2 A woman pushes a lawn mower with a force of 80 N. If the handle of the lawn mower is 40° above the horizontal, how much downward force is being exerted on the ground? 2.9. An airplane is heading northeast at a velocity of 550 km/h. What is the northward component of its velocity? The

Structural Analysis
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Chapter2: Loads On Structures
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A woman pushes a lawn mower with a force of 80 N. If the handle of the lawn mower is 40° above the horizontal,
how much downward force is being exerted on the ground?
2.9. An airplane is heading northeast at a velocity of 550 km/h. What is the northward component of its velocity? The
eastward component?
2.10 A boat heads northwest at 20 km/h in a river that flows east at 6 km/h. What are the magnitude and direction of the
boat's velocity relative to the earth's surface?
2.11. An airplane whose velocity is 120 km/h has just taken off from a runway. A car driving at 100 km/h on the runway is
able to remain just below the airplane. At what angle is the airplane climbing?
2.12. A boat moving at 36 km/h is crossing a river in which the current is flowing at 12 km/h. In what direction should the
boat head if it is to reach a point on the other side of the river directly opposite its starting point?
2.13. An airplane flies 400 km west from city A to city B, then 300 km northwest to city C, and finally 100 km north to
city D. How far it is from city A to city D? In what direction must the airplane head to return directly to city A from
city D?
2.14. Find the magnitude and direction of the resultant of a 5-N force that acts at an angle of 37° clockwise from the +x
axis, a 3-N force that acts at an angle of 180° clockwise from the +x axis, and a 7-N force that acts at an angle of
225° clockwise from the +x axis.
2.1
Find the magnitude and direction of the resultant of a 60-N force that acts at an angle of 45° clockwise from the +y
axis, a 20-N force that acts at an angle of 90° clockwise from the +y axis, and a 40-N force that acts at an angle of
300° clockwise from the +y axis.
Transcribed Image Text:A woman pushes a lawn mower with a force of 80 N. If the handle of the lawn mower is 40° above the horizontal, how much downward force is being exerted on the ground? 2.9. An airplane is heading northeast at a velocity of 550 km/h. What is the northward component of its velocity? The eastward component? 2.10 A boat heads northwest at 20 km/h in a river that flows east at 6 km/h. What are the magnitude and direction of the boat's velocity relative to the earth's surface? 2.11. An airplane whose velocity is 120 km/h has just taken off from a runway. A car driving at 100 km/h on the runway is able to remain just below the airplane. At what angle is the airplane climbing? 2.12. A boat moving at 36 km/h is crossing a river in which the current is flowing at 12 km/h. In what direction should the boat head if it is to reach a point on the other side of the river directly opposite its starting point? 2.13. An airplane flies 400 km west from city A to city B, then 300 km northwest to city C, and finally 100 km north to city D. How far it is from city A to city D? In what direction must the airplane head to return directly to city A from city D? 2.14. Find the magnitude and direction of the resultant of a 5-N force that acts at an angle of 37° clockwise from the +x axis, a 3-N force that acts at an angle of 180° clockwise from the +x axis, and a 7-N force that acts at an angle of 225° clockwise from the +x axis. 2.1 Find the magnitude and direction of the resultant of a 60-N force that acts at an angle of 45° clockwise from the +y axis, a 20-N force that acts at an angle of 90° clockwise from the +y axis, and a 40-N force that acts at an angle of 300° clockwise from the +y axis.
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