4. Exercises
From Mechanics
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</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=== | ||
| + | <div class="ovning"> | ||
| + | a) Find the magnitude of the force | ||
| + | 6 <math>\mathbf{i}</math><math>+</math> 8 | ||
| + | <math>\mathbf{j}</math> N, where <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are | ||
| + | perpendicular unit vectors. | ||
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| + | b) Find the angle, to the nearest degree, between the force and the | ||
| + | unit vector <math>\mathbf{i}</math>. | ||
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| + | </div>{{#NAVCONTENT:Answer|Answer 4.3|Solution a|Solution 4.3a|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}
Express the force in terms of the unit vectors \displaystyle \mathbf{i} and \displaystyle \mathbf{j}
Answer
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Solution
Exercise 4.2
Express each of the forces given below in the form \displaystyle a\mathbf{i}+b\mathbf{j}
Answer a
Answer b
Answer c
Answer d
Answer e
Answer f
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}.
