Center of MassHardBloom L3
Question
Eight solid uniform cubes of edge l are stacked together to form a single cube with center O. One cube is removed from this system. Distance of the center of mass of remaining 7 cubes from O is
Options
A.$\frac{7\sqrt{3}l}{16}$
B.$\frac{\sqrt{3}l}{16}$
C.$\frac{\sqrt{3}l}{14}$
D.zero
Solution
Sol. Com of entire system, when single block is placed at its previous place is at 0.
m1r1 = m2r2
7 mr1 = $m\left( \frac{\sqrt{3}\mathcal{l}}{2} \right)$
r1 = $\frac{\sqrt{3}\mathcal{l}}{14}$
Create a free account to view solution
View Solution FreeMore Center of Mass Questions
A man weighing 80 kg is standing at the centre of a flat boat and he is 20 m from the shore. He walks 8 m on the boat to...Two bulbs B1 & B2 each having resistance 50Ω are connected according to the figure. Which bulb will glow with more ...A block of mass m moving with a velocity v0 collides with a stationary block of mass M at the back of which a spring of ...Two particles A and B each of mass m are attached by a light inextensible string of length 2l. The whole system lies on ...Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation...