Calculating Moment of Force for 300kg Crate Around Support A | 3000N Force

In summary, to calculate the moment of the force exerted by the crate around support A, you must first determine the weight of the crate, which is 300 kg. Then, convert this to Newtons by multiplying by 10, giving a total weight of 3000N. Next, using the formula MA = weight x distance of centre of mass from A, we can solve for Ra by setting MA equal to 3000N*6m-2571.42, resulting in a final answer of Ra = 428.57 N. However, it is important to note that this calculation assumes the centre of mass of the crate is at 6m from the left. Overall, your calculations are correct, but it is
  • #1
John78
21
0

Homework Statement



Calculate the moment of the force exerted by the crate around support A.

Homework Equations



crate = 300 kg
1 kg=10N
300Kg*10=3000N

The Attempt at a Solution



Ra*42 m = 3000N *6m
Ra = 428,57 N

Rb*42 m = 3000N *36m
Rb=2571,42 N


I just want to check whether my working is correct or not.
 

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  • #2
It's easy
 
  • #3
not for every one :C
 
  • #4
It is not easy because you have not been told the size of the box!
The moment of the box = weight x distance of centre of mass from A
 
  • #5
I know only that crate = 300 kg
 
  • #6
My calculation looks like that

crate = 300 kg
1 kg=10N
300Kg*10=3000N

Ra*42 m = 3000N *6m
Ra = 428,57 N

Rb*42 m = 3000N *36m
Rb=2571,42 N

MA=3000N*6m-2571,42
MA=-89999,64

Ra+Rb=428,57+2571,42=2999,99=3000N!

So the answer is Ra = 428,57 N

Am I right i thinking?
 
  • #7
if you assume that the cm of the crate is at 6 m from the left, your calculations are good, ecept that you should round them off to about 400N and 2600 N, respectively.
 

1. What is the formula for calculating moment of force?

The formula for calculating moment of force is force multiplied by the distance from the pivot point, or M = F x d. In this case, the force is 3000N and the distance is the distance from the pivot point to the crate.

2. How do you determine the direction of the moment of force?

The direction of the moment of force is determined by the right-hand rule. If you point your right thumb in the direction of the force, your fingers will curl in the direction of the moment of force.

3. What is the unit of measurement for moment of force?

The unit of measurement for moment of force is Newton-meters (Nm) in the SI system. In this case, the moment of force would be measured in Nm.

4. How do you calculate the moment of force for an object with multiple forces acting on it?

To calculate the moment of force for an object with multiple forces acting on it, you would need to find the sum of all the individual moments of force. This can be done by calculating the moment of force for each individual force and then adding them together.

5. How does the moment of force affect an object's rotational motion?

The moment of force causes an object to rotate around an axis or pivot point. The larger the moment of force, the greater the object's rotational acceleration. If the moment of force is in the opposite direction of the object's current motion, it can also cause the object to slow down or stop its rotation.

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