OCR MEI Further Mechanics A AS 2021 November — Question 2

Exam BoardOCR MEI
ModuleFurther Mechanics A AS (Further Mechanics A AS)
Year2021
SessionNovember
TopicNewton's laws and connected particles

2 The vertices of a triangular lamina, which is in the \(x - y\) plane, are at the origin O and the points \(\mathrm { A } ( 4,0 )\) and \(\mathrm { B } ( 0,3 )\). Forces, of magnitude \(T _ { 1 } \mathrm {~N} , T _ { 2 } \mathrm {~N}\) and 10 N , whose lines of action are in the \(x - y\) plane, are applied to the lamina at \(\mathrm { O } , \mathrm { A }\) and B respectively, as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{5c1cfe41-d7a2-4f69-ae79-67d9f023c246-2_814_922_1135_246}
    1. Show that \(\sin \alpha = 0.6\).
    2. Write down the value of \(\cos \alpha\). The lamina is in equilibrium.
  1. Determine the values of \(T _ { 1 } , T _ { 2 }\) and \(\theta\).