HELP ME please!!!!! (9%) Problem 11: You have been hired to design a family-frie

Question

HELP ME please!!!!! (9%) Problem 11: You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M = 14 kg, length L = 12 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 xoffiet 9cm from the end of the board when seated as shown. You have selected a child of mass m = 26 kg (shown on the right), and an adult of mass n4 times the mass of the child (shown on the left) to test out your prototype. Xoffset 50% Part (a) Determine the distance d in m. sinO cos() | tan() |x) (I). | 7| 8| 9 cotan asinacos0 atanO acotan0 sinh0 tanhO cotanh) O Degrees Radians VO Submit Hint I give up Hints: 200% deduction per hint. Hints remaining: 3 Feedback: 20% deduction per feedback. i- 50% Part (b) Determine the magnitude of the force exerted on the pivot point by the see-saw in N. All content 0 2017 Expert TA. LI.C

Explanation / Answer

Here ,

M = 14 Kg

L = 12 m

a) let the distance is d

for balancing the moment of forces about the pivot

(12/2 - d - 0.09) * 4 * 26 * 9.8 - d * 14 * 9.8 - (12/2 - 0.09 + d) * 26 * 9.8 = 0

solving for d

d = 3.2 m

the distance d is 3.2 m

part B)

magnitude of force exerted by pivot= (m + M + 4 * m) * g

magnitude of force exerted by pivot= (26 + 4 * 26 + 14) * 9.8

magnitude of force exerted by pivot= 1411 N

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