Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3.3, Problem 22P
The springs BA and BC each have a stiffness of 500 N/m and an unstretched length of 3 m. Determine the horizontal force F applied to the cord which is attached to the small ring B so that the displacement of AB from the wall is d = 1.5 m.
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Compute the work done by the indicated force when the disk undergoes the specified displacement S=3m.
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Fig. Q3
Force equation:
Force equation 3D
Moment 3D
Cosine rule
R - 4 +B-2AB cos e
F- Fi+Fj+Fk
Ff = F +F +F
moment about a point
M-rxF
Sine rule
F|
di+dj+dk
F F3
Fc
sin 4 sin B sinC
moment about an axis
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8= tan
R
Chapter 3 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 3.3 - In each case, draw a free-body diagram of the ring...Ch. 3.3 - Write the two equations of equilibrium, Fx = 0 and...Ch. 3.3 - The crate has a weight of 550 lb. Determine the...Ch. 3.3 - The beam has a weight of 700 lb. Determine the...Ch. 3.3 - If the 5-kg block is suspended from the pulley B...Ch. 3.3 - The block has a mass of 5 kg and rests on the...Ch. 3.3 - If the mass of cylinder C is 40 kg, determine the...Ch. 3.3 - Determine the tension in cables AB, BC, and CD,...Ch. 3.3 - The members of a truss are pin connected at joint...Ch. 3.3 - The members of a truss are pin connected at joint...
Ch. 3.3 - Determine the magnitude and direction of F so...Ch. 3.3 - The bearing consists of rollers, symmetrically...Ch. 3.3 - The members of a truss are connected to the gusset...Ch. 3.3 - The gusset plate is subjected to the forces of...Ch. 3.3 - The man attempts to pull down the tree using the...Ch. 3.3 - The cords ABC and BD can each support a maximum...Ch. 3.3 - Determine the maximum force F that can be...Ch. 3.3 - The block has a weight of 20 lb and is being...Ch. 3.3 - Determine the maximum weight W of the block that...Ch. 3.3 - The lift sling is used to hoist a container having...Ch. 3.3 - A nuclear-reactor vessel has a weight of 500(103)...Ch. 3.3 - Determine the stretch in each spring for...Ch. 3.3 - The unstretched length of spring AB is 3 m. If the...Ch. 3.3 - Determine the mass of each of the two cylinders if...Ch. 3.3 - Determine the stiffness kT of the single spring...Ch. 3.3 - If the spring DB has an unstretched length of 2 m....Ch. 3.3 - Determine the unstretched length of DB to hold the...Ch. 3.3 - A vertical force P = 10 lb is applied to the ends...Ch. 3.3 - Determine the unstretched length of spring AC if a...Ch. 3.3 - The springs BA and BC each have a stiffness of 500...Ch. 3.3 - The springs BA and BC each nave a stiffness of 500...Ch. 3.3 - Determine the distances x and y for equilibrium if...Ch. 3.3 - Determine the magnitude of F1 and the distance y...Ch. 3.3 - The 30-kg pipe is supported at A by a system of...Ch. 3.3 - Each cord can sustain a maximum tension of 500 N....Ch. 3.3 - The streetlights A and B are suspended from the...Ch. 3.3 - Determine the tension developed in each cord...Ch. 3.3 - Prob. 30PCh. 3.3 - Prob. 31PCh. 3.3 - Prob. 32PCh. 3.3 - The lamp has a weight of 15 lb and is supported by...Ch. 3.3 - Each cord can sustain a maximum tension of 20 lb....Ch. 3.3 - Prob. 35PCh. 3.3 - Prob. 36PCh. 3.3 - Prob. 37PCh. 3.3 - Prob. 38PCh. 3.3 - The ball D has a mass of 20 kg. If a force of F =...Ch. 3.3 - The 200-lb uniform container is suspended by means...Ch. 3.3 - The single elastic cord ABC is used to support the...Ch. 3.3 - A scale is constructed with a 4-ft-long cord and...Ch. 3.3 - The concrete wall panel is hoisted into position...Ch. 3.3 - Prob. 2CPCh. 3.3 - Prob. 3CPCh. 3.3 - Prob. 4CPCh. 3.4 - Determine the magnitude of forces F1, F2, F3, so...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Prob. 9FPCh. 3.4 - Prob. 10FPCh. 3.4 - Prob. 11FPCh. 3.4 - The three cables are used to support the 40-kg...Ch. