Figure shows two cylindrical rods whose center of mass is marked as $A$ and $B$ . Line $AB$ divides the region in two parts one containing point $O$ (region $1$ ) and other containing point $O'$ (region $2$ ). Choose the correct option regarding the center of mass of the combined system.
The center of mass of the system lies in region $1$
The center of mass of the system lies in region $2$
The center of mass of the system lies on line $AB$
The center of mass of the system may lie in region $1$ or region $2$ depending on the mas of the rods
From a uniform disk of radius $R$, a circular hole of radius $R/2$ is cut out. The centre of the hole is at $R/2$ from the centre of the original disc. Locate the centre of gravity of the resulting flat body.
On a horizontal frictionless frozen lake, a girl $36 \,kg$ and a box $9 \,kg$ are connected to each other by means of a rope. Initially, they are $20 \,m$ apart. The girl exerts a horizontal force on the box, pulling it towards her. How far has the girl travelled when she meets the box?
A stick has its bottom end attached to a wall by a pivot and is held up by a massless string attached to its other end. Which of the following scenarios has the smallest tension in the string ? (Length of stick is same in all scenarios)
The $x, y$ coordinates of the centre of mass of a uniform $L-$ shaped lamina of mass $3\, kg$ is
Define the position vector of centre of mass.