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Chapter 4: Problem 69

A sailboat is tied to a mooring with a horizontal line. The wind is from the southwest. Draw an FBD and identify all the forces acting on the sailboat.

Short Answer

Expert verified
Answer: The four forces acting on the sailboat are the force due to the wind (F_W), the force due to the tension from the mooring line (F_T), the gravitational force (F_G), and the buoyancy force (F_B).

Step by step solution

01

Draw the sailboat and the mooring

Draw a simple diagram of the sailboat in the water, with a horizontal line connecting it to the mooring. Provide labels for the mooring, the horizontal line, and the sailboat.
02

Draw the FBD

To draw the FBD, start by drawing a dot to represent the sailboat. Next, draw arrows originating from the dot to represent all the forces acting on the sailboat.
03

Identify the force due to the wind

Draw an arrow coming from the southwest direction (diagonal from lower left to upper right), representing the wind force acting on the sailboat. Label this arrow as \(F_W\) for force of the wind.
04

Identify the force due to the mooring line

The horizontal line creates a tension force on the sailboat. Draw an arrow pointing horizontally in the direction towards the mooring point. Label this arrow as \(F_T\) for force of tension from the mooring line.
05

Identify the gravitational force and buoyancy force

There are two more forces acting on the sailboat which are the gravitational force and the buoyancy force: 1. Gravitational force: Draw an arrow pointing downward to represent the force of gravity acting on the sailboat. Label this arrow as \(F_G\). 2. Buoyancy force: Draw an arrow pointing upward that is equal in magnitude but opposite in direction to the gravitational force, this represents the buoyancy force. Label it as \(F_B\).
06

Combine all forces in the FBD

Now that you have identified and drawn all of the forces acting on the sailboat, your final FBD should show four distinct force arrows: \(F_W\), \(F_T\), \(F_G\), and \(F_B\). Ensure that the FBD clearly shows each force acting on the sailboat. With this FBD, you have successfully identified all the forces acting on the sailboat, as per the given exercise.

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Most popular questions from this chapter

The forces on a small airplane (mass \(1160 \mathrm{kg}\) ) in horizontal flight heading eastward are as follows: gravity \(=16.000 \mathrm{kN}\) downward, lift \(=16.000 \mathrm{kN}\) upward, thrust \(=1.800 \mathrm{kN}\) eastward, and \(\mathrm{drag}=1.400 \mathrm{kN}\) westward. At \(t=0,\) the plane's speed is \(60.0 \mathrm{m} / \mathrm{s} .\) If the forces remain constant, how far does the plane travel in the next \(60.0 \mathrm{s} ?\)
A barge is hauled along a straight-line section of canal by two horses harnessed to tow ropes and walking along the tow paths on either side of the canal. Each horse pulls with a force of \(560 \mathrm{N}\) at an angle of \(15^{\circ}\) with the centerline of the canal. Find the sum of the two forces exerted by the horses on the barge.
An \(80.0-\mathrm{N}\) crate of apples sits at rest on a ramp that runs from the ground to the bed of a truck. The ramp is inclined at \(20.0^{\circ}\) to the ground. (a) What is the normal force exerted on the crate by the ramp? (b) The interaction partner of this normal force has what magnitude and direction? It is exerted by what object on what object? Is it a contact or a long-range force? (c) What is the static frictional force exerted on the crate by the ramp? (d) What is the minimum possible value of the coefficient of static friction? (e) The normal and frictional forces are perpendicular components of the contact force exerted on the crate by the ramp. Find the magnitude and direction of the contact force.
A bike is hanging from a hook in a garage. Consider the following forces: (a) the force of the Earth pulling down on the bike, (b) the force of the bike pulling up on the Earth, (c) the force of the hook pulling up on the bike, and (d) the force of the hook pulling down on the ceiling. Which two forces are equal and opposite because of Newton's third law? Which two forces are equal and opposite because of Newton's first law?
A car is driving on a straight, level road at constant speed. Draw an FBD for the car, showing the significant forces that act upon it.
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