Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
[tex]20 \alpha 40kg[/tex]
[tex]\alpha[/tex] here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
[tex]20 = k \times 40[/tex]
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
[tex]Bending = 0.5 \times 100 =50mm[/tex]
There fore, the beam will bend by 50 mm with a mass of 100kg?
