Physics, asked by lauryncourington, 11 months ago

what are the factors affecting a lever?

Answers

Answered by vuhasrith324
0

Answer:

on one end of a class 1 lever in equilibrium force

F

is applied on a distance

a

from a fulcrum and another force

f

is applied on the other end of a lever on distance

b

from a fulcrum, then

F

f

=

b

a

Explanation:

Consider a lever of the 1st class that consists of a rigid rod that can rotate around a fulcrum. When one end of a rod goes up, another goes down.

This lever can be used to lift up a heavy object with significantly weaker than its weight force. It all depends on the lengths of points of application of forces from the fulcrum of the lever.

Assume that a heavy load is positioned at a length

a

from the fulcrum, the force it pushes down on a rod is

F

.

On the opposite side of a rod at a distance

b

from the fulcrum we apply a force

f

down such that two a lever is in equilibrium.

The fact that a lever is in equilibrium means that the work performed by forces

F

and

f

when a lever is pushed on either side by a small distance

d

must be the same - whatever work we, using force

f

, perform to push down our end of a lever on a distance

b

from the fulcrum should be equal to work to lift a heavy object on a distance

a

on the other end of a lever.

Rigidity of a rod that serves as a lever means that the angle a lever turns around a fulcrum is the same on both ends of a lever.

Assume that a lever turned by a small angle

ϕ

around a fulcrum slightly lifting a heavy weight. Then this heavy weight that exhorts a force

F

on one end of a rod at a distance

a

from a fulcrum was lifted by

a

sin

(

ϕ

)

height. The work performed must be

W

=

F

a

sin

(

ϕ

)

On the other end of a rod, on distance

b

from the fulcrum, force

f

pushed the lever down by

b

sin

(

ϕ

)

. The work performed equals to

W

=

f

b

sin

(

ϕ

)

Both works must be the same, so

F

a

sin

(

ϕ

)

=

f

b

sin

(

ϕ

)

or

F

f

=

b

a

From the last formula we derive that the advantage of using a lever depends on a ratio between lever ends' distance from fulcrum. The more the ratio is - the more advantage we have and more weight we can lift.

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