In case of torque of a couple if the axis is changed by displacing it parallel to itself, torque will 

Let $\overrightarrow{F}$ be the force acting on a particle having position vector $\overrightarrow{r}$ and $\overrightarrow{\tau }$ be the torque of this force about the origin. Then

Four equal and parallel forces are acting on a rod (as shown in the figure) at distances of $20 \mathrm{cm}$, $40 \mathrm{cm}$, $60 \mathrm{cm}$ and $80 \mathrm{cm}$, respectively, from one end of the rod. Under the influence of these forces the rod

A uniform rod of mass $m$ and length $L$ is suspended with two massless strings as shown in the figure. If the rod is at rest in a horizontal position the ratio of tension in the two strings $T_1/T_2$ is

Two persons of equal height are carrying a long uniform wooden beam of length $l$. They are at distance $\frac{l}{4}$ and $\frac{l}{6}$ from the nearest ends of the rod. The ratio of normal reactions at their heads is

$\left(1\right) 2:3$

$\left(2\right) 1:3$

$\left(3\right) 4:3$

$\left(4\right) 1:2$

A $T$ shaped object with dimensions shown in the figure is lying on a smooth floor. A force $\overrightarrow{F}$ is applied at the point $P$ parallel to $AB$, such that the object has only translational motion without rotation. Find the location of $P$ with respect to $C$