Please help with this query to find how much load a dumper truck can lift without it becoming unstable and toppling.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

A lorry has a volume of 42 cubic metres and can hold 78,000kg sand. The overall length of the vehicle is 9.5m with a pivot 1.2m from an end.

The bed of the lorry is raised to deposit the sand.

What is the maximum load that can be lifted at the opposite end of the beam to deposit the sand?

2. Relevant equations

3. The attempt at a solution

The line of action/ force acting through the centre of mass = 78000kg x 10 = 780KN (approx) which acts 4.75m along the beam.

There is a clockwise moment as the centre of mass acts to the left of the pivot.

The moment between the pivot and line of action is = 780KN x 3.55m = 2769 KNm

I'm not sure how to proceed to calculate the maximum loadto prevent the lorry tipping on it's side.

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# Homework Help: Calculating the maximum load a lorry can lift

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