Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4.3, Problem 4.102P
PROBLEM 4.102
For the pipe assembly of Problem 4.101, determine (a) the largest permissible value of a if the assembly is not to tip, (b) the corresponding tension in each wire.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3.
9.
10.
The centrifugal tension in belts
(a) increases power transmitted
(b) decreases power transmitted
(c) have no effect on the power transmitted
(d) increases power transmitted upto a certain speed and then decreases
When the belt is stationary, it is subjected to some tension, known as initial tension. The value of this
tension is equal to the
(a) tension in the tight side of the belt
(b) tension in the slack side of the belt
(c) sum of the tensions in the tight side and slack side of the belt
(d) average tension of the tight side and slack side of the belt
The relation between the pitch of the chain (p) and pitch circle diameter of the sprocket (d) is given by
60°
(a) p=d sin
(c) p=d sin
(120°
T
where T Number of teeth on the sprocket.
90°
(b) p=d sin
T
180°
(d) p=d sin
T
OBJECTIVE TYPE QUESTIONS
1.
The maximum fluctuation of energy is the
2.
(a) sum of maximum and minimum energies
(b) difference between the maximum and minimum energies
(c) ratio of the maximum energy and minimum energy
(d) ratio of the mean resisting torque to the work done per cycle
In a turning moment diagram, the variations of energy above and below the mean resisting torque line
is called
(a) fluctuation of energy
(b) maximum fluctuation of energy
(c) coefficient of fluctuation of energy
(d) none of the above
Chapter 16: Turning Moment Diagrams and Flywheel 611
The ratio of the maximum fluctuation of speed to the mean speed is called
3.
(a) fluctuation of speed
(c) coefficient of fluctuation of speed
4.
(b) maximum fluctuation of speed
(a) none of these
The ratio of the maximum fluctuation of energy to the.......... is called coefficient of fluctuation of
energy.
(a) minimum fluctuation of energy
(b) work done per cycle
The maximum fluctuation of energy in a flywheel is equal to
5.…
OBJECTIVE TYPE QUESTIONS
1.
The velocity ratio of two pulleys connected by an open belt or crossed belt is
2.
(a) directly proportional to their diameters
(b) inversely proportional to their diameters
(c) directly proportional to the square of their diameters
(d) inversely proportional to the square of their diameters
Two pulleys of diameters d, and d, and at distance x apart are connected by means of an open belt
drive. The length of the belt is
(a)(d+d₁)+2x+
(d₁+d₂)²
4x
(b)(d₁-d₂)+2x+
(d₁-d₂)²
4x
(c)(d₁+d₂)+ +2x+
(d₁-d₂)²
4x
(d)(d-d₂)+2x+
(d₁ +d₂)²
4x
3.
In a cone pulley, if the sum of radii of the pulleys on the driving and driven shafts is constant, then
(a) open belt drive is recommended
(b) cross belt drive is recommended
(c) both open belt drive and cross belt drive are recommended
(d) the drive is recommended depending upon the torque transmitted
Due to slip of the belt, the velocity ratio of the belt drive
4.
(a) decreases
5.
(b) increases
(c) does not change
When two pulleys…
Chapter 4 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 4.1 - Two crates, each of mass 350 kg, are placed as...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - A light rod AD is supported by frictionless pegs...Ch. 4.1 - A tension of 20 N is maintained in a tape as it...Ch. 4.1 - A gardener uses a 60 N wheelbarrow to transport a...Ch. 4.1 - The gardener of Prob. 4.1 wishes to transport a...Ch. 4.1 - A 2100-lb tractor is used to lift 900 lb of grave....Ch. 4.1 - For the beam and loading shown, determine (a) the...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...
