Studee S
17 Juli 2024 00:38
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Studee S
17 Juli 2024 00:38
Pertanyaan
Two dogs pull on ropes attached to a post. Dog A exerts a force of 270 N horizontally and dog B exerts a force of 300 N. If the angle between the ropes is 60 deg find the magnitude of the resultant force and the angle it makes with Rover's rope.
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Salsabila M
Community
18 Juli 2024 07:16
To find the magnitude of the resultant force and the angle it makes with Dog A's rope, we can use vector addition. Here's the step-by-step solution:
Given:
Step 1: Calculate the components of the forces
Assume Dog A's force is along the x-axis, and Dog B's force makes an angle of θ\thetaθ with Dog A's force.
The components of Dog A's force: FAx=FA=270 NF_{Ax} = F_A = 270 \text{ N}FAx=FA=270 N FAy=0 NF_{Ay} = 0 \text{ N}FAy=0 N
The components of Dog B's force: FBx=FBcosθ=300cos60∘=300×0.5=150 NF_{Bx} = F_B \cos \theta = 300 \cos 60^\circ = 300 \times 0.5 = 150 \text{ N}FBx=FBcosθ=300cos60∘=300×0.5=150 N
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