Question

The bending of a bean varies directly as its mas. A beam is bent 20mm by a mass 0f 40kg. how much will the beam bend with a mass of 100kg?

Answer 1

50mm with the mass of 100kg

Answer 2

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.

$20 \alpha 40kg$

$\alpha$ 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

$20 = k \times 40$

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

$Bending = 0.5 \times 100 =50mm$

There fore, the beam will bend by 50 mm with a mass of 100kg?