Ch. 4.1 - Prob. 4.7PCh. 4.1 - Prob. 4.8PCh. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - Prob. 4.10PCh. 4.1 - Prob. 4.11PCh. 4.1 - For the beam of Sample Prob. 4.2, determine the...Ch. 4.1 - The maximum allowable value of each of the...Ch. 4.1 - For the beam and loading shown, determine the...Ch. 4.1 - 4.15 Two links AB and DE are connected by a bell...Ch. 4.1 - Prob. 4.16PCh. 4.1 - 4.17 The required tension in cable AB is 200 lb....Ch. 4.1 - Prob. 4.18PCh. 4.1 - The bracket BCD is hinged at C and attached to a...Ch. 4.1 - The ladder AB, of length L and weight W, can be...Ch. 4.1 - 4.21 The 40-ft boom AB weighs 2 kips; the distance...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - Prob. 4.24PCh. 4.1 - A rod AB, hinged at A and attached at B to cable...Ch. 4.1 - Prob. 4.26PCh. 4.1 - Prob. 4.27PCh. 4.1 - Determine the reactions at A and C when (a) = 0,...Ch. 4.1 - Prob. 4.29PCh. 4.1 - Prob. 4.30PCh. 4.1 - Neglecting friction, determine the tension in...Ch. 4.1 - Fig. P4.31 and P4.32 4.32 Neglecting friction,...Ch. 4.1 - PROBLEM 4.33 A force P of magnitude 90 lb is...Ch. 4.1 - PROBLEM 4.34 Solve Problem 4,33 for a = 6 in,...Ch. 4.1 - Prob. 4.35PCh. 4.1 - PROBLEM 4.36 A light bar AD is suspended from a...Ch. 4.1 - Prob. 4.37PCh. 4.1 - Prob. 4.38PCh. 4.1 - Prob. 4.39PCh. 4.1 - Prob. 4.40PCh. 4.1 - Prob. 4.41PCh. 4.1 - Prob. 4.42PCh. 4.1 - The rig shown consists of a 1200-lb horizontal...Ch. 4.1 - Fig. P4.43 4.44 For the rig and crate of Prob....Ch. 4.1 - Prob. 4.45PCh. 4.1 - Knowing that the tension in wire BD is 1300 N,...Ch. 4.1 - Prob. 4.47PCh. 4.1 - Beam AD carries the two 40-lb loads shown. The...Ch. 4.1 - Fig. P4.48 and P4.49 4.49 For the beam and loading...Ch. 4.1 - Prob. 4.50PCh. 4.1 - A uniform rod AB with a length of l and weight of...Ch. 4.1 - Rod AD is acted upon by a vertical force P at end...Ch. 4.1 - A slender rod AB with a weigh of W is attached to...Ch. 4.1 - 4.54 and 4.55 A vertical load P is applied at end...Ch. 4.1 - 4.54 and 4.55 A vertical load P is applied at end...Ch. 4.1 - A collar B with a weight of W can move freely...Ch. 4.1 - A 400-lb weight is attached at A to the lever...Ch. 4.1 - Prob. 4.58PCh. 4.1 - Prob. 4.59PCh. 4.1 - Prob. 4.60PCh. 4.2 - A 500-lb cylindrical tank, 8 ft in diameter, is to...Ch. 4.2 - 4.62 Determine the reactions at A and B when a =...Ch. 4.2 - Prob. 4.63PCh. 4.2 - Prob. 4.64PCh. 4.2 - Determine the reactions at B and C when a = 30 mm.Ch. 4.2 - Prob. 4.66PCh. 4.2 - Determine the reactions at B and D when b = 60 mm....Ch. 4.2 - For the frame and loading shown, determine the...Ch. 4.2 - A 50-kg crate is attached to the trolley-beam...Ch. 4.2 - One end of rod AB rests in the corner A and the...Ch. 4.2 - For the boom and loading shown, determine (a) the...Ch. 4.2 - Prob. 4.72PCh. 4.2 - Prob. 4.73PCh. 4.2 - Prob. 4.74PCh. 4.2 - Rod AB is supported by a pin and bracket at A and...Ch. 4.2 - Solve Prob. 4.75, assuming that the 170-N force...Ch. 4.2 - Prob. 4.77PCh. 4.2 - Using the method of Sec. 4.2B, solve Prob. 4.22....Ch. 4.2 - Knowing that = 30, determine the reaction (a) at...Ch. 4.2 - Knowing