A boy is hanging from branch of a tree as shown. Angle between his arm, for tension to be maximum in arms must be ............ $^o$

See Figure given below.  A mass of $6 \;kg$ is suspended by a rope of length $2 \;m$ from the ceiling. A force of $50\; N$ in the horizontal direction is applied at the midpoint $P$ of the rope, as shown. What is the angle the rope makes with the vertical in equilibrium ? (Take $g = 10 \;m s^{-2}$). Neglect the mass of the rope.

A mass of $5\, kg$ is suspended by a rope of length $2\,m$ from a ceiling. A force of $50\,N$ in the horizontal direction is applied at the mid-point of the rope. The angle made by the rope with the vertical, in equilibrium is ........ $^o$

Inside a horizontally moving box, an experimenter finds that when an object is placed on a smooth horizontal table and is released, it moves with an acceleration of $10\,m / s ^2$. In this box if $1\,kg$ body is suspended with a light string, the tension in the string in equilibrium position (w.r.t. experimenter) will be$.........\,N$ (Take $g =10\,m / s ^2$ )

A rope of length $L$ is pulled by a constant force $F$. What is the tension in the rope at a distance $x$ from the end where the force is applied

Write condition of equilibrium when three force act on a particle.