The joints of the human body can be studied as levers, as can be the elbow that appears in the figure. Calculate the force that the biceps (muscle) must exert on the bone to hold a 5 kg weight in the hand, and the reactions in the elbow.
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- The 120kg homogeneous thin pla supported using ball and socket joint at E , a smooth roller at D. and a cable at O and B. Cable at OA acts axis while cable BC parallel to y - axis . If 700N force is vertically downward parallel to y - axis and a 400 Nm couple acts along x - axis are exerted on the plate , determine the tension of the cable at OA , BC and the reactions at D and E. The thickness of the plate is neglected .A copper wire is 1.0 m long and it diameter is 1.0 mm. if the wire hangs vertically how much weight must be added to its free end in order to stretch it 3.0mm?Suppose the biceps muscle was attached through tendons to the upper arm dose to the elbow and the forearm near the wrist. What would be the advantages and of this of construction for the motion of the arm?
- O #07. 30. A uniform. 240g metes Stick Cem balancedo by. a 240g be weight placed at °the ful crum is loo čm placed marle if the at the poind' marlked:The 450-kg uniform I-beam supports the load of 220 kg as shown. Determine the reactions at the supports. (2850 N) R=? R,= ? 5.6 m 2.4 m 220 kg12:10 4G Not Secure - yslphysics.weebly.com the rod. odulus for metal = 1.0 x 10!l N m²² ) 30 of 32 Answer: 3.2×10-4 J EXERCISE 2 A hollow cylinder has length 50.0 cm, internal diameter 5.0 cm and external diameter 6.0 cm. A force of magnitude 1.0 kN acts at each end of cylinder so that the cylinder is being compressed. Determine the compression of cylinder. ( Young's modulus for the material of the Cylinder = 7.0x101º Nm-² ) Answer: 8.3×10-6 m EXERCISE 3 A wire of length 0.50 m is fixed horizontally between two supports separated by 0.50 m. When a mass of 8.0 kg hangs from the middle of the wire, the mid-point sags by 1.00 cm. The diameter of the wire is 2.8 mm. Calculate the Young's modulus of the wire. (Given g = 9.81 m s-2) Answer: 1.99 × 10* Pu
- The 350-kg uniform I-beam supports the load shown. Determine the reactions at the supports. -5.7 m- +2.3 m B Answers: Ax Ay= By= i Mi 260 kg N N NPROBLEM 2. The light rigid bar ABCD shown in Fig. P-252 is pinned at B and connected to two vertical rods. Assuming that the bar was initially horizontal and the rods stress-free, determine the stress in each rod after the load after the load P = 41. 29 KN is applied. Hint: convert the distance of each member into mm, area of steel and aluminum into mm^2, & E into MPa.. Steel L-3 ft A- 0.5 in E- 29 x 10° psi 4 ft Aluminum L-4ft A- 0.75 in E - 10 x 10 psi + 2 ft Figure P-252position OB. The elastic modulus of the f 149 An exerciser begins with his arm in the relaxed ver- tical position OA, at stretched. He then band is un- his arm to the horizontál/ band twhich the elastic is k = 60 N/m-that is, 60 N of force is required to stretch the band each mine the moment about O of the force which the additional meter of elongation. Deter- band exerts on the hand B. Jie Ans. Mo = 26.8 N m CCW Jup 635 mm F 740 mm C
- Because of long-tem loading from the 900-N tension in the power line, the uniform utility pole has developed a lean. If the mass per unit length of the 9 m pole is 24 kg'm and the mass of the lamp fixture is negligible, determine the reactions at the ground support A. Pwer lne VerticalFind the magnitude of the torque exerted by F on the bolt at P if PQ = 4 in. and F = 36 Ib. %3D 450 The magnitude of the torque exerted by F on the bolt at P is ..... ft-lb.The maximum mass mm that a person can hold in a hand when the arm is positioned with a 105∘∘ angle at the elbow as shown in (Figure 1) is 23 kgkg . Assume the forearm and hand have a total mass of 2.0 kgkg with a CG that is 15 cmcm from the elbow, and that the biceps muscle attaches 5.0 cmcm from the elbow.