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,+T2-T3=0 T-40.0N Ti+Tz= T3 7ax 3) +( 93- los Efx= T cos 30+ Tz Cos - (34.6)+(-20.7) E Fx = 13.9 N %3D EFy: T, Sin 30+ T, Sin 105" 20 + 77.3 E Fy = 97.3 N T3= (13-9)+ (97.3)? T3=93.3 N. 81:9° 9= tam- EFy =
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,+T2-T3=0 T-40.0N Ti+Tz= T3 7ax 3) +( 93- los Efx= T cos 30+ Tz Cos - (34.6)+(-20.7) E Fx = 13.9 N %3D EFy: T, Sin 30+ T, Sin 105" 20 + 77.3 E Fy = 97.3 N T3= (13-9)+ (97.3)? T3=93.3 N. 81:9° 9= tam- EFy =
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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,+T2-T3=0
T-40.0N
Ti+Tz= T3
7ax
3) +( 93-
los
Efx= T cos 30+
Tz
Cos
- (34.6)+(-20.7)
E Fx = 13.9 N
%3D
EFy: T, Sin 30+ T, Sin 105"
20 + 77.3
E Fy = 97.3 N
T3= (13-9)+ (97.3)?
T3=93.3 N.
81:9°
9= tam- EFy =
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