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - If the bucket and its contents have a total weight...Ch. 3.4 - Determine the stretch in each of die two springs...Ch. 3.4 - Prob. 47PCh. 3.4 - Determine the tension in the cables in order to...Ch. 3.4 - Determine the maximum mass of the crate so that...Ch. 3.4 - Determine the force in each cable if F = 500 lb.Ch. 3.4 - Prob. 51PCh. 3.4 - Determine the tens on developed in cables AB and...Ch. 3.4 - If the tension developed in each cable cannot...Ch. 3.4 - Prob. 54PCh. 3.4 - Determine the maximum weight of the crate that can...Ch. 3.4 - The 25 kg flowerpot is supported at A by the three...Ch. 3.4 - If each cord can sustain a maximum tension of 50 N...Ch. 3.4 - Determine the tension developed m the three cables...Ch. 3.4 - Determine the tension developed in the three...Ch. 3.4 - Prob. 60PCh. 3.4 - Prob. 61PCh. 3.4 - If the maximum force in each rod con not exceed...Ch. 3.4 - Prob. 63PCh. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Prob. 65PCh. 3.4 - Prob. 66PCh. 3.4 - Determine the maximum weight of the crate so that...Ch. 3.4 - The pipe is held in place by the vise. If the bolt...Ch. 3.4 - Prob. 2RPCh. 3.4 - Prob. 3RPCh. 3.4 - Prob. 4RPCh. 3.4 - Prob. 5RPCh. 3.4 - Prob. 6RPCh. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - If cable AB is subjected to a tension of 700 N,...
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- The beam is loaded with a uniformly varying load 0 at point D and maximum of 7 kN/m at the fixed support. Determine the tension in the cable. D B 0.8 m 1.8 m 0.4 m 25 kNarrow_forwardIf the 20-mm-diameter rod is made of A-36 steel and the stiffness of the spring is k = 50 MN>m, determine the displacement of end A when the 60-kN force is applied.arrow_forwardAlso, determine the x-component of the force which the spring exerts on the pin. Express your answer in units of N.arrow_forward
- Problem 3: µs = 0.60 between wedges B and C and us = 0.40 between the surfaces B & A and C & D. If the spring is compressed 200 mm in the position shown, find the smallest force P required to move the wedge. Neglect the weight of the wedges. A 15° B D k = 500 N/m 15° 15° C Parrow_forwardThe tapered shaft is confined by the fixed supports at A and B. If a torque T is applied at its mid-point, determine the reactions at the supports.arrow_forwardthe uniform concrete pole has a mass of 25 tons and is slowly being lifted to a vertical position through the tension P in the cable. for position theta=60° calculate the tension T in the horizontal anchor cable 6 m 6 m 8 2m T Barrow_forward
- The support at A is a smooth pin and the support at B is a roller. Find all of the support reactions at A and B. Include the directionš of the supports as well. fom 400 N 100 N/m A B 4 m 4 marrow_forwardDetermine the Normal Forces at A and B and the tension in the cable. O 1400kg 0.6m 0.4m 0.6m 0.6m 500kgarrow_forward3-18. If the spring DB has an unstretched length of 2 m, determine the stiffness of the spring to hold the 40-kg crate in the position shown. 3-19. Determine the unstretched length of DB to hold the 40-kg crate in the position shown. Take k = 180 N/m. %3D -2 m- 3 m В 2 m www Aarrow_forward
- The bar of negligible weight is supported by two springs,each having a stiffness k = 80 N>m. If the springs are originally unstretched, and the force is vertical as shown,determine the angle theta the bar makes with the horizontal,when the 45-N force is applied to the bar. 1.5 m- 3 m C В 45 Narrow_forwardconsider the truss system, support b is settled downward for 10 mm. El = constant, a.determine the displacement and rotation at ВС b.the reaction force 2 m 2 marrow_forwardQ5/ Three cables are joined at the junction ring C. Determine the tensions in cables AC and BC caused by the weight of the 30-kg cylinder. A 45° 15° 30% 30 kgarrow_forward
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