Answer:
Explanation:
Spilling the force of 60N on the rope at an angle θ in x-y direction:
fx = Fcosθ = 60cosθ
fy = Fsinθ = 60sinθ
cosθ and sinθ both vary from 0 to 1 between 0° to 90° but they go in opposite direction:
cos0° = 1 and cos90° = 0
sin0° = 0 and sin90° = 1
sin45° = cos45° = 0.7071
When θ increases from 0° to 90°,
θ=0°, fx = 60cos0° = 60N, fy = 60sin0° = 0N
θ=90°, fx = 60cos90° = 0N, fy = 60sin90° = 60N
θ=45°, fx = 60cos45° = fy = 60sin45° = 42.43N