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

[Maximise]

Homework Statement

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

Homework Equations

Force = mass x distance

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 :)

 

[jbsteele]

Yes, you will need to consider the angles of the cylinders. The force required to lift the platform will depend on the angle of the cylinder, as well as the mass and distance from the pivot point. You can calculate the force using the equation F = mgsin(theta), where g is the acceleration due to gravity and theta is the angle of the cylinder. You can then use this equation to calculate the force for your scenarios A and B.