iii. [tex]E d \times L d = E \times L[/tex]

In which type of lever is work made easy only by accelerating the rate of work?

i. Third class lever
ii. Second class lever
iii. First class lever having [tex]E d = L d[/tex]
iv. First class lever having [tex]L d \ \textgreater \ E d[/tex]



Answer :

Alright, let's delve into the different types of levers to determine in which scenario work is made easier by accelerating the rate of work.

First Class Lever: In a first class lever, the fulcrum is placed between the effort (E) and the load (L). These levers can change the direction of the force. The mechanical advantage (MA) can be greater than, less than, or equal to one depending on the distances from the fulcrum.

- Scenario: Effort distance (Ed) = Load distance (Ld): In this case, the lever does not give any mechanical advantage or disadvantage. The only advantage is a change in the direction of the force.
- Scenario: Load distance (Ld) > Effort distance (Ed): Here, more effort is required to lift the load, but if the distance moved by the effort is greater than the distance moved by the load, it can speed up the rate at which the load is moved.

Second Class Lever: In a second class lever, the load is placed between the fulcrum and the effort. These levers always have the mechanical advantage greater than one since the load distance (Ld) is always less than the effort distance (Ed). They make work easier by reducing the force needed.

Third Class Lever: In a third class lever, the effort is placed between the fulcrum and the load. These levers always have the mechanical advantage less than one since the load distance (Ld) is always greater than the effort distance (Ed). They make work harder, but they can increase the speed and range of motion of the load.

Considering all these types:

Work can be made easier in a first class lever where the load distance (Ld) is greater than the effort distance (Ed) by speeding up the rate of work. This scenario allows for faster movement of the load over a greater distance with less physical effort applied over a shorter distance.

Thus, the correct answer is:
iv. first class lever having [tex]\(Ld > Ed\)[/tex]