Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 17.5, Problem 112P
At this instant the center of gravity of the culvert and the man is located at point G, and the radius of gyration about G is kG = 3.5 ft. Determine the angular acceleration of the culvert. The combined weight of the culvert and the man is 500 lb. Assume that the culvert rolls without slipping, and the man does not move within the culvert.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
If the rods are made from a square section with the dimension as shown. Calculate the load
that will make point A move to the left by 6mm, E=228GPa.
2P-
P
A
80mm
B
200mm
2P
0.9m
1.3m
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.…
Chapter 17 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 17.1 - The rod's density end cross-sectional area. A are...Ch. 17.1 - Determine the mass of the cylinder end its moment...Ch. 17.1 - The nag has a mass m.Ch. 17.1 - Determine the radius of gyration kx. The density...Ch. 17.1 - The specific weight of the material is = 380...Ch. 17.1 - Determine the moment of inertia Iz and express the...Ch. 17.1 - Determine the moment of inertia Ix and express the...Ch. 17.1 - Defending the moment of inertia Iy and express the...Ch. 17.1 - Express the result in terms of the mass m of the...Ch. 17.1 - Determine me radius of gyration of the pendulum...
Ch. 17.1 - Determine the mass moment of inertia of the...Ch. 17.1 - Determine the moment of inertia of the solid steel...Ch. 17.1 - Determine the wheels moment of inertia about an...Ch. 17.1 - If the large ring, small ring and each of the...Ch. 17.1 - The thin plate has a hole in its center its...Ch. 17.1 - The material has a mass per unit area of 20 kg/m2.Ch. 17.1 - The block has a mass of 3 kg and the semicylinder...Ch. 17.1 - The block has a mass of 3 kg and the semicylinder...Ch. 17.1 - The material has a specific weight = 90 lb/ft3.Ch. 17.1 - Prob. 20PCh. 17.1 - Determine the location y of the center of mass G...Ch. 17.1 - The material is steel having a density of = 7.85...Ch. 17.1 - The material is steel having a density of = 7.85...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Determine the acceleration of the can and the...Ch. 17.3 - If the 80-kg cabinet is allowed to roll down the...Ch. 17.3 - Determine the maximum acceleration of the frame...Ch. 17.3 - Also what is the corresponding normal reaction on...Ch. 17.3 - Determine the tension developed in the rods and...Ch. 17.3 - If it is subjected to a couple moment M = 450 N ...Ch. 17.3 - Determine how far the door moves in 25, starting...Ch. 17.3 - Determine the constant force F that must be...Ch. 17.3 - Initially at take-off the engines provide a thrust...Ch. 17.3 - If it starts from rest it causes the rear wheels...Ch. 17.3 - If the winch at B draws in the cable with an...Ch. 17.3 - Determine the greatest acceleration of the...Ch. 17.3 - Determine the internal axial, shear, and...Ch. 17.3 - If the coefficient of kinetic friction between the...Ch. 17.3 - Determine the reactions at both the wheels at A...Ch. 17.3 - Also, what is the acceleration of the cart? The...Ch. 17.3 - If it is subjected to a horizontal force of P =...Ch. 17.3 - Determine its initial acceleration if a man pushes...Ch. 17.3 - Determine the initial acceleration of a desk when...Ch. 17.3 - Determine the maximum force P that can be applied...Ch. 17.3 - Determine the maximum force P that can be applied...Ch. 17.3 - If it is released from rest, determine the...Ch. 17.3 - It is carried on a truck as shown. Determine the...Ch. 17.3 - It is carried on a truck as shown. If the truck...Ch. 17.3 - Determine the smallest acceleration that will...Ch. 17.3 - The coefficients of static and kinetic friction...Ch. 17.3 - If the collar is given a constant acceleration of...Ch. 17.3 - If it is supported by the cable AB and hinge at C,...Ch. 17.3 - If it is supported by the cable AB and hinge at C,...Ch. 17.3 - If the acceleration is a = 20 ft/s2, determine the...Ch. 17.3 - If h = 3 ft, determine the snowmobiles maximum...Ch. 17.3 - If the carts mass is 30 kg and it is subjected to...Ch. 17.3 - The uniform rod BC has a mass of 15 kg.Ch. 17.3 - If the acceleration of the truck is at = 0.5 m/s2,...Ch. 17.3 - If the angle = 30, determine the acceleration of...Ch. 17.3 - Determine the largest initial angular acceleration...Ch. 17.3 - Determine the initial friction and normal force of...Ch. 17.3 - Determine the largest initial angular acceleration...Ch. 17.3 - Determine the normal force NE, shear force VE, and...Ch. 17.4 - If the wheel starts from rest determine its...Ch. 17.4 - Determine the angular velocity of the disk when t...Ch. 17.4 - Determine the tangential and normal components of...Ch. 17.4 - Determine the tangential and normal components or...