4. Exercises

From Mechanics

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[[Image:E4.2.GIF]]
[[Image:E4.2.GIF]]
</div>{{#NAVCONTENT:Answer a|Answer 4.2a|Answer b|Answer 4.2b|Answer c|Answer 4.2c|Answer d|Answer 4.2d|Answer e|Answer 4.2e|Answer f|Answer 4.2f}}
</div>{{#NAVCONTENT:Answer a|Answer 4.2a|Answer b|Answer 4.2b|Answer c|Answer 4.2c|Answer d|Answer 4.2d|Answer e|Answer 4.2e|Answer f|Answer 4.2f}}
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===Exercise 4.3===
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<div class="ovning">
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a) Find the magnitude of the force
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6 <math>\mathbf{i}</math><math>+</math> 8
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<math>\mathbf{j}</math> N, where <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are
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perpendicular unit vectors.
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b) Find the angle, to the nearest degree, between the force and the
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unit vector <math>\mathbf{i}</math>.
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</div>{{#NAVCONTENT:Answer|Answer 4.3|Solution a|Solution 4.3a|Solution b|Solution 4.3b}}

Revision as of 14:16, 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}.