A system of forces acting on a body resting on an inclined plane is as

1.	A system of forces acting on a body resting on an inclined plane is as shown in Fig. Determine the resultant force if θ = 60° and if W = 1000 N; N = 500 N; F = 100 N; and T = 1200 N.
Answer» In this problem, note that selecting X and Y axes parallel to the plane and perpendicular to the plane is convenient. R_x = ΣF_x= T – F – W sin θ = 1200 – 100 – 1000 sin 60° = 233.97 N R_y = ΣF_y = N – W cos 60° = 500 – 1000 cos 60° = 0. ∴ Resultant is force of 233.97 N directed up the plane.

A system of forces acting on a body resting on an inclined plane is as shown in Fig. Determine the resultant force if θ = 60° and if W = 1000 N; N = 500 N; F = 100 N; and T = 1200 N.

Answer»

In this problem, note that selecting X and Y axes parallel to the plane and perpendicular to the plane is convenient.

R_x = ΣF_x= T – F – W sin θ

= 1200 – 100 – 1000 sin 60° = 233.97 N

R_y = ΣF_y = N – W cos 60° = 500 – 1000 cos 60° = 0.

∴ Resultant is force of 233.97 N directed up the plane.

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A system of forces acting on a body resting on an inclined plane is as shown in Fig. Determine the resultant force if θ = 60° and if W = 1000 N; N = 500 N; F = 100 N; and T = 1200 N.

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