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Two wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect to the block of mass M as shown in the figure. The magnitude of force P is 

 

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a
(M+m)gtan⁡β
b
gtan⁡β
c
mgcos⁡β
d
(M+m)gcosec⁡β

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detailed solution

Correct option is A

Acceleration of the system:a=PM+m   ....(i)The FBD of mass m is shown in the figure.Rsin⁡β=ma     ......(i)Rcos⁡β=mg    .....(ii)From Eqs. (ii) and (iii), we geta=gtan⁡βPutting the value of a in (i), we getP=(M+m)gtan⁡β


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