Resolve the 900-N force into a component P along with AB and a component Q perpendicular to AB.
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A: Express vectors SP, SQ, and SR in vector form as follows:
Resolve the 900-N force into a component P along
with AB and a component Q perpendicular to AB.
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- 4. (i) The force F acts on the bracket within the octant shown. If F = 400 N, ẞ = 60°, and y = 45%, determine the x, y, z components of F. (ii) The force F acts on the bracket within the octant shown. If the magnitudes of the x and z components of F are Fx = 300N and Fz = 600N respectively, and ẞ = 60º, determine the magnitude of F and its y component. Also, find the coordinate direction angles a and y.A man holds a 183-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M→, which is applied perpendicular to the forearm. The forearm weighs 24.5 N and has a center of gravity as indicated. Find (a) the magnitude of M→ and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint.For the hinged beam and cable in example 9-6, what would happen to the tension in the cable as the angle was increased? Would the tension increase, decrease or stay the same? Show your reasoning.
- The Tethered Satellite in shown has a mass of 525 kg and is at the end of a 20.0 km long, 2.50 mm diameter cable with the tensile strength of steel. (a) How much does the cable stretch if a 100 N force is exerted to pull the satellite in? (Assume the satellite and shuttle are at the same altitudeabove the Earth.) (b) What is the effective force constant of the cable? (c) How much energy is stored in it when stretched by the 100 N force?The guy wires AB and AC are attached to the top of the transmission tower. The tension in cable AB is 7.1 kN. Determine the required tension Tin cable AC such that the net effect of the two cables is a downward force at point A. Determine the magnitude R of this downward force. Assume a = 39 m, b = 47 m, c = 31 m, and d = 39 m. B Answers: A KN T = 1. R = 1 KN17-59. The uniform slender rod has a mass m. If it is released from rest when 0 = 0°, determine the magnitude of the reactive force exerted on it by pin B when 0 = 90°. w/
- -T Problem 2 (a) An infinite plate with a small hole of radius a is subjected to a r = a far-field biaxial loading of: T b- co Oxr = T, oyy = -T asr- o y (The arrows in the Figure indicate the positive directions.) -T Determine the stress field o,(r, 0), dgo(r, 0), ore(r, 0). For r = a, determine the angle 0 at which ogg is a maximum or minimum. What is the stress concentration factor at the location of maximum ogg ? (b) Repeat part (a) above if the far-field biaxial loading is: Oxx = T, oyy = T as r co r=a T T y T.10° A V60° B If the maximum tension force the cable AB could carry is 1500N before breaking, and the maximum compressive force the pole AC could carry is 2200 N before buckling, what is the maximum value of P in NewtonsEa- d ms A horizontal L=1.4 m long mb3D12kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 30° angle with horizontal. A 22 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.
- #6. One the following vector fields F(x, y,z)= xyz*i+x²z*j+4x²yz°k G(x,y,z)= i+ (sin z) j+ y (cos z)k is conservative and other is not. (a) Determine whether F is conservative or not. (b) Determine whether G is conservative or not. (c) For the vector field that is conservative find a functionf such that the vector field is equal to Vf.A 11 N horizontal force F→ pushes a block weighing 4.1 N against a vertical wall (see the figure). The coefficient of static friction between the wall and the block is 0.56, and the coefficient of kinetic friction is 0.49. Assume that the block is not moving initially. (a) Will the block move? ("yes" or "no") (b) In unit-vector notation Fxî+Fyĵ, what is the force on the block from the wall?How far from Q 2 must Q 3 be located so that the forces on Q 2 are at equilibrium ? ( Ans: 16.5 cm)