Question
Asked Nov 24, 2019
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You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M = 7 kg, length L = 7 m) that can be moved so that the pivot is a distance d from the center of the board. This will allow riders to achieve static equilibrium even if they are of different mass, as most people are. You have decided that each rider will be positioned so that his/her center of mass will be a distance xoffset = 11 cm from the end of the board when seated as shown.

You have selected a child of mass m = 29 kg (shown on the right), and an adult of mass n =3 times the mass of the child (shown on the left) to test out your prototype.

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offset
Xoffset
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. offset Xoffset

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Expert Answer

Step 1

Given,

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M 7 Kg Length,L 7 m 11 cm 0.11 m Xofset Offet Mass of child,m = 29 Kg n 3 Mass of left side man,m' = nxm m' =3x29 = 87 Kg

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Step 2

The different weights acting on the see-saw has been shown below where ‘g’ is the acceleration due to gravity.

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X offset STо- 29g o+ft

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Step 3

Distance of pivot points from the end of...

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L 7 = 3.5 m 2 Weight of see-saw acting at,x' 2 x 3.5-d-0.11 x 3.39-d y 3.5+d-0.11 y 3.39+d

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