Center of MassHardBloom L3
Question
Three-man A, B & C of mass 40 kg, 50 kg & 60 kg are standing on a plank of mass 90 kg, which is kept on a smooth horizontal plane. If A & C exchange their positions then mass B will shift
Options
A.1/3 m towards left
B.1/3m towards right
C.will not move w.r.t. ground
D.5/3 m towards left
Solution
Sol. $\because$ Fext = 0 [In horizontal]
$\because$ Ucm = 0
⇒ Scm = 0
⇒ m1s1 + m2s2 + m3s3 + m4s4= 0
Splank = x SB = x
SA= x + 4 SC = x – 4
90(x) + 40 (x + 4) + 50(x) + 60 (x – 4) = 0
24x + 16 – 24 = 0
x = $\frac{8}{24} = \frac{1}{3}$
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