that = 60, determine the reaction (a) at...Ch. 4.2 - Determine the reactions at A and B when = 50....Ch. 4.2 - Determine the reactions at A and B when = 80.Ch. 4.2 - Rod AB is bent into the shape of an arc of circle...Ch. 4.2 - A slender rod of length L is attached to collars...Ch. 4.2 - An 8-kg slender rod of length L is attached to...Ch. 4.2 - Prob. 4.86PCh. 4.2 - A slender rod BC with a length of L and weight W...Ch. 4.2 - A thin ring with a mass of 2 kg and radius r = 140...Ch. 4.2 - A slender rod with a length of L and weight W is...Ch. 4.2 - Fig. P4.89 4.90 Knowing that for the rod of Prob....Ch. 4.3 - Two tape spools are attached to an axle supported...Ch. 4.3 - Prob. 4.6FBPCh. 4.3 - A 20-kg cover for a roof opening is hinged at...Ch. 4.3 - Prob. 4.91PCh. 4.3 - Prob. 4.92PCh. 4.3 - A small winch is used to raise a 120-lb load. Find...Ch. 4.3 - Prob. 4.94PCh. 4.3 - A 250 400-mm plate of mass 12 kg and a...Ch. 4.3 - Prob. 4.96PCh. 4.3 - Prob. 4.97PCh. 4.3 - Prob. 4.98PCh. 4.3 - Prob. 4.99PCh. 4.3 - Prob. 4.100PCh. 4.3 - PROBLEM 4.101 Two steel pipes AB and BC, each...Ch. 4.3 - PROBLEM 4.102 For the pipe assembly of Problem...Ch. 4.3 - PROBLEM 4.103 The 24-lb square plate shown is...Ch. 4.3 - PROBLEM 4.104 The table shown weighs 30 lb and has...Ch. 4.3 - PROBLEM 4.105 A 10-ft boom is acted upon by the...Ch. 4.3 - PROBLEM 4.106 The 6-m pole ABC is acted upon by a...Ch. 4.3 - PROBLEM 4.107 Solve Problem 4.106 for a = 1.5 m....Ch. 4.3 - Prob. 4.108PCh. 4.3 - Prob. 4.109PCh. 4.3 - Prob. 4.110PCh. 4.3 - PROBLEM 4.111 A 48-in. boom is held by a...Ch. 4.3 - PROBLEM 4.112 Solve Problem 4.111, assuming that...Ch. 4.3 - PROBLEM 4.114 The bent rod ABEF is supported by...Ch. 4.3 - The bent rod ABEF is supported by bearings at C...Ch. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - Prob. 4.116PCh. 4.3 - Prob. 4.117PCh. 4.3 - Solve Prob. 4.117, assuming that cable DCE is...Ch. 4.3 - PROBLEM 4.119 Solve Prob. 4.113, assuming that the...Ch. 4.3 - PROBLEM 4.120 Solve Prob. 4.115, assuming that the...Ch. 4.3 - PROBLEM 4.121 The assembly shown is used to...Ch. 4.3 - Prob. 4.122PCh. 4.3 - Prob. 4.123PCh. 4.3 - Prob. 4.124PCh. 4.3 - Prob. 4.125PCh. 4.3 - Prob. 4.126PCh. 4.3 - Prob. 4.127PCh. 4.3 - Prob. 4.128PCh. 4.3 - Frame ABCD is supported by a ball-and-socket joint...Ch. 4.3 - Prob. 4.130PCh. 4.3 - The assembly shown consists of an 80-mm rod AF...Ch. 4.3 - Prob. 4.132PCh. 4.3 - The frame ACD is supported by ball-and-socket...Ch. 4.3 - Prob. 4.134PCh. 4.3 - Prob. 4.135PCh. 4.3 - Prob. 4.136PCh. 4.3 - Prob. 4.137PCh. 4.3 - Prob. 4.138PCh. 4.3 - Prob. 4.139PCh. 4.3 - Prob. 4.140PCh. 4.3 - Prob. 4.141PCh. 4 - Prob. 4.142RPCh. 4 - 4. 143 The lever BCD is hinged at C and attached...Ch. 4 - Prob. 4.144RPCh. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - Prob. 4.146RPCh. 4 - PROBLEM 4.147 A slender rod AB, of weight W, is...Ch. 4 - PROBLEM 4.148 Determine the reactions at A and B...Ch. 4 - Prob. 4.149RPCh. 4 - PROBLEM 4.150 A 200-mm lever and a 240-mm-diameter...Ch. 4 - Prob. 4.151RPCh. 4 - Prob. 4.152RPCh. 4 - A force P is applied to a bent rod ABC, which may...
