Two bodies in contact apply forces Fi bt and F2 == 2bt, considering very small angles, where the tendons maintain a certain tension T, and where b is a constant. Determine at what instant the tendon suffers fracture. m2 01 02 m1 F₁

Draw the FBD and set up the equations to solve the problem. Compute the tensile force in each cord. В A 105° 90° C 30 30 75° D 300 lb 400 lb

63. To find the resultant of a concurrent force system, express each force as a Cartesian vector and add the i, j. k components of all the forces in the system. True False 64. A position vector ir ates one point in space relative to another point. True False 65. The tensile force developed in a continuous cable that passed over a frictionless pulley must have a constant magnitude throughout the cable to keep it in equilibrium. O True False 66. A cable can support only a compressive or "pulling" force. True False 67. In equilibrium, IF includes all the known and unknown forces which act on the particle. True O False

Q.4) The tensile force in cable AB has a magnitude of 80 lb. The cable is attached to a collar at A that slides on bar CD. Neglect the weight of collar A. (a) Determine the Cartesian coordinates of point A. (b) Express the tensile force in cable AB as a Cartesian vector and find its components along rod CD and perpendicular to it. X B 6 ft. 3 ft. -4 ft. Z 6 ft. T 5 ft. A y

Three pairs of flexible cables, spaced at 120° inter- vals, are used to stabilize a 1000-ft television tower. The tower and one pair of cables is shown in Fig. weight of the cables is 3.0 lb/ft. The horizontal component of the force exerted by each cable is 6000 lb. At anchor A, the angle between cable AC and the horizontal must be 40°. Determine The The horizontal distance d from the tower to anchor A. 400 ft B 400 ft KKKKKKKKKKI

A cable stretched between the fixed supports A and B is under a tension T of 1.6 kN. Express the tension as a vector using the unit vectors i and j, first, as a force TA acting on A and second, as a force Tg acting on B. 460 mm А y 340 mm Answers: TA = ( b) kN i+ Tg = ( b) kN

Q1 Q1\ ABD consists Isosceles triangle. The AB and AD help support pole AC. Known that the tension in AB is double AD tension and the distance between A and C is 0.7 of BD. Determine the magnitude of these tensions if the value of resultant forces is 120 Ib. B.

The two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle which R makes with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. 4.2 KN 1.6 kN Answers: R= i 0= i 28° // 20/000 HOT N lad wwwww 63° KN O

A. Draw fbd B. Determine value of force

How much force (N) is exerted by the tendon of a pennate muscle when the tension in the fibers is 260 N,given the following angles of pennation?a. 43°  b. 58°