A projectile of mass $3\,m$ explodes at highest point of its path. It breaks into three equal parts. One part retraces its path, the second one comes to rest. The distance of the third part from the point of projection when it finally lands on the ground is ........$m.$ (The range of the projectile was $100\,\,m$ if no explosion would have taken place)
$100$
$150$
$250$
$300$
Obtain the position of centre of mass of a thin rod of uniform density.
What are the position of centre of mass of symmetrical and homogeneous bodies?
When does a body (system) have different centre of gravity and centre of mass ?
$A$ 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 towards the shore and then halts. The boat weight $200\, kg$. ........ $m$ far is he from the shore at the end of this time.
Center of mass of a system of three particles of masses $1, 2, 3\, kg$ is at the point $(1\, m, 2\, m, 3\, m)$ and center of mass of another group of two particles of masses $2 \,kg$ and $3\, kg$ is at point $(-1 \,m, 3\, m, -2\, m)$ . Where a $5\, kg$ particle should be placed, so that center of mass of the system of all these six particles shifts to center of mass of the first system?