Question

(20%) Problem 4: You have been hired to design a design will feature a uniform board (ass M9kg see-saw. Your decided that each rider will be positioned so that his her center of mass will be a distance 13 cm from the end of the board when seated as shown. You have selected a chald of mass m 23 kg (shown on the right), and an adult of mass m 85 kg (showm on the left) to test out your peototype 94% detailed vie the

Answer 1

Given M = 9 kg L = 2.5 m m_1 = 23 kg m_2 = 85 kg x = 13 cm = 0.13 m d = ? \r\n AB = 2.5/2 - 0.13 = 1.12m = BC Torque due to m_2 g about o = Torque due to m_1 g about O (m_2 g) (1.12 - d) = (m_1 g)(1.12) (85)(g)(1.12 - d) = (23)(g)(1.12) (1.12 - d) = (23)(1.12)/85 = d = 0.82 m Answer