EBK VECTOR MECHANICS FOR ENGINEERS: STA
12th Edition
ISBN: 8220106797068
Author: BEER
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8.2, Problem 8.68P
Derive the following formulas relating the load W and the force P exerted on the handle of the jack discussed in Sec. 8.2B. (a) P = (Wr/a) tan (θ + ϕS) to raise the load; (b) P = (Wr/a) tan (ϕS − θ) to lower the load if the screw is self-locking; (c) P = (Wr/a) tan (θ – ϕS) to hold the load if the screw is not self-locking.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A block placed under the head of the claw hammer as shown greatly facilitates the extraction of the nail. If a 40-lb pull on the handle is required to pull the nail, calculate the tension T in the nail and the magnitude A of the force exerted by the hammer head on the block. The contacting surfaces at A are sufficiently rough to prevent slipping.
T=? Lb. A=?Lb.
Derive the following formulas relating the load W and the force P exerted on the handle of the jack discussed in Sec. 8.2B. (a) P= (Wr/a) tan (0+φs) to raise the load; (b) P= (Wr/a) tan (φs-0) to lower the load if the screw is self-locking; (c) P= (Wr/a) tan (0-φs) to hold the load if the screw is not self-locking.
The simplest truss consists of two rods and is loaded by the force F.
Given: F = 7 kN. Angle α = 50 degrees.
Find: the algebraic (positive or negative) value (in kN) of normal force N2 in the rod 2, considering that N2>0 for tension and N2<0 for compression.
Chapter 8 Solutions
EBK VECTOR MECHANICS FOR ENGINEERS: STA
Ch. 8.1 - Knowing that the coefficient of friction between...Ch. 8.1 - Two blocks A and B are connected by a cable as...Ch. 8.1 - A cord is attached to and partially wound around a...Ch. 8.1 - A 40-kg packing crate must be moved to the left...Ch. 8.1 - Determine whether the block shown is in...Ch. 8.1 - Prob. 8.2PCh. 8.1 - Prob. 8.3PCh. 8.1 - Prob. 8.4PCh. 8.1 - Prob. 8.5PCh. 8.1 - The 20-lb block A hangs from a cable as shown....
Ch. 8.1 - The 10-kg block is attached to link AB and rests...Ch. 8.1 - Considering only values of less than 90,...Ch. 8.1 - The coefficients of friction between the block and...Ch. 8.1 - The coefficients of friction between the block and...Ch. 8.1 - The 50-lb block A and the 25-lb block B are...Ch. 8.1 - The 50-lb block A and the 25-lb block B are...Ch. 8.1 - Three 4-kg packages A, B, and C are placed on a...Ch. 8.1 - Solve Prob. 8.13 assuming that package B is placed...Ch. 8.1 - A uniform crate with a mass of 30 kg must be moved...Ch. 8.1 - A worker slowly moves a 50-kg crate to the left...Ch. 8.1 - Prob. 8.17PCh. 8.1 - A 200-lb sliding door is mounted on a horizontal...Ch. 8.1 - Prob. 8.19PCh. 8.1 - Solve Prob. 8.19 assuming that the coefficients of...Ch. 8.1 - Prob. 8.21PCh. 8.1 - The cylinder shown has a weight W and radius r,...Ch. 8.1 - The 10-lb uniform rod AB is held in the position...Ch. 8.1 - In Prob. 8.23, determine the largest value of P...Ch. 8.1 - A 6. 5-m ladder AB leans against a wall as shown....Ch. 8.1 - A 6. 