Mathematics: Aman is dragging a trunk up the loading ramp of mover s truck. the ramp has a slope angle of 20 degree, and the man pulls upward with a force f whose direction makes an angle of 30 degree with ramp. a) how large a force f is a necessary or the component f, parallel to the ramp to be 60n? b) how large will the component f, then be?

The answer is B, because the 1/3....

Aman is dragging a trunk up the loading ramp of mover

teamzomaxx8210

17.01.2022

a.69.3 N

b.34.7 N

Step-by-step explanation:

We are given that

Angle of inclination of the ramp= $20^{\circ}$

Force F makes an angle with ramp= $30^{\circ}$

The component of F parallel to the ramp = 60 N

a.We have to find the value of when its horizontal component is 60 N.

We know that

$F_x=F cos 30^{\circ}$

$F=\frac{F_x}{cos 30^{\circ}}$

$F=\frac{60}{\frac{\sqrt3}{2}}$

$F=40\sqrt3=69.3N$

b.We have to find F_y perpendicular to the ramp.

$F_y=Fsin 30^{\circ}$

$F_y=69.3\times \frac{1}{2}=34.7 N$

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