Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 8.2, Problem 55P
Determine the greatest angle θ so that the ladder does not slip when it supports the 75-kg man in the position shown. The surface is rather slippery, where the coefficients of static friction at A and B is, μs = 0.3.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
state the formulas for calculating work done by gas
Exercises
Find the solution of the following Differential Equations
1) y" + y = 3x²
3)
"+2y+3y=27x
5) y"+y=6sin(x)
7) y"+4y+4y = 18 cosh(x)
9) (4)-5y"+4y = 10 cos(x)
11) y"+y=x²+x
13) y"-2y+y=e*
15) y+2y"-y'-2y=1-4x³
2) y"+2y' + y = x²
4) "+y=-30 sin(4x)
6) y"+4y+3y=sin(x)+2 cos(x)
8) y"-2y+2y= 2e* cos(x)
10) y+y-2y=3e*
12) y"-y=e*
14) y"+y+y=x+4x³ +12x²
16) y"-2y+2y=2e* cos(x)
The state of stress at a point is σ = -4.00 kpsi, σy = 16.00 kpsi, σ = -14.00 kpsi, Try = 11.00 kpsi,
Tyz = 8.000 kpsi, and T = -14.00 kpsi.
Determine the principal stresses.
The principal normal stress σ₁ is determined to be [
The principal normal stress σ2 is determined to be [
The principal normal stress σ3 is determined to be
kpsi.
kpsi.
The principal shear stress 71/2 is determined to be [
The principal shear stress 7½ is determined to be [
The principal shear stress T₁/, is determined to be [
kpsi.
kpsi.
kpsi.
kpsi.
Chapter 8 Solutions
Engineering Mechanics: Statics
Ch. 8.2 - Determine the friction developed between the 50-kg...Ch. 8.2 - Determine the minimum force P to prevent the 30-kg...Ch. 8.2 - Determine the maximum force P that can be applied...Ch. 8.2 - If the coefficient of static friction at contact...Ch. 8.2 - Determine the maximum force P that can be applied...Ch. 8.2 - Prob. 6FPCh. 8.2 - Blocks A, B, and C have weights of 50 N, 25 N, and...Ch. 8.2 - If the coefficient of static friction at all...Ch. 8.2 - Using the coefficients of static friction...Ch. 8.2 - Prob. 1P
Ch. 8.2 - The tractor exerts a towing force T=400 lb....Ch. 8.2 - The winch on the truck is used to hoist the...Ch. 8.2 - Prob. 4PCh. 8.2 - Prob. 5PCh. 8.2 - Prob. 6PCh. 8.2 - The block brake consists of a pin-connected lever...Ch. 8.2 - The block brake consists of a pin-connected lever...Ch. 8.2 - Prob. 9PCh. 8.2 - Prob. 10PCh. 8.2 - The block brake is used to stop the wheel from...Ch. 8.2 - If a torque of M=300 Nm is applied to the...Ch. 8.2 - The cam is subjected to a couple moment of 5N m....Ch. 8.2 - Determine the maximum weight W the man can lift...Ch. 8.2 - The car has a mass of 1.6 Mg and center of mass at...Ch. 8.2 - Prob. 16PCh. 8.2 - Prob. 17PCh. 8.2 - Prob. 18PCh. 8.2 - Prob. 19PCh. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - A 35-kg disk rests on an inclined surface for...Ch. 8.2 - The man has a weight of 200 lb, and the...Ch. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.2 - If the coefficient of static friction at A and B...Ch. 8.2 - Prob. 32PCh. 8.2 - Prob. 33PCh. 8.2 - Prob. 34PCh. 8.2 - Prob. 35PCh. 8.2 - Prob. 36PCh. 8.2 - Prob. 37PCh. 8.2 - Prob. 38PCh. 8.2 - Prob. 39PCh. 8.2 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8.2 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8.2 - Prob. 42PCh. 8.2 - Prob. 43PCh. 8.2 - Prob. 44PCh. 8.2 - Prob. 45PCh. 8.2 - The beam AB has a negligible mass and thickness...Ch. 8.2 - It is supported at one end by a pin and at the...Ch. 8.2 - Prob. 48PCh. 8.2 - Prob. 49PCh. 8.2 - Prob. 50PCh. 8.2 - Prob. 51PCh. 8.2 - Prob. 52PCh. 8.2 - The wheel weights 20 lb and rests on a surface for...Ch. 8.2 - Prob. 54PCh. 8.2 - Determine the greatest angle so that the ladder...Ch. 8.2 - Prob. 56PCh. 8.2 - Prob. 57PCh. 8.2 - Prob. 4CPCh. 8.4 - Determine the largest angle that will cause the...Ch. 8.4 - If the beam AD is loaded as shown, determine the...Ch. 8.4 - Prob. 60PCh. 8.4 - Prob. 61PCh. 8.4 - If P=250 N, determine the required minimum...Ch. 8.4 - Determine the minimum applied force P required to...Ch. 8.4 - Prob. 64PCh. 8.4 - Prob. 65PCh. 8.4 - Prob. 66PCh. 8.4 - Prob. 67PCh. 8.4 - If the clamping force on the boards is 600 lb,...Ch. 8.4 - Prob. 69PCh. 8.4 - If the force F is removed from the handle of the...Ch. 8.4 - If the clamping force at G is 900 N, determine the...Ch. 8.4 - If a horizontal force of F = 50 N is applied...Ch. 8.4 - Prob. 73PCh. 8.4 - Prob. 74PCh. 8.4 - The shaft has a square-threaded screw with a lead...Ch. 8.4 - Prob. 76PCh. 8.4 - Prob. 77PCh. 8.4 - Prob. 78PCh. 8.4 - If a horizontal force of P = 100 N is applied...Ch. 8.4 - Determine the horizontal force P that must be...Ch. 8.4 - Prob. 81PCh. 8.4 - Prob. 82PCh. 8.5 - A cylinder having a mass of 250 kg is to be...Ch. 8.5 - A cylinder having a mass of 250 kg is to be...Ch. 8.5 - Prob. 85PCh. 8.5 - Prob. 86PCh. 8.5 - Prob. 87PCh. 8.5 - The coefficient of static friction between the...Ch. 8.5 - Prob. 89PCh. 8.5 - Prob. 90PCh. 8.5 - Prob. 91PCh. 8.5 - Prob. 92PCh. 8.5 - Prob. 93PCh. 8.5 - Determine the weight of the cylinder if the...Ch. 8.5 - If slipping does not occur at the wall, determine...Ch. 8.5 - Prob. 96PCh. 8.5 - Prob. 97PCh. 8.5 - Show that the frictional relationship between the...Ch. 8.5 - Prob. 99PCh. 8.5 - Determine the largest angles so that the cord...Ch. 8.5 - Prob. 101PCh. 8.5 - Determine the smallest counterclockwise twist or...Ch. 8.5 - Prob. 103PCh. 8.5 - Prob. 104PCh. 8.5 - Determine the smallest stretch of the spring...Ch. 8.5 - Idler pulley A, and motor pulley B. If the motor...Ch. 8.8 - Prob. 107PCh. 8.8 - Prob. 108PCh. 8.8 - Prob. 109PCh. 8.8 - Prob. 110PCh. 8.8 - Prob. 111PCh. 8.8 - Prob. 112PCh. 8.8 - Prob. 113PCh. 8.8 - Prob. 114PCh. 8.8 - Prob. 116PCh. 8.8 - Prob. 117PCh. 8.8 - Prob. 118PCh. 8.8 - Prob. 119PCh. 8.8 - Prob. 120PCh. 8.8 - Prob. 121PCh. 8.8 - Prob. 122PCh. 8.8 - Prob. 123PCh. 8.8 - Prob. 124PCh. 8.8 - Prob. 125PCh. 8.8 - Prob. 126PCh. 8.8 - Prob. 127PCh. 8.8 - The vehicle has a weight of 2600 lb and center of...Ch. 8.8 - The tractor has a weight of 16 000 lb and the...Ch. 8.8 - Prob. 130PCh. 8.8 - Prob. 131PCh. 8.8 - Prob. 132PCh. 8.8 - Prob. 133RPCh. 8.8 - Prob. 134RPCh. 8.8 - Prob. 135RPCh. 8.8 - Prob. 136RPCh. 8.8 - The three stone blocks have weights of, WA =...Ch. 8.8 - The uniform 60-kg crate C rests uniformly on a...Ch. 8.8 - Prob. 139RPCh. 8.8 - Prob. 140RPCh. 8.8 - Prob. 141RPCh. 8.8 - Prob. 142RPCh. 8.8 - Prob. 143RPCh. 8.8 - Prob. 144RP
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
- Repeat Problem 28, except using a shaft that is rotatingand transmitting a torque of 150 N * m from the left bearing to the middle of the shaft. Also, there is a profile keyseat at the middle under the load. (I want to understand this problem)arrow_forwardProb 2. The material distorts into the dashed position shown. Determine the average normal strains &x, Ey and the shear strain Yxy at A, and the average normal strain along line BE. 50 mm B 200 mm 15 mm 30 mm D ΕΙ 50 mm x A 150 mm Farrow_forwardProb 3. The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the shear strain, Yxy, at A. Prob 4. The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the average normal strain & along the x axis. Prob 5. The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the average normal strain &x along the x' axis. x' 45° 800 mm 45° 45% 800 mm 5 mmarrow_forward
