Answer:
X Component is 183.85N
Explanation:
The x component of the force on the block due to the rope;
X = F cos @ where if is the force, @ is the angle mad with the block.
X = F cos @
X = 240 cos 40
Cos 40= 0.7660, so
X = 240 × 0.7660
X component= 183.85N// rounded to two decimal places.
Answer:
The x-component of the force on the block due to the rope is 183.8 newtons
Explanation:
See the picture attached.
Because the force F on the block due the rope is applied at an angle of 40 degrees respect the horizontal, it has a component on x (Fx) and a component on y (Fy) we should find the x component. We should use trigonometric relations for right tringle. We need the equation that relates hypotenuse (F) and adjacent side (Fx), this relation is:
[tex]cos 40 =\frac{F_x}{F} [/tex]
solving for Fx:
[tex]F_x = F*cos 40 = 240*cos(40) [/tex]
[tex]F_x = 183.8 N [/tex]
