Question

A wooden plank of mass 20 kg is resting on a
smooth horizontal floor. Aman of mass 60 kg starts
moving from one end of the plank to the other
end. The length of the plank is 10 m. Find the
displacement of the plank over the floor when the
man reaches the other end of the plank.
10 m

Answer 1

Answer:

the displacement of center of mass of the plank will be 7.5 m

Explanation:

As we know that there is no external force on the system of man + plank

so the center of mass of the system will always remain at rest if the initial speed of the system is zero

so we can say that if man moves from one end to other end of the plank then the plank will shift other side by some distance "x"

now we will have

$M_1 \Delta s_1 = M_2 \Delta s_2$

$60(10 - x) = 20 x$

$600 = 80 x$

$x = \frac{60}{8}$

$x = 7.5 m$

#Learn

Topic : Motion of Center of mass

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