5-m ladder AB leans against a wall as shown....Ch. 8.1 - The press shown is used to emboss a small seal at...Ch. 8.1 - The machine base shown has a mass of 75 kg and is...Ch. 8.1 - The 50-lb plate ABCD is attached at A and D to...Ch. 8.1 - In Prob. 8.29, determine the range of values of...Ch. 8.1 - A window sash weighing 10 lb is normally supported...Ch. 8.1 - A 500-N concrete block is to be lifted by the pair...Ch. 8.1 - Prob. 8.33PCh. 8.1 - A driver starts the engine of an automobile that...Ch. 8.1 - Prob. 8.35PCh. 8.1 - Prob. 8.36PCh. 8.1 - A 1.2-m plank with a mass of 3 kg rests on two...Ch. 8.1 - Two identical uniform boards, each with a weight...Ch. 8.1 - Prob. 8.39PCh. 8.1 - Prob. 8.40PCh. 8.1 - A 10-ft beam, weighing 1200 lb, is to be moved to...Ch. 8.1 - (a) Show that the beam of Prob. 8.41 cannot be...Ch. 8.1 - Two 8-kg blocks A and B resting on shelves are...Ch. 8.1 - A slender steel rod with a length of 225 mm is...Ch. 8.1 - In Prob. 8.44, determine the smallest value of ...Ch. 8.1 - Two slender rods of negligible weight are...Ch. 8.1 - Two slender rods of negligible weight are...Ch. 8.2 - The machine part ABC is supported by a...Ch. 8.2 - Solve Prob. 8.48 assuming that the wedge is moved...Ch. 8.2 - 8.50 and 8.51 Two 6 wedges of negligible weight...Ch. 8.2 - 8.50 and 8.51 Two 6 wedges of negligible weight...Ch. 8.2 - The elevation of the end of the steel beam...Ch. 8.2 - Prob. 8.53PCh. 8.2 - Block A supports a pipe column and rests as shown...Ch. 8.2 - Block A supports a pipe column and rests as shown...Ch. 8.2 - Block A supports a pipe column and rests as shown...Ch. 8.2 - A 200-lb block rests as shown on a wedge of...Ch. 8.2 - A 15 wedge is forced into a saw cut to prevent...Ch. 8.2 - A 12 wedge is used to spread a split ring. The...Ch. 8.2 - The spring of the door latch has a constant of 1.8...Ch. 8.2 - Prob. 8.61PCh. 8.2 - Prob. 8.62PCh. 8.2 - Prob. 8.63PCh. 8.2 - A 15 wedge is forced under a 50-kg pipe as shown....Ch. 8.2 - A 15 wedge is forced under a 50-kg pipe as shown....Ch. 8.2 - Prob. 8.66PCh. 8.2 - Prob. 8.67PCh. 8.2 - Derive the following formulas relating the load W...Ch. 8.2 - The square-threaded worm gear shown has a mean...Ch. 8.2 - Prob. 8.70PCh. 8.2 - High-strength bolts are used in the construction...Ch. 8.2 - The position of the automobile jack shown is...Ch. 8.2 - For the jack of Prob. 8.72, determine the...Ch. 8.2 - Prob. 8.74PCh. 8.2 - Prob. 8.75PCh. 8.2 - Prob. 8.76PCh. 8.3 - A lever of negligible weight is loosely fitted...Ch. 8.3 - A 6-in.-radius pulley of weight 5 lb is attached...Ch. 8.3 - 8.79 and 8.80 The double pulley shown is attached...Ch. 8.3 - Prob. 8.80PCh. 8.3 - 8.81 and 8.82 The double pulley shown is attached...Ch. 8.3 - 8.81 and 8.82 The double pulley shown is attached...Ch. 8.3 - The block and tackle shown are used to raise a...Ch. 8.3 - The block and tackle shown are used to lower a...Ch. 8.3 - A scooter is to be designed to roll down a 2...Ch. 8.3 - The link arrangement shown is frequently used in...Ch. 8.3 - 8.87 and 8.88 A lever AB of negligible weight is...Ch. 8.3 - 