4. A cable supports a 40 kip and 50 kip load, as shown above. The angle of cable T1, theta,is 51.34 degrees, and the angle of T3 is 45 degrees as shown. To the nearest kip,determine the forces in cable portion T1, T2, and T3 kips. (Hint: Use a free-body diagramat joint T2/T3 to determine the force in T3, and a FBD at joint T1/T2 to determine the forcein T1. Check your work by calculating the force in T2 at each FBD and verify that theforce is the same).T145°T3T2|40 k50 k

Name: 4. A cable supports a 40 kip and 50 kip load, as shown above. The ang
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: 4. A cable supports a 40 kip and 50 kip load, as shown above. The angle of cable T1, theta,is 51.34 degrees, and the angle of T3 is 45 degrees as shown. To the nearest kip,determine the forces in cable portion T1, T2, and T3 kips. (Hint: Use a free-

Mass of the smaller block is m=40 kip Mass of the larger block is M=50 kip Angle made by the cable 1 is θ1=51.34∘ Angle made by the cable 2 is θ2=45∘The free body diagram along the point P is Resolving forces along the vertical, T1cosθ1=40 kipT1×cos51.34=40 kipT1=400.624=64.1 kip Therefore the tension in the cable 1 is 64.1 kip. Resolving forces along horizontal, T1sinθ1=T264.1×sin51.34=T2T2=50.05 kip The free body diagram of the Point Q is Resolving forces along the vertical T3cosθ2=50 kipT3×cos45=50 kipT3=500.707=70.71 kip Therefore, the tension in the cable 3 is 70.71 kip Resolving forces along horizontal, T3sinθ2=T270.71×sin45=50 kipT2=50 kip We can clearly see that tension in cable 2 is nearly equal to same i.e 50 kip.