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Two wooden blocks of masses M and m are placed on a smooth horizontal surface as shown in figure. If a force P is applied to the system as shown in figure such that the mass m remains stationary with respect to block of mass M, then the magnitude of the force P is

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$(M + m) g \tan β$

$g \tan β$

$(M + m) gcosec β$

$mg \cos β$

answer is A.

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Detailed Solution

$\begin{array}{l} a = \frac{F}{M + m}; macosβ = mgsin β \\ \frac{P}{(M + m)} \cos β = gsin β \\ P = (M + m) gtan β \end{array}$

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