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What horizontal force must be applied to a large block of mass M shown in the figure above so that the tan blocks remain stationary relative to M?

What horizontal force must be applied to a large block of mass M shown in the figure above so that the tan blocks remain stationary relative to M? Assume all surfaces and the pulley are frictionless. Notice that the force exerted by the string accelerates m2. (Use the following as necessary: m1, m2, M, and g.)
F =

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