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Two Stacked Masses on an Incline

APPHMC-YEG6GI

A crate of total mass $M$ sits on a slab of mass $m$, both on an incline as shown in the diagram. All contact surfaces have $\mu_s = 0.4$, where the angle $\theta$ the slope makes relative to the horizontal is $15^{o}$.

As the mass of the crate $M$ is steadily increased, at which point will the two masses start to slide?

A

It will slide regardless of $M$'s value.

B

When $M = m tan \theta$.

C

When $M = m \mu_s$.

D

When $M = m (\mu_s - tan \theta)$.

E

Never.