For the given uniform square lamina $ABCD$ whose centre is $O$ , pick incorrect statement
If part $OCD$ is removed, $COM$ will shift towards $E$ , on line $OE$
If part $FHDC$ is removed, $COM$ will shift towards $E$ , on line $OE$
If part $HOG$ is removed, $COM$ will shift towards $B$ , on line $OB$
If part $EGDA$ is removed, $COM$ will shift towards $B$ , on line $OB$
The disc of mass $M$ with uniform surface mass density $\sigma$ is shown in the figure. The centre of mass of the quarter disc (the shaded area) is at the position $\frac{x}{3} \frac{a}{\pi}, \frac{x}{3} \frac{a}{\pi}$ where $x$ is ....... .
(Round off to the Nearest Integer) $[ a$ is an area as shown in the figure $]$
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?
Particles of masses $m, 2m, 3m,......nm$ $grams$ are placed on the same line at distances $l, 2l, 3l,....nl\, cm$ from a fixed point. The distance of centre of mass of the particles from the fixed point in centimetres is
A rod of length $3\, m$ and its mass per unit length is directly proportional to the distance $x$ from its one end. The center of gravity of the rod from that end will be at ........ $ m$
In the figure shown find out the distance of centre of mass of a system of a uniform circular plate of radius $3R$ from $O$ in which a hole of radius $R$ is cut whose centre is at $2R$ distance from centre of large circular plate