## Related questions with answers

Find the required horizontal and vertical components of the given vectors.

A car is being unloaded from a ship. It is supported by a cable from a crane and guided into position by a horizontal rope. If the tension in the cable is $2790 \mathrm{lb}$ and the cable makes an angle of $3.5^{\circ}$ with the vertical, what are the weight $W$ of the car and the tension $T$ in the rope? (The weight of the cable is negligible to that of the car.)

Solution

VerifiedThe resultant of the forces must be 0 in order for the car to maintain suspended. Hence, the $\textbf{V}$ is equal to the vertical component of the cable in magnitude and the tension in the horizontal rope is equal to the horizontal component of the cable in magnitude.

Let $\textbf{V}$ be the vector representing the velocity of the nuclear submarine. Draw a diagram for the given and label its components as shown:

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