A small ring at the origin is pulled by two horizontal forces: directed at above the…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A small ring at the origin is pulled by two horizontal forces:

\vec T_1=40\,\text{N}

directed at

30^{\circ}

above the positive x–axis, and

\vec T_2=60\,\text{N}

directed at

150^{\circ}

from the positive x–axis (counter-clockwise). Which of the following pairs

(T_3,\theta_3)

gives the magnitude

T_3

and direction

\theta_3

(measured from the positive x–axis) of a third horizontal force

\vec T_3

that will keep the ring in equilibrium? (a)

53\,\text{N},\;70^{\circ}

(b)

62\,\text{N},\;250^{\circ}

(c)

53\,\text{N},\;289^{\circ}

(d)

53\,\text{N},\;110^{\circ}