A crate is released on a frictionless plank inclined at angle q with
respect to the horizontal. Which of the following relationships is true?
(Assume that the x-axis is parallel to the surface of the incline.)
a. Fy = Fg
c. Fy = Fx
b. Fx = 0
d. none of the above

Respuesta :

None of the given options is correct based on the relationship for the components of the crate's weight.

The given parameter:

  • Angle of inclination, = q

The vertical component of the force on the crate is calculated as follows;

[tex]F_y = W \times cos(q)\\\\F_y = F_gcos(q)[/tex]

The horizontal component of the crate is calculated as follows;

[tex]F_x = F_g \times sin(q)\\\\F_x = F_g sin(q)[/tex]

Thus, we can conclude that none of the given options is correct based on the relationship for the components of the crate's weight.

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