Question

Dinesh wants to launch a package over the garden wall to his friend on the other side. His plan is to set up a see-saw, put the package on one end and jump on the other end. Dinesh determines that he will land on the board with a force of 1,127 newtons, and the package weighs 322 newtons. The board he is going to use for the see-saw is 9 meters long. How close to the end of the board should Dinesh put the fulcrum?

Answer 1

Dinesh should put the fulcrum 2 m from himself and 7 m from the package.

Step-by-step explanation:

Let the fulcrum be x meters from Dinesh's end.

The sum of clockwise moment must balance the sum of anti-clockwise moment.

Taking a moment about the fulcrum

(Force exerted by Dinesh) × (Distance of Dinesh from the fulcrum) = (Weight of the package) × (Distance of the package from the fulcrum)

Force exerted by Dinesh = 1127 N

Distance of Dinesh from the fulcrum = x m

Weight of the package = 322 N

Distance of the package from the fulcrum = (9 - x) m

1127 × x = 322 (9 - x)

1127x = 2,898 - 322x

1127x + 322x = 2,898

1449x = 2898

x = (2898/1449) = 2 m

Hence, Dinesh should put the fulcrum 2 m from himself and 7 m from the package.

Hope this Helps!!!