Calculating the force required to lift tilting mass (similar to dumptruck) (1 Viewer)

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

Hi I am very keen to solve this problem, it is not for coursework, just something I am interested in designing.

I have attached a sketch I drew using my index finger on my laptop :)


I would like to determine the Force required of a cylinder to Lift a tilting platform.
We have two scenarios.

The platform is to move up and down between the angles shown using a cylinder of stroke 200mm.

( ~ negative 45degrees to positive 60 degrees)

The variables are the mounting positions of the cylinder.

The mass will be ~ 10kg and spread over 600mm of the platform.

The distance between the pivot and cylinder mount points are known.

Let's name coordinates from the datum (pivot) as:
horizontal coordinates x and vertical z.

Distance from pivot to cylinder mount point D.
Values in mm

Scenario A
Let's say the cylinder base
x= 15
z= -300
D = 100

Scenario B
x = 200
z = -500
D = 300

2. Relevant equations

Force = mass x distance

3. The attempt at a solution

So I could assume the centre of mass is halfway along the mass (half of 600mm).
And so I could say the force = 10 x 0.3
= 3 Nm

But would I also need to consider the angles of the cylinders? These angles will vary according to the stroke.

Hope to solve this with your help. Look forward to hearing from you :)

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