Solving Forces and Angles to Load Fuel Drum

In summary: As for part b), the minimum angle to the horizontal at which the plank can still be used to load the drum can be calculated using the formula A = cos-1(166/197). This is because at this angle, the internal moment arm of the plank is reduced, allowing it to support a greater weight.
  • #1
k3l
12
0
hi, i need help on a question

its like... there is a operator supported a plank horizontally by its two ends, but when loaded bricks on its centre and found that the weight of 166kg of bricks was just enough to break the plank. But an identical plank is now being used as a ramp to load a full 200L fuel drum onto a truck. The drum and its contents have a mass of 197kg.

a) Carefully explain why the operator could still use this plank to load the fuel drum.
b) what is the minimum angle to the horizontal at which the plank can still used to load the drum?

i don't know where to start... as i don't know how to answer part a) :mad:
 
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  • #2
min angle would be = cos-1(166/197)
 
  • #3
and the reason the greater weight could be carried is b/c when the plank is at angle the internal moment arm is less
 
  • #4
k3l said:
hi, i need help on a question

its like... there is a operator supported a plank horizontally by its two ends, but when loaded bricks on its centre and found that the weight of 166kg of bricks was just enough to break the plank. But an identical plank is now being used as a ramp to load a full 200L fuel drum onto a truck. The drum and its contents have a mass of 197kg.

a) Carefully explain why the operator could still use this plank to load the fuel drum.
b) what is the minimum angle to the horizontal at which the plank can still used to load the drum?

i don't know where to start... as i don't know how to answer part a) :mad:

The original plank broke at 166 kg because the gravitational force NORMAL to its surface exceeded the plank's capacity. When the plank is tilted, the component of gravitational force NORMAL to the surface is reduced by a factor of cos(A), where "A" is the plank's tilt angle with respect to horizontal ground. Thus, the minimum "A" required for 197 kg can be determined from:
(197)*cos(A) = (166) <--- (derive this yourself by resolving grav force into components normal and parallel to plank surface)
~
 
Last edited:
  • #5
how do i attach a document
 
  • #6
plank

this should help
 

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FAQ: Solving Forces and Angles to Load Fuel Drum

What are forces and angles in relation to loading a fuel drum?

Forces refer to the external influences that act on an object, while angles refer to the direction of these forces. In the context of loading a fuel drum, forces and angles are important as they determine the stability and balance of the drum, ensuring safe transportation and storage.

How do you calculate the forces and angles needed to load a fuel drum?

The forces and angles needed to load a fuel drum can be calculated using basic physics principles, specifically the laws of motion and the concept of equilibrium. First, determine the weight of the drum and any additional contents. Then, consider the forces acting on the drum, such as gravity and friction, and calculate their magnitude and direction. Finally, use the equations of equilibrium to determine the necessary forces and angles to maintain balance.

What factors should be considered when solving forces and angles for loading a fuel drum?

When solving forces and angles for loading a fuel drum, it is important to consider the weight and size of the drum, the surface it will be loaded onto, and the forces that will act on it during transport or storage. Other factors to consider include the environmental conditions, such as wind or uneven terrain, and any potential hazards that may affect the stability of the drum.

Can computer simulations be used to solve forces and angles for loading a fuel drum?

Yes, computer simulations can be used to solve forces and angles for loading a fuel drum. These simulations use mathematical models and algorithms to simulate real-world scenarios and calculate the forces and angles needed for balance. They can also take into account various factors and variables to provide accurate results and predict potential outcomes.

How can solving forces and angles for loading a fuel drum improve safety?

Solving forces and angles for loading a fuel drum is crucial for ensuring safety during transportation and storage. By accurately calculating the forces and angles, it is possible to determine the best loading and storage methods to prevent accidents such as tipping or spilling. This information also helps to identify potential hazards and address them before they become a safety issue.

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