Solution 16.10a
From Mechanics
(Difference between revisions)
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Consider the | Consider the | ||
<math>\mathbf{i}</math> | <math>\mathbf{i}</math> | ||
| - | component. | + | component. The <math>\mathbf{i}</math> component on the left hand side must be the same as the <math>\mathbf{i}</math> component on the right hand side, that is zero. |
<math>\begin{align} | <math>\begin{align} | ||
Current revision
\displaystyle \begin{align} & m(5\mathbf{i}+V\mathbf{j})+\lambda m(2\mathbf{i}-V\mathbf{j})=(m+\lambda m)(3\mathbf{i}-2\mathbf{j}) \\ & (5m+2\lambda m-3m-3\lambda m)\mathbf{i}+(mV-\lambda mV+2m+2\lambda m)\mathbf{j}=0\mathbf{i}+0\mathbf{j} \\ \end{align}
Consider the
\displaystyle \mathbf{i}
component. The \displaystyle \mathbf{i} component on the left hand side must be the same as the \displaystyle \mathbf{i} component on the right hand side, that is zero.
\displaystyle \begin{align} & 5m+2\lambda m-3m-3\lambda m=0 \\ & 2-\lambda =0 \\ & \lambda =2 \\ \end{align}
