# Numerical Problems on Lever’s mechanical advantage & velocity ratio

Here you will find Numerical Problems on Lever’s mechanical advantage & velocity ratio. Try to solve and if required refer to the solutions given. We will continuously add newer problems.

## Numerical Problems on Lever’s mechanical advantage & velocity ratio

1 ) Calculate the mechanical advantage of a class 2 lever such that the length of the rod is 2 meter and load is placed at 1/3 rd distance from the fulcrum.

Solution:
Class II lever
: Fulcrum and Effort are at the 2 ends of the lever rod.

That means Effort Arm = length of the rod = 2 meter.
Load arm = (1/3) distance of lever rod = (1/3) * 2 meter = 2/3 meter

Then, Mechanical Advantage = Effort arm / Load arm = 2/(2/3) = 3

2 ) Calculate the mechanical advantage of a class 3 lever such that the length of the rod is 2 meter and effort is placed at 1/3 distance from the fulcrum.

Solution:
Class III lever: Fulcrum and Load are at the 2 ends of the lever rod.

That means Load Arm = length of the rod = 2 meter.
Effort arm = (1/3) distance of lever rod = (1/3) * 2 meter = 2/3 meter

Then, Mechanical Advantage = Effort arm / Load arm = (2/3)/2 = 1/3

3 ) Calculate the mechanical advantage of a class 1 lever such that the length of the rod is 2 meter and effort is placed at 1/3 distance from the fulcrum.

Solution:
Class I lever: Effort and Load are at the 2 ends of the lever rod. Fulcrum is in between effort and load.

Effort arm = (1/3) distance of lever rod = (1/3) * 2 meter = 2/3 meter
That means Load Arm = length of the rod – effort arm= (2 – 2/3)meter = 4/3 meter
Then, Mechanical Advantage = Effort arm / Load arm = (2/3)/(4/3) = 1/2