Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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3. An object is stuck at the origin. To get the object free, two forces are applied to the object. The first force, F1, extends from the origin to position (-8,2). The second force. F, acts on the object with a magnitude of o Newtons in the direction of 30°. You may assume units of distance are in meters. Represent the two force vectors, F and F, in component form. Leave all answers in exact a. form. = Je8)+ Fa?) = 8. 25 N, Fa = tan"() = 14,04 = 165.96° x Compenent of řFu²(8,25).cas(165.96) =-8Ni <8,2) Lcomeonent o f.P = Pay : (8.a5SN)' SinCI65 A6) =aN} = Fax=(8M).cos(30) =6,93 N. - (8N) •sinl30) = 4e ー>く,4> Draw a sketch of the two force vectors on the graph to the right. с. If these two forces together free the object, in what direction and with what magnitude would the object travel? Round to one decimal place as needed. R =Fg+ F2 -5 R=-8N); + (aN); +(6.93M: +(UM); (-1,07N)¿ +(6N); magnit ude : Direc tion; Ø =tan-Go) -- 79.89° -> (180-7A8) =10011" -The object will travel at an angle of 100.1°on the x axis witha magritude of 6.09N d. Suppose only F, acts on the object and with this force only, the object experiences a displacement vector of < 3,1 >. How much work (measured in joules /) was done on the object by F,?
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Transcribed Image Text:3. An object is stuck at the origin. To get the object free, two forces are applied to the object. The first force, F1, extends from the origin to position (-8,2). The second force. F, acts on the object with a magnitude of o Newtons in the direction of 30°. You may assume units of distance are in meters. Represent the two force vectors, F and F, in component form. Leave all answers in exact a. form. = Je8)+ Fa?) = 8. 25 N, Fa = tan"() = 14,04 = 165.96° x Compenent of řFu²(8,25).cas(165.96) =-8Ni <8,2) Lcomeonent o f.P = Pay : (8.a5SN)' SinCI65 A6) =aN} = Fax=(8M).cos(30) =6,93 N. - (8N) •sinl30) = 4e ー>く,4> Draw a sketch of the two force vectors on the graph to the right. с. If these two forces together free the object, in what direction and with what magnitude would the object travel? Round to one decimal place as needed. R =Fg+ F2 -5 R=-8N); + (aN); +(6.93M: +(UM); (-1,07N)¿ +(6N); magnit ude : Direc tion; Ø =tan-Go) -- 79.89° -> (180-7A8) =10011" -The object will travel at an angle of 100.1°on the x axis witha magritude of 6.09N d. Suppose only F, acts on the object and with this force only, the object experiences a displacement vector of < 3,1 >. How much work (measured in joules /) was done on the object by F,?
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