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.4 - If the rod has a counterclockwise angular velocity...Ch. 17.4 - If the wheel is subjected to a moment M = (5t) N ...Ch. 17.4 - Determine its initial angular acceleration and the...Ch. 17.4 - If it is released from rest when = 0. determine...Ch. 17.4 - If it is released from rest in the position shown,...Ch. 17.4 - The reel rests on rollers at A and B and has a...Ch. 17.4 - The spring has a stiffness k = 5 lb ft/rad, so...Ch. 17.4 - The spring has a stiffness k = 5 lb ft/rad, so...Ch. 17.4 - If a force of F=(142)N, where is in radians, is...Ch. 17.4 - If no slipping occurs between them determine the...Ch. 17.4 - Show that IG may be eliminated by moving the...Ch. 17.4 - Treat the beam as a uniform slender rod.Ch. 17.4 - It consists of a 100-kg steel plate AC and a...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - Determine its angular velocity when t = 2 s...Ch. 17.4 - If it is placed on the ground for which the...Ch. 17.4 - Compute the time needed to unravel 5 m of cable...Ch. 17.4 - If the rotor always maintains a constant clockwise...Ch. 17.4 - It is originally spinning at = 40 rad/s. If it is...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - Disk E has a weight of 60 lb and is initially at...Ch. 17.4 - If the cylinders are released from rest, determine...Ch. 17.4 - If the pulley can be treated as a disk of mass 3...Ch. 17.4 - If the pulley can be treated as a disk of mass M,...Ch. 17.4 - Assume that the board is uniform and rigid, and...Ch. 17.4 - At the instant the rolor is horizontal it has an...Ch. 17.4 - Determine the initial tending moment at the fixed...Ch. 17.4 - Movement is controlled by the electromagnet E,...Ch. 17.4 - If it is rotating in the vertical plane at a...Ch. 17.4 - Determine the angular acceleration of the rod and...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.5 - If the powder burns at a constant rate of 20 g/s...Ch. 17.5 - Determine the acceleration of the bars mass center...Ch. 17.5 - Determine the acceleration of its mass center and...Ch. 17.5 - When the wheel is subjected to the couple moment,...Ch. 17.5 - Determine the angular acceleration of the sphere...Ch. 17.5 - If the couple moment is applied to the spool and...Ch. 17.5 - If the rod is released from rest at = 0,...Ch. 17.5 - rolls without slipping, show that when moments are...Ch. 17.5 - If it is initially at rest and is subjected to a...Ch. 17.5 - The uniform 150-lb beam is initially at rest when...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If a horizontal force of F = 80 N is applied to...Ch. 17.5 - If slipping does not occur, determine the rings...Ch. 17.5 - Neglect the thickness of the ring.Ch. 17.5 - Using a collar of negligible mass, its end A is...Ch. 17.5 - If the pin is connected to a track which is giver...Ch. 17.5 - Assume the roller to be a uniform cylinder and...Ch. 17.5 - Also, find the angular acceleration of the roller....Ch. 17.5 - Determine the bars initial angular acceleration...Ch. 17.5 - Solve Prob.17-106 if the roller is removed and the...Ch. 17.5 - If the coefficient of static friction at A is s, =...Ch. 17.5 - If the truck has an acceleration of 3 m/s2...Ch. 17.5 - A cord is wrapped around the periphery of the disk...Ch. 17.5 - If the coefficient of static friction at A is s =...Ch. 17.5 - At this instant the center of gravity of the...Ch. 17.5 - Determine the initial angular acceleration of the...Ch. 17.5 - Determine the time before it starts to roll...Ch. 17.5 - If they are released from rest determine the...Ch. 17.5 - Determine the normal force which the path exerts...Ch. 17.5 - If it is originally at rest while being supported...Ch. 17.5 - If the pin support at A suddenly fails, determine...Ch. 17.5 - Determine its angular acceleration.Ch. 17.5 - If the coefficient of kinetic friction between the...Ch. 17.5 - Determine the normal reactions at each of the...Ch. 17.5 - Determine the internal axial force Ex, shear force...Ch. 17.5 - Determine the maximum acceleration it can have if...Ch. 17.5 - The roil rest against a wall for which the...Ch. 17.5 - Determine the magnitude of force F and the initial...Ch. 17.5 - Compute the reaction at the pin O just after the...Ch. 17.5 - if the coefficient of kinetic friction at the...Ch. 17.5 - The coefficient of kinetic friction is A = 0.3.
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
- 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…arrow_forwardQ3: (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_forward
- 7. 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_forward6. 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_forward
- Q1: 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_forward5. 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_forward
- I want to solve these choicesarrow_forward2. 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_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
Mechanical Design (Machine Design) Clutches, Brakes and Flywheels Intro (S20 ME470 Class 15); Author: Professor Ted Diehl;https://www.youtube.com/watch?v=eMvbePrsT34;License: Standard Youtube License