5) A) Projectile motion A gun with muzzle velocity of 1200 ft/sec is fired at an angle of 8° above the horizontal. Find the horizontal and vertical components of the velocity. B) Inclined plane Suppose that a box is being towed up an inclined plane as shown in the figure. Find the force w needed to make the component of the force parallel to the inclined plane equal to 2.5 lb. 33° 15°

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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5)
A) Projectile motion A gun with muzzle velocity of 1200 ft/sec
is fired at an angle of 8° above the horizontal. Find the horizontal
and vertical components of the velocity.
B) Inclined plane Suppose that a box is being towed up an
inclined plane as shown in the figure. Find the force w needed to
make the component of the force parallel to the inclined plane
equal to 2.5 lb.
330
15°
6)
A force F = 2i + j - 3k is applied to a spacecraft with velocity
vector v = 3i – j. Express F as a sum of a vector parallel to v
and a vector orthogonal to v.
7)
a) Work along a line Find the work done by a force F = 5i
(magnitude 5 N) in moving an object along the line from the origin
to the point (1, 1) (distance in meters).
b) Locomotive The Union Pacific's Big Boy locomotive could
pull 6000-ton trains with a tractive effort (pull) of 602,148 N
(135,375 Ib). At this level of effort, about how much work did
Big Boy do on the (approximately straight) 605-km journey from
San Francisco to Los Angeles?
c) Inclined plane How much work does it take to slide a crate 20 m
along a loading dock by pulling on it with a 200-N force at an
angle of 30° from the horizontal?
d) Sailboat The wind passing over a boat's sail exerted a 1000-Ib
magnitude force F as shown here. How much work did the wind
perform in moving the boat forward1 mi? Answer in foot-pounds.
60°
1000 lb
magnitude
force
Transcribed Image Text:5) A) Projectile motion A gun with muzzle velocity of 1200 ft/sec is fired at an angle of 8° above the horizontal. Find the horizontal and vertical components of the velocity. B) Inclined plane Suppose that a box is being towed up an inclined plane as shown in the figure. Find the force w needed to make the component of the force parallel to the inclined plane equal to 2.5 lb. 330 15° 6) A force F = 2i + j - 3k is applied to a spacecraft with velocity vector v = 3i – j. Express F as a sum of a vector parallel to v and a vector orthogonal to v. 7) a) Work along a line Find the work done by a force F = 5i (magnitude 5 N) in moving an object along the line from the origin to the point (1, 1) (distance in meters). b) Locomotive The Union Pacific's Big Boy locomotive could pull 6000-ton trains with a tractive effort (pull) of 602,148 N (135,375 Ib). At this level of effort, about how much work did Big Boy do on the (approximately straight) 605-km journey from San Francisco to Los Angeles? c) Inclined plane How much work does it take to slide a crate 20 m along a loading dock by pulling on it with a 200-N force at an angle of 30° from the horizontal? d) Sailboat The wind passing over a boat's sail exerted a 1000-Ib magnitude force F as shown here. How much work did the wind perform in moving the boat forward1 mi? Answer in foot-pounds. 60° 1000 lb magnitude force
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