4. Exercises

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

Revision as of 17:14, 8 September 2009

       Theory          Exercises      


Exercise 4.1

The diagram shows a force and the unit vectors \displaystyle \mathbf{i} and \displaystyle \mathbf{j}

Image:E4.1.GIF

Express the force in terms of the unit vectors \displaystyle \mathbf{i} and \displaystyle \mathbf{j}


Exercise 4.2

Express each of the forces given below in the form \displaystyle a\mathbf{i}+b\mathbf{j}

Image:E4.2.GIF


Exercise 4.3

a) Find the magnitude of the force 6 \displaystyle \mathbf{i}\displaystyle + 8 \displaystyle \mathbf{j} N, where \displaystyle \mathbf{i} and \displaystyle \mathbf{j} are perpendicular unit vectors.

b) Find the angle, to the nearest degree, between the force and the unit vector \displaystyle \mathbf{i}.



Exercise 4.4

A force is expressed as 9 \displaystyle \mathbf{i}\displaystyle + 10 \displaystyle \mathbf{j} N.

a) Calculate the magnitude of this force.

b) Find the angle between the force and the unit vector \displaystyle \mathbf{i}.