Problem 3: You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M=11 kg, length L = 13 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 = 29 cm from the end of the board when seated as shown. You have selected a child of mass m= 27 kg (shown on the right), and an adult of mass n=5 times the mass of the child (shown on the left) to test out your prototype. Xoffset Xofttset Part (a) Determine the distance d in m. Part (b) Determine the magnitude of the force exerted on the pivot point by the see-saw in N.

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Problem 3: You have been hired to design a family-friendly see-saw. Your design will
feature a uniform board (mass M= 11 kg, length L = 13 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 = 29 cm from the end of the board when
seated as shown.
You have selected a child of mass m = 27 kg (shown on the right), and an adult of mass n=5 times
the mass of the child (shown on the left) to test out your prototype.
Xoffset
Xffset
Part (a) Determine the distance d in m.
Part (b) Determine the magnitude of the force exerted on the pivot point by the see-saw in N.
Transcribed Image Text:Problem 3: You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M= 11 kg, length L = 13 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 = 29 cm from the end of the board when seated as shown. You have selected a child of mass m = 27 kg (shown on the right), and an adult of mass n=5 times the mass of the child (shown on the left) to test out your prototype. Xoffset Xffset Part (a) Determine the distance d in m. Part (b) Determine the magnitude of the force exerted on the pivot point by the see-saw in N.
Expert Solution
Step 1

Given:

The mass of the uniform board is M = 11 kg

The length of the uniform board is L = 13 m

The mass of the child is m1 = 27 kg

The mass of the adult is m2 = 5 m1

The position of the center of mass of the child and adult is x = 29 cm

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