Question

For the forces $F_1$ and $F_2$ act on the bracket as shown in the figure. Determine the magnitude of the resultant of the two forces and its direction. $F_1 = 100$ N $C$ $30^circ$ $20^circ$ $F_2 = 80$ N

          For the forces $F_1$ and $F_2$ act on the bracket as shown in the figure. Determine the magnitude of the resultant of the two forces and its direction.
$F_1 = 100$ N
$C$
$30^circ$
$20^circ$
$F_2 = 80$ N

Added by Josefa C.

Physics for IIT - JEE 2012-13 mechanics I

B.M. Sharma 2011 Edition

Chapter 2

Instant Answer

Solved by Expert Nishant Kumar

03/16/2023

Step 1

For $ F_1 = 100 \, \text{N} $ at $ \theta = 30^\circ $: \[ F_{1x} = F_1 \cos(30^\circ) = 100 \cos(30^\circ) = 100 \times \frac{\sqrt{3}}{2} = 50\sqrt{3} \, \text{N} \] \[ F_{1y} = F_1 \sin(30^\circ) = 100 \sin(30^\circ) = 100 \times \frac{1}{2} = 50 \, Show more…

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Forces F1 and F2 act on the bracket as shown in the figure. Determine the magnitude of the resultant of the two forces and its direction. F1 = 100N 30° F2 = 80N