The man of mass m 1 = 88 kg and the woman of mass m 2 = 62 kg are standing on op

Question

The man of mass m1 = 88 kg and the woman of mass m2 = 62 kg are standing on opposite ends of the platform of mass m0 = 124 kg which moves with negligible friction and is initially at rest with s = 0. The man and woman begin to approach each other. Find the displacement s of the platform when the two meet if the displacement x1 of the man relative to the platform is 7.4 m. The length l of the platform is 12.9 m.
No generic solution find answer in m The man of mass m1 = 88 kg and the woman of mass m2 = 62 kg are standing on opposite ends of the platform of mass m0 = 124 kg which moves with negligible friction and is initially at rest with s = 0. The man and woman begin to approach each other. Find the displacement s of the platform when the two meet if the displacement x1 of the man relative to the platform is 7.4 m. The length l of the platform is 12.9 m.
No generic solution find answer in m Chapter 4, Problem 4.022

Explanation / Answer

let the platform moved by x to the right then

m1r1+m2r2+m3r3 is conserved

so

88*-12.9/2+62*12.9/2+0=88*(x+7.4-12.9/2)+62*(x-(12.9-7.4)+12.9/2)+124x

x=-1.13m

it shifts left by 1.13m

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