A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 430 N. The ropes, fastened at different heights, make angles of 50° and 38° with the horizontal. Find the tension in each rope and the magnitude of each tension (in N). (Let T, and T3, represent the tension vectors corresponding to the ropes of length 2 m and 3 m respectively. Round all numerical values to two decimal places.) 38° 50 3 m 2 m

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 430 N. The ropes, fastened at different heights, make angles of 50° and 38° with the
horizontal. Find the tension in each rope and the magnitude of each tension (in N). (Let T, and T3, represent the tension vectors corresponding to the ropes of length 2 m and 3 m respectively. Round all
numerical values to two decimal places.)
38°
50°
3 m
2 m
T2
X N
|T2l
X N
T3
X N
=
|T3| =
X N
Transcribed Image Text:A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoist weighs 430 N. The ropes, fastened at different heights, make angles of 50° and 38° with the horizontal. Find the tension in each rope and the magnitude of each tension (in N). (Let T, and T3, represent the tension vectors corresponding to the ropes of length 2 m and 3 m respectively. Round all numerical values to two decimal places.) 38° 50° 3 m 2 m T2 X N |T2l X N T3 X N = |T3| = X N
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