8.87 and 8.88 A lever AB of negligible weight is...Ch. 8.3 - 8.89 and 8.90 A lever AB of negligible weight is...Ch. 8.3 - 8.89 and 8.90 A lever AB of negligible weight is...Ch. 8.3 - A loaded railroad car has a mass of 30 Mg and is...Ch. 8.3 - Prob. 8.92PCh. 8.3 - A 50-lb electric floor polisher is operated on a...Ch. 8.3 - The frictional resistance of a thrust bearing...Ch. 8.3 - Assuming that bearings wear out as indicated in...Ch. 8.3 - Assuming that the pressure between the surfaces of...Ch. 8.3 - Solve Prob. 8.93 assuming that the normal force...Ch. 8.3 - Determine the horizontal force required to move a...Ch. 8.3 - Knowing that a 6-in.-diameter disk rolls at a...Ch. 8.3 - A 900-kg machine base is rolled along a concrete...Ch. 8.3 - Solve Prob. 8.85 including the effect of a...Ch. 8.3 - Solve Prob. 8.91 including the effect of a...Ch. 8.4 - A rope having a weight per unit length of 0.4...Ch. 8.4 - A hawser is wrapped two full turns around a...Ch. 8.4 - Two cylinders are connected by a rope that passes...Ch. 8.4 - Two cylinders are connected by a rope that passes...Ch. 8.4 - The coefficient of static friction between block B...Ch. 8.4 - The coefficient of static friction S is the same...Ch. 8.4 - A band belt is used to control the speed of a...Ch. 8.4 - The setup shown is used to measure the output of a...Ch. 8.4 - The setup shown is used to measure the output of a...Ch. 8.4 - A flat belt is used to transmit a couple from drum...Ch. 8.4 - A flat belt is used to transmit a couple from...Ch. 8.4 - Prob. 8.114PCh. 8.4 - The speed of the brake drum shown is controlled by...Ch. 8.4 - Prob. 8.116PCh. 8.4 - The speed of the brake drum shown is controlled by...Ch. 8.4 - Bucket A and block C are connected by a cable that...Ch. 8.4 - Solve Prob. 8.118 assuming that drum B is frozen...Ch. 8.4 - Prob. 8.120PCh. 8.4 - 8.121 and 8.123 A cable is placed around three...Ch. 8.4 - Prob. 8.122PCh. 8.4 - 8.121 and 8.123 A cable is placed around three...Ch. 8.4 - A recording tape passes over the 20-mm-radius...Ch. 8.4 - Solve Prob. 8.124 assuming that the idler drum C...Ch. 8.4 - Prob. 8.126PCh. 8.4 - The axle of the pulley is frozen and cannot rotate...Ch. 8.4 - Prob. 8.128PCh. 8.4 - Prob. 8.129PCh. 8.4 - Prove that Eqs. (8.13) and (8.14) are valid for...Ch. 8.4 - Prob. 8.131PCh. 8.4 - Solve Prob. 8.112 assuming that the flat belt and...Ch. 8.4 - Solve Prob. 8.113 assuming that the flat belt and...Ch. 8 - 8.134 and 8.135 The coefficients of friction are S...Ch. 8 - 8.134 and 8.135 The coefficients of friction are S...Ch. 8 - A 120-lb cabinet is mounted on casters that can be...Ch. 8 - Prob. 8.137RPCh. 8 - The hydraulic cylinder shown exerts a force of 3...Ch. 8 - Prob. 8.139RPCh. 8 - Bar AB is attached to collars that can slide on...Ch. 8 - Two 10 wedges of negligible weight are used to...Ch. 8 - A 10 wedge is used to split a section of a log....Ch. 8 - In the gear-pulling assembly shown, the...Ch. 8 - A lever of negligible weight is loosely fitted...Ch. 8 - In the pivoted motor mount shown, the weight W of...
