Explanation Given information : The mass of the flowerpot is 20 kg. Show the free body diagram of the forces acting on the cable system as in Figure 1. Determine the weight of the flowerpot. W = m g (I) Here, the mass of the flowerpot is m and the acceleration due to gravity is g . Determine the force developed in each cable by applying the Equation of equilibrium. Along z axis : ∑ F z = 0 F A B ( l B E l B E 2 + l A E 2 ) − W = 0 F A B ( l B E l B E 2 + l A E 2 ) = W (II) Here, the force in cable AB is F A B , the length of the point BE is l B E , the length of the point A E is l A E , the length of the cable AC is l A C , and the weight of the flowerpot is W . Along x axis: ∑ F x = 0 F A C ( l C F l A F 2 + l C F 2 ) − F A D ( l D F l A F 2 + l D F 2 ) = 0 F A C ( l C F l A F 2 + l C F 2 ) = F A D ( l D F l A F 2 + l D F 2 ) (III) Here, the force in cable AC is F A C , the length of the point CF is l C F , the length of the point AF is l A F , and the length of the point DF is l D F . Along y axis: ∑ F y = 0 F A C ( l A F l A F 2 + l C F 2 ) + F A D ( l A F l A F 2 + l D F 2 ) − F A B ( l A E l A E 2 + l B E 2 ) = 0 F A C ( l A F l A F 2 + l C F 2 ) + F A D ( l A F l A F 2 + l D F 2 ) = F A B ( l A E l A E 2 + l B E 2 ) (IV) Conclusion : Substitute 20 kg for m and 9

Engineering Mechanics: Statics & Dynamics (14th Edition)

14th Edition

ISBN: 9780133915426

Author: Russell C. Hibbeler

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 3.4, Problem 47P

To determine

The forces in each cable for equilibrium.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.4, Problem 46P

Chapter 3.4, Problem 48P

Students have asked these similar questions

A gearbox has permanent shaft positions defined by the bearing mounting positions, but the gear ratio can be changed by changing the number of teeth in the pinion and gear. To achieve similar power transmission ability for different gear ratios, a manufacturer chooses to have the same module for two different gearboxes. One of the gaerboxes has a pinion with 22 teeth, a gear with 68 teeth, and a center distance of 225mm. How large is the gear module and which gear ratios are possible for a pinion with 22 or more teeth using the same module?

A gear train has a 50.3 mm circular pitch and a 25 degree pressure angle and meshes with a pinion having 12 teeth Design this gear train to minimize its volume and the total number of teeth. Obtain the pitch diameters the number of teeth the speed ratio the center distance and the module of this gear train. The gearbox housing has a diameter of 620mm

Handwritten solution required ,strictly do not use CHATGPT. MECHANICAL ENGG

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. 30P Ch. 3.3 - Prob. 31P Ch. 3.3 - Prob. 32P Ch. 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. 35P Ch. 3.3 - Prob. 36P Ch. 3.3 - Prob. 37P Ch. 3.3 - Prob. 38P Ch. 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. 2CP Ch. 3.3 - Prob. 3CP Ch. 3.3 - Prob. 4CP Ch. 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. 9FP Ch. 3.4 - Prob. 10FP Ch. 3.4 - Prob. 11FP Ch. 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. 47P Ch. 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. 51P Ch. 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. 54P Ch. 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. 60P Ch. 3.4 - Prob. 61P Ch. 3.4 - If the maximum force in each rod con not exceed...Ch. 3.4 - Prob. 63P Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Prob. 65P Ch. 3.4 - Prob. 66P Ch. 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. 2RP Ch. 3.4 - Prob. 3RP Ch. 3.4 - Prob. 4RP Ch. 3.4 - Prob. 5RP Ch. 3.4 - Prob. 6RP Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - If cable AB is subjected to a tension of 700 N,...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The forces in each cable for equilibrium.

Solution Summary: The author shows the free body diagram of the forces acting on the cable system as in Figure 1.

Videos

The forces in each cable for equilibrium.

Want to see the full answer?

Chapter 3 Solutions