An object is subjected to a force in the north-east direction. To balance this force, a second force should be applied in the direction

For given systen ${\theta _1}$ ....... $^o$ 

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 ........ $^o$

A mass of $10\,kg$ is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point, the rope deviated at an angle of $45^o$ at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is ..........  $N$ $(g = 10\,ms^{-2})$ 

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 $g =10\,m / s ^2$ )

Define $SI$ unit of force $N$. Define $CGS$ unit of force dyne.