force in this case
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 20.6a\|Answer b\|Answer 20.6b\|Solution a\|Solution 20.6a\|Solution b\|Solution 20.6b}}

Ian at 17:12, 25 November 2009

Ian — Wed, 25 Nov 2009 17:12:12 GMT

←Older revision		Revision as of 17:12, 25 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 20.1\|Solution\|Solution 20.1}}		</div>{{#NAVCONTENT:Answer\|Answer 20.1\|Solution\|Solution 20.1}}
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	===Exercise 20.2===		===Exercise 20.2===
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	</div>{{#NAVCONTENT:Answer\|Answer 20.2\|Solution\|Solution 20.2}}		</div>{{#NAVCONTENT:Answer\|Answer 20.2\|Solution\|Solution 20.2}}
		+
		+
		+
		+	===Exercise 20.3===
		+	<div class="ovning">
		+
		+	A car, of mass 1 tonne, takes a bend, of radius 50 m, on a level road, at 60 km/h, without sliding. Find the frictional force between the tyres and the ground. What is the least value of <math>\mu </math>?
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 20.3\|Solution\|Solution 20.3}}
		+
		+
		+
		+	===Exercise 20.4===
		+	<div class="ovning">
		+
		+	A coin, of mass 20 grams, is placed on a horizontal turntable which rotates at 30 r.p.m. The coin is 5 cm from the centre of rotation. The coefficient of friction between the coin and the turntable is 0.6.
		+
		+	a) Does the coin remain in the same position on the turntable or does it slide?
		+
		+	b) What is the greatest distance from the centre of rotation that the coin can be placed, without slipping?
		+
		+	c) Would your answers to parts a) and b) change for a heavier coin? Explain why.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 20.4a\|Answer b\|Answer 20.4b\|Answer c\|Answer 20.4c\|Solution a\|Solution 20.4a\|Solution b\|Solution 20.4b\|Solution c\|Solution 20.4c}}

Ian at 17:04, 25 November 2009

Ian — Wed, 25 Nov 2009 17:04:57 GMT

←Older revision		Revision as of 17:04, 25 November 2009
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		+
		+
		+	===Exercise 20.1===
		+	<div class="ovning">
		+
		+	A particle, of mass 2 kg, is attached to a fixed point on a smooth horizontal table by a light inextensible string of length 50 cm. The particle travels in a circle on the table at 400 r.p.m. Find the tension in the string.
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 20.1\|Solution\|Solution 20.1}}
		+
		+
		+	===Exercise 20.2===
		+	<div class="ovning">
		+
		+	A marble is made to rotate against the outside rim of a circular tray of radius 0.2 m. The mass of the marble is 100 grams and it moves at 2 <math>\text{m}{{\text{s}}^{-1}}</math>. Calculate the horizontal force that the tray exerts on the marble.
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 20.2\|Solution\|Solution 20.2}}

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Ian — Mon, 16 Nov 2009 18:35:22 GMT

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