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
- Q3: (10 MARKS) A piston with a weight of 29.4 N is supported by a spring and dashpot. A dashpot of damping coefficient c = 275 N.s/m acts in parallel with the spring of stiffness k = 2400 N/m. A fluctuating pressure p = 960 sin 30t N/m² acts on the piston, whose top surface area is 0.05 m². Determine the steady-state displacement as a function of time and the maximum force transmitted to the base. P=Po sin cot Warrow_forward9. Design a spur gear drive required to transmit 45 kW at a pinion speed of 800 r.p.m. The velocity ratio is 3.5 : 1. The teeth are 20° full-depth involute with 18 teeth on the pinion. Both the pinion and gear are made of steel with a maximum safe static stress of 180 MPa. Assume a safe stress of 40 MPa for the material of the shaft and key. 10. Design a pair of spur gears with stub teeth to transmit 55 kW from a 175 mm pinion running at 2500 r.p.m. to a gear running at 1500 r.p.m. Both the gears are made of steel having B.H.N. 260. Approximate the pitch by means of Lewis equation and then adjust the dimensions to keep within the limits set by the dynamic load and wear equation.arrow_forward7. A motor shaft rotating at 1440 r.p.m. has to transmit 15 kW to a low speed shaft rotating at 500 r.p.m. The teeth are 20° involute with 25 teeth on the pinion. Both the pinion and gear are made of cast iron with a maximum safe stress of 56 MPa. A safe stress of 35 MPa may be taken for the shaft on which the gear is mounted. Design and sketch the spur gear drive to suit the above conditions. The starting torque may be assumed as 1,25 times the running torque. Ruins 20 LW at 100 nm to another shaft running approxiarrow_forward
- 6. A two stage reduction drive is to be designed to transmit 2 kW; the input speed being 960 r.p.m. and overall reduction ratio being 9. The drive consists of straight tooth spur gears only, the shafts being spaced 200 mm apart, the input and output shafts being co-axial.arrow_forward2 A metal block of mass m = 10 kg is sliding along a frictionless surface with an initial speed Vo, as indicated below. The block then slides above an electromagnetic brake that applies a force FEB to the block, opposing its motion. The magnitude of the electromagnetic force varies quadratically with the distance moved along the brake (x): 10 FEB = kx², with k = 5 N m² V₁ = 8 m/s m = 10 kg FEB Frictionless surface Electromagnetic brake ⇒x Determine how far the block slides along the electromagnetic brake before stopping, in m.arrow_forwardQ1: Determine the length, angle of contact, and width of a 9.75 mm thick leather belt required to transmit 15 kW from a motor running at 900 r.p.m. The diameter of the driving pulley of the motor is 300 mm. The driven pulley runs at 300 r.p.m. and the distance between the centers of two pulleys is 3 meters. The density of the leather is 1000 kg/m³. The maximum allowable stress in the leather is 2.5 MPa. The coefficient of friction between the leather and pulley is 0.3. Assume open belt drive.arrow_forward
- 5. A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having 20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day under light shock conditions, find from the standpoint of strength, 1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear. Check the gears thus designed from the consideration of wear. The surface endurance limit may be taken as 700 MPa. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 mm]arrow_forward4. G A micarta pinion rotating at 1200 r.p.m. is to transmit 1 kW to a cast iron gear at a speed of 192 r.p.m. Assuming a starting overload of 20% and using 20° full depth involute teeth, determine the module, number of teeth on the pinion and gear and face width. Take allowable static strength for micarta as 40 MPa and for cast iron as 53 MPa. Check the pair in wear.arrow_forwardI want to solve these choicesarrow_forward
- 2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 32: 1. The pressure angle is 14½. It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, design the smallest diameter gears and find also necessary face width. The number of teeth should not be less than 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105 MPa. Lewis factor for 14½½ pressure angle may be taken 0.684 0.124 y = No. of teeth as [Ans. m 3 mm; b= 35 mm; Dp = 48 mm; D= 168 mm]arrow_forwardQ2. Determine the safety factors for the bracket rod shown in Figure 2 based on both the distortion-energy theory and the maximum shear theory and compare them. Given: The material is 2024-T4 aluminum with a yield strength of 47 000 psi. The rod length /= 6 in. and arm a = 8 in. The rod outside diameter od 1.5 in., id = 1 in, h=2 in., t=0.5 in., Load F= 1000 lb. Assumptions: The load is static and the assembly is at room temperature. Consider shear due to transverse loading as well as other stresses. (Note: solve in SI units) wall tube Figure 2 armarrow_forwardThe question has been set up with all the cuts needed to accurately derive expressions for V(x) and M(x). Using the cuts free body diagrams set up below, derive expressions for V(x) and M(x). If you use the method of cuts then validate your answers using calculus or vice versa.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
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY