The tensions in cables
Answer to Problem 2.96P
The tensions in cables
Explanation of Solution
Write the equation to find the magnitude of the
Write the equation to find the unit vector along
Write the equation of
Here,
Write the equation to find the magnitude of the vector
Write the equation to find the unit vector along
Write the equation of
Here,
Write the equation to find the magnitude of the vector
Write the equation to find the unit vector along
Write the equation of
Here,
Write the equation to find the resultant of the forces exerted by the three cables at
Conclusion:
Refer Fig.P2.89 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Refer Fig.P2.89 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Refer Fig.P2.89 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Substitute
Substitute
Multiply the equation (XI) by
Multiply the equation (XI1) by
Add the equations (XIII) and (IX).
Substitute
Therefore, the tensions in cables
Want to see more full solutions like this?
Chapter 2 Solutions
Loose Leaf for Vector Mechanics for Engineers: Statics and Dynamics
- The cable stays AB and AD help support pole AC. Knowing that the tension is 120 lb in AB and 40 lb in AD, determine by trigonometry the magnitude and direction of the resultant of the forces exerted by the stays at A.arrow_forwardQ4. Determine the magnitude and direction of the resultant of the forces exerted by the cables at B knowing that the tension is 540N in cable BG and 750N in cable BH. 1.48 m 0.56 m G 0.8 m. B 0 0.8 m 1.4 m C H D 1.2 m 1.2 marrow_forwardKnowing that the tension in rope AC is 365 N, determine the resultant of the three forces exerted at point C of post BC.arrow_forward
- 3.1 Determine the resultant force acting on the hook.arrow_forwardKnowing that the tension is 425 lb in cable AB and 510 lb in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables.arrow_forwardQ3) Determine the maximum weight of block A for which the maximum tension in cable CD does not exceed 160 N B 60 13 Determine the resultant of the coplanar force system shown in (FIG. Q1) and locate it with respect to point A? 360 N 500 N 220 Narrow_forward
- 2.13 Three ropes support the weight at A. The tension in ropes AB and AC is 15 lb. Determine the tension Tin the third rope, knowing that the resultant of the three tensions is vertical.arrow_forward1.6.11 If the axial force in the tie rod DE is P = 1000 N, determine the two nonrectangular components of the force P, one having a line of action along AB and the other parallel to AC. See Fig. 1.6.4. 12 Fig. 1.6.4 B.arrow_forwardThe 3200-1b weight is supported by two cables. Knowing that the resultant of the cable tensions T1 and T2 is a vertical 3200-lb force, determine T1 and T2.arrow_forward
- The man exerts a force P of magnitude 150N on the handle of the wheelbarrow. Knowing that the resultant of the force P, Q, and W (wt of the wheelbarrow) is zero, determine W.arrow_forwardBefore the trunk of a large tree is felled, cables AB and BC are attached as shown. Knowing that the tensions in cables AB and BC are 555 N and 660 N, respectively; determine die moment about O of the resultant force exerted on the tree by the cables at B.arrow_forwardThree cables are connected at A, where the force P is applied as shown. Determine the tension each cable.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L