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Quick question about kinetics and max acceleration

I'm trying to answer a question on kinetics but my mind's drawing a blank, I wondered if anyone could help me.

If a mass M with dimensions x x y was sat on a trolley, and the trolley was to move in -> direction, how do I work out the maximum possible acceleration to keep the mass in contact with the trolley?

Edit: The trolley is fitted with a low fixed stop preventing the mass from sliding backwards. Here's a diagram.
Reply 1
Avatar for Willa
Willa
11
surely it depends on the friction between the mass and the trolley? or am I not picturing this problem correctly?
Reply 2
Avatar for KellsEnder
KellsEnder
OP
7
Willa
surely it depends on the friction between the mass and the trolley? or am I not picturing this problem correctly?

Ah, I forgot to mention that there's a low-fixed stop on the trolley preventing the mass from sliding backwards. My bad.
Reply 3
Avatar for Mohit_C
Mohit_C
10
You have to find an expression for the resultant force (I think), and then you have to put that resultant force into F=ma.

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