5263571
Description
Flashcards by Jack Holmes, updated more than 1 year ago
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Created by Jack Holmes
over 8 years ago
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| Question | Answer |
| How are acceleration, velocity and displacement related? | \[\int a \,dt =v \] \[\int v \,dt =x\] |
| How would you find the work done by a force when moving an object between point a and point b given foce depends on position? | \[\int_{a}^{b} F(x)dx\] |
| What is the formula for elastic energy? (Tip: Think Hooke's Law) | \[\int_{0}^{x}\frac{\lambda s}{l}\,ds = \frac{\lambda x^2}{2l}\] |
| Give Two definitions of power: One in terms of force and velocity One in terms of work done and time | \[Power=FV\] \[Power=\frac{dW}{dt}\] |
| Name all 4 SUVAT | \(v=u+at\) \(s=\frac{1}{2}(u+v)t\) \(s=ut+\frac{1}{2}at^2\) \(v^2=u^2+2as\) |
| How would you find the vector between points A and B? | \[\overset{\rightarrow}{AB}=\mathbf{b-a}\] |
| What is the scalar product of two vectors in terms of a, b and \(\cos{\theta}\)? | \[\mathbf{a\cdot b}=\left | a \right |\left | b \right |\cos{\theta}\] |
| Give the cartesian forms of resolutes in the direction of i and j | in the direction of i: \[rcos{\theta}\] in the direction of j: \[rsin{\theta}\] |
| What is the scalar products of two vectors in terms of a and b? | \[\left ( a_1 \mathbf{i}+a_2\mathbf{j}+a_3\mathbf{k}\right ) \cdot \left ( b_1 \mathbf{i}+b_2\mathbf{j}+b_3\mathbf{k}\right )= a_1b_1+a_2b_2+a_3b_3\] |
| Give angular speed and arc length in terms of radius. | \(s=r\theta\) \(Speed=r\frac{d\theta}{dt}=rw\) |
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