- An airplane lands on the straight runaway, originally travelling at 110 ft/s when s = 0. If it is subjected to the decelerations shown, determine the time t' needed to stop the plane and construct the s -t graph for the motion. draw a graph and show all work step by steparrow_forwarddny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forwardB 60 ft WAB AB 30% : The crane's telescopic boom rotates with the angular velocity w = 0.06 rad/s and angular acceleration a = 0.07 rad/s². At the same instant, the boom is extending with a constant speed of 0.8 ft/s, measured relative to the boom. Determine the magnitude of the acceleration of point B at this instant.arrow_forward
- The motion of peg P is constrained by the lemniscate curved slot in OB and by the slotted arm OA. (Figure 1) If OA rotates counterclockwise with a constant angular velocity of 0 = 3 rad/s, determine the magnitude of the velocity of peg P at 0 = 30°. Express your answer to three significant figures and include the appropriate units. Determine the magnitude of the acceleration of peg P at 0 = 30°. Express your answer to three significant figures and include the appropriate units. 0 (4 cos 2 0)m² B Aarrow_forward5: The structure shown was designed to support a30-kN load. It consists of a boom AB with a 30 x 50-mmrectangular cross section and a rod BC with a 20-mm-diametercircular cross section. The boom and the rod are connected bya pin at B and are supported by pins and brackets at A and C,respectively.1. Calculate the normal stress in boom AB and rod BC,indicate if in tension or compression.2. Calculate the shear stress of pins at A, B and C.3. Calculate the bearing stresses at A in member AB,and in the bracket.arrow_forward4: The boom AC is a 4-in. square steel tube with a wallthickness of 0.25 in. The boom is supported by the 0.5-in.-diameter pinat A, and the 0.375-in.-diameter cable BC. The working stresses are 25ksi for the cable, 18 ksi for the boom, and 13.6 ksi for shear in the pin.Neglect the weight of the boom.1. Calculate the maximum value of P (kips) based on boom compression and the maximum value of P (kips) based on tension in the cable.2. Calculate the maximum value of P (kips) based on shear in pin.arrow_forward
- 3: A steel strut S serving as a brace for a boat hoist transmits a compressive force P = 54 kN to the deck of a pier as shown in Fig. STR-08. The strut has a hollow square cross section with a wall thickness t =12mm and the angle θ between the strut and the horizontal is 40°. A pin through the strut transmits the compressive force from the strut to two gusset plates G that are welded to the base plate B. Four anchor bolts fasten the base plate to the deck. The diameter of the pin is 20mm, the thickness of the gusset plates is 16mm, the thickness of the base plate is 8mm, and the diameter of the anchor bolts is 12mm. Disregard any friction between the base plate and the deck.1. Determine the shear stress in the pin, in MPa and the shear stress in the anchor bolts, in MPa.2. Determine the bearing stress in the strut holes, in MPa.arrow_forward1. In the figure, the beam, W410x67, with 9 mm web thicknesssubjects the girder, W530x109 with 12 mm web thickness to a shear load,P (kN). 2L – 90 mm × 90 mm × 6 mm with bolts frame the beam to thegirder.Given: S1 = S2 = S5 = 40 mm; S3 = 75 mm; S4 = 110 mmAllowable Stresses are as follows:Bolt shear stress, Fv = 125 MPaBolt bearing stress, Fp = 510 MPa1. Determine the allowable load, P (kN), based on the shearcapacity of the 4 – 25 mm diameter bolts (4 – d1) and calculate the allowable load, P (kN), based on bolt bearing stress on the web of the beam.2. If P = 450 kN, determine the minimum diameter (mm) of 4 – d1based on allowable bolt shear stress and bearing stress of thebeam web.arrow_forward6: The 6-kN load P is supported by two wooden members of 75 x 125-mm uniform cross section that are joined by the simple glued scarf splice shown.1. Calculate the normal stress in the glue, in MPa.2. Calculate the shear stress in the glue, in MPa.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license