$A$ body is at rest under the action of three forces,two of which are $\vec F_1 = 4\hat i$ and $\vec F_2 = 6\hat j$. The third force is:

There are three forces $\vec{F_1}$,$\vec{F_2}$,and $\vec{F_3}$ acting on a body,all acting on a point $P$ on the body. The body is found to move with uniform speed.
$(a)$ Show that the forces are coplanar.
$(b)$ Show that the torque acting on the body about any point due to these three forces is zero.

$A$ stone of mass $0.05 \,kg$ is thrown vertically upwards. What is the direction and magnitude of the net force on the stone during its upward motion?

In the figure, the tension in the horizontal cord is $30\,N$. Find the weight of the body $B$.

$A$ metal sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The forces acting on the sphere are shown in the second diagram. Which of the following statements is wrong?

Block $A$ of mass $4 \; kg$ is to be kept at rest against a smooth vertical wall by applying a force $F$ as shown in the figure. The force required is .......... $N$ $\left(g = 10 \; m/s^2\right)$. (in $\sqrt{2}$)