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Two blocks, of mass \( m_{1} \) and \( m_{2} \), are placed as shown in figure-2.231 and placed on a frictionless horizontal surface.
\( \mathrm{P} \) There is friction between the two blocks. An external force of

W magnitude \( F \) is applied to the top block at an angle \( \alpha \) below the horizontal.
(a) If the two blocks move together, find their acceleration.
(b) Show that the two blocks will move together only if
\[
F\frac{\mu_{s} m_{1}\left(m_{1}+m_{2}\right) g}{m_{2} \cos \alpha-\mu_{s}\left(m_{1}+m_{2}\right) \sin \alpha}
\]
Figure 2.231
Where \( \mu_{s} \) is the coefficient of static friction between the two blocks.
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