Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the positive x-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive x-axis. With what tension and direction (with respect to the positive x -axis) should the third rope pull so that the object has an acceleration of zero? (Ignore any and all forces other than the ropes). Show your work! T3=? For a=0 Ef=ma=T,t Tz=T3=C Ti+ Tz= T3 T2-8000 7T=40.0N Tay 05 75 T22 2. EFx= T, cos 30+ T2 Cos los 131 COS - (34.6)+(-20.7) S Fx =13.9 N T, Sin 30+ T2 Sin 105° EFy= E 20 + 77.3 Fy = 97.3 N %3D 1 2 T3= V(13-9)"+ (9 7.3)? Tろこ 93.3 N. T3: -1 ( Efy 81:90 9= tan

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the
positive x-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive x-axis.
With what tension and direction (with respect to the positive x -axis) should the third rope pull so that the
object has an acceleration of zero? (Ignore any and all forces other than the ropes). Show your work!
T3=?
For a=0
Ef=ma=T,t Tz=T3=C
Ti+ Tz= T3
T2-8000
7T=40.0N
Tay
05
75
T22
2.
EFx= T, cos 30+ T2
Cos los
131
COS
-
(34.6)+(-20.7)
S Fx =13.9 N
T, Sin 30+ T2 Sin 105°
EFy=
E 20 + 77.3
Fy = 97.3 N
%3D
1 2
T3= V(13-9)"+ (9 7.3)?
Tろこ 93.3 N.
T3:
-1 (
Efy
81:90
9= tan
Transcribed Image Text:Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the positive x-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive x-axis. With what tension and direction (with respect to the positive x -axis) should the third rope pull so that the object has an acceleration of zero? (Ignore any and all forces other than the ropes). Show your work! T3=? For a=0 Ef=ma=T,t Tz=T3=C Ti+ Tz= T3 T2-8000 7T=40.0N Tay 05 75 T22 2. EFx= T, cos 30+ T2 Cos los 131 COS - (34.6)+(-20.7) S Fx =13.9 N T, Sin 30+ T2 Sin 105° EFy= E 20 + 77.3 Fy = 97.3 N %3D 1 2 T3= V(13-9)"+ (9 7.3)? Tろこ 93.3 N. T3: -1 ( Efy 81:90 9= tan
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