4. Exercises
From Mechanics
| Line 49: | Line 49: | ||
</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}} | ||
| + | |||
| + | |||
| + | ===Exercise 4.4=== | ||
| + | <div class="ovning"> | ||
| + | A force is expressed as 9 <math>\mathbf{i}</math><math>+</math> 10 | ||
| + | <math>\mathbf{j}</math> N. | ||
| + | |||
| + | a) Calculate the magnitude of this force. | ||
| + | |||
| + | b) Find the angle between the force and the unit vector <math>\mathbf{i}</math>. | ||
| + | |||
| + | |||
| + | |||
| + | </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}
Express the force in terms of the unit vectors \displaystyle \mathbf{i} and \displaystyle \mathbf{j}
Loading...
Exercise 4.2
Express each of the forces given below in the form \displaystyle a\mathbf{i}+b\mathbf{j}
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}.