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.Similar questions
- Σ F = 0 Because each joint is subjected to a coplanar and concurrent force system, no moment equations are needed. The analysis of a truss should always begin with a joint that has at least one known force and at most two unknown forces. These equations of equilibrium yield two algebraic equations that can be solved for at most two unknowns. Part A As shown, a truss is loaded with forces P₁ = 193 lb and P₂ = 391 lb and has the dimension a = 3.80 ft. a D B y x с Determine A, and Ay, joint A's reaction forces' magnitudes in the x and y directions, respectively, and Cy, joint C's reaction force's magnitude in the y direction. P Pearsonarrow_forward4e. If the two forces are F1=(3i-2j-9k) kN and F2=(-16i) kN, Find out All the correct equations that, when solved simultaneously, can determine all the support reactions on the rod assembly. The unknowns are defined according to convention and class examples. 4f. If the two forces are F1=(3i-2j-9k) kN and F2=(-16i) kN, find out all support reaction components. Note: All the problems here use the same diagram shown in the two given PNGs. Also start with the problems in the images first.arrow_forwardThe blade of the bulldozer shown below is rigidly attached to a linkage consisting of the arm AB, which is controlled by the hydraulic cylinder BC. There is an identical linkage on the other side of the bulldozer. Applied loads shown are for both linkages and F = 751 kN. Determine the magnitude of the pin reaction at A in kN.Determine the magnitude of the pin reaction at B in kN.Determine the magnitude of the pin reaction at C in kN.Determine the pressure in hydraulic cylinder BC in Pa if the cylinder has a diameter of 80 mm.arrow_forward
- 4. Solve for all the force values of each member in the given system. 3 12 W = 200 # 3arrow_forwardCable AB supports the uniformly distributed load of 4 kN/m. If the slope of the cable at A is zero, compute (a) the maximum tensile force in the cable; and (b) the length of the cable B 50 m 4 kN/m Tmax = 250 kN; S = 70 m Tmax = 300 kN; S = 75 m Tmax = 350 kN ; S = 80 m Tmax = 400 kN; S = 85 m 40 m A O Oarrow_forwardJ 6arrow_forward
- Please illustrate the Free Body Diagram of each blocks. Show me the derivation of the equations(Summation X and Y) Thanks in advance Keep Safe!arrow_forwardPart A When y is zero, the springs sustain a force of 54 lb . (Figure 1) Determine the magnitude of the applied vertical forces F and -F required to pull point A away from point Ba distance of y = 1.5 ft . The ends of cords CAD and CBD are attached to rings at Cand D. Express your answer to two significant figures and include the appropriate units. Figure 1 of 1 ? F = Value Units Submit Request Answer 2 ft 2ft k = 40 lb/ft www k = 40 lb/ft 2 ft Provide Feedback Next > 6 2 ft Oarrow_forward3. For the following problem, determine the reaction forces at pin A and roller B. [Ax=0; Ay=20kN 1; BN-20kN 1] 6 kN/m 6 kN/m 4 kN/m 4 m + 4 m Barrow_forward
- Solution for A weight W = 500 KN rests on the weightless and friction less bar AB. The cable connecting W and point B passes over a frictionless pulleys. Find the Reaction (Ra) at point A.arrow_forwardPROBLEM 7: In the figure, μ = 0.30 for the contact of the 80-kg crate and the ground. Pulleys are frictionless. (a) determine the value of θ to move the crate (b) Determine the tensile force (in N) in the rope attached to the crate to move the crate. (c) Determine the smallest force (in N) the man must exert on the rope to move the cratearrow_forwardThe uniform rod AB has a weight of 10KN and is supported by a ball-and-socket joint at A and by the cord GC that is attached to the midpoint G of the rod. Knowing that the rod leans against a frictionless vertical wall at B, do the following: a) Label and name all forces that act on the rod. (You may use the given drawing. Assume the weight of the rod acts at G.) (4) 1.5 m 1.5 m b) Determine the tension force in the cable required to hold the rod in equilibrium (21) 4 m G 3m 0.75 75 m- 6 m.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Engineering Basics - Statics & Forces in Equilibrium; Author: Solid Solutions - Professional Design Solutions;https://www.youtube.com/watch?v=dQBvQ2hJZFg;License: Standard YouTube License, CC-BY