Hub 4 Mech
Problem SetForce Vectors Problem Set160 force vector problems with step-by-step solutions, from the parallelogram law to the dot product: 6 warm-ups, 10 workouts and 4 challenges on each topic.
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Cart on a Rail

ID: pjf75qfh2x

Problem: A rope pulls a cart with \(\mathbf{F} = \{120\,\mathbf{i} + 40\,\mathbf{j} + 90\,\mathbf{k}\}\,\text{N}\). The cart can only move along a rail in the direction \(\mathbf{u} = 0.8\,\mathbf{i} + 0.6\,\mathbf{j}\). Find the component of the pull along the rail and the angle between the rope and the rail.

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2 Answer Field(s)
3/3 Attempts
#1
F_\parallel
\text{N}
#2
\theta
^{\circ}
Scientific notation supported (e.g. 2e4, 2e-4)

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