First slide

Toppling

Question

What will be the value of maximum acceleration of the truck in the forward direction so that the block kept on the back does not topple

Moderate

A

ag/h
B

hg/a
C

ag/2h
D

h/bg

Solution

Block will not topple if
$\begin{array}{l} τ_{{ma}_{t}} \leq τ_{mg} \\ \frac{{ma}_{t} h}{2} \leq mg \frac{a}{2} \\ a_{t} \leq \frac{ag}{h} \\ ∴ a_{man} = \frac{ag}{h} \end{array}$

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