Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
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
Question
Chapter 17.1, Problem 17.4CQ
To determine
Compare the speeds of the center of gravity for two cases.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
2 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.
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.
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]
Chapter 17 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.2CQCh. 17.1 - Prob. 17.3CQCh. 17.1 - Prob. 17.4CQCh. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Prob. 17.3PCh. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - The flywheel of a punching machine has a weight of...
Ch. 17.1 - Prob. 17.6PCh. 17.1 - Prob. 17.7PCh. 17.1 - Prob. 17.8PCh. 17.1 - The 10-in.-radius brake drum is attached to a...Ch. 17.1 - Prob. 17.10PCh. 17.1 - Each of the gears A and B has a mass of 10 kg and...Ch. 17.1 - Solve Prob. 17.11, assuming that the 6 Nm couple...Ch. 17.1 - Prob. 17.13PCh. 17.1 - The double pulley shown has a mass of 15 kg and a...Ch. 17.1 - Gear A has a mass of 1 kg and a radius of gyration...Ch. 17.1 - A slender rod of length l and mass m is pivoted...Ch. 17.1 - The 15-kg rear hatch of a vehicle opens as shown...Ch. 17.1 - A slender 9-lb rod can rotate in a vertical plane...Ch. 17.1 - An adapted golf device attaches to a wheelchair to...Ch. 17.1 - A 10-kg storm window measuring 900 1500 mm is...Ch. 17.1 - A collar with a mass of 1 kg is rigidly attached...Ch. 17.1 - A collar with a mass of 1 kg is rigidly attached...Ch. 17.1 - Two identical slender rods AB and BC are welded...Ch. 17.1 - Prob. 17.24PCh. 17.1 - A 100-kg solid cylindrical disk, 800 mm in...Ch. 17.1 - Prob. 17.26PCh. 17.1 - Greek engineers had the unenviable task of moving...Ch. 17.1 - A small sphere of mass m and radius r is released...Ch. 17.1 - Prob. 17.29PCh. 17.1 - A half-cylinder with mass m and radius r is...Ch. 17.1 - Prob. 17.31PCh. 17.1 - Two uniform cylinders, each of weight W = 14 lb...Ch. 17.1 - Prob. 17.33PCh. 17.1 - A bar of mass m = 5 kg is held as shown between...Ch. 17.1 - The 1.5-kg uniform slender bar AB is connected to...Ch. 17.1 - The motion of the uniform rod AB is guided by...Ch. 17.1 - Prob. 17.37PCh. 17.1 - Prob. 17.38PCh. 17.1 - The ends of a 9-lb rod AB are constrained to move...Ch. 17.1 - The mechanism shown is one of two identical...Ch. 17.1 - The mechanism shown is one of two identical...Ch. 17.1 - Each of the two rods shown is of length L = 1 m...Ch. 17.1 - The 4-kg rod AB is attached to a collar of...Ch. 17.1 - If in Prob. 17.43 the angular velocity of the...Ch. 17.1 - The uniform rods AB and BC are of mass 3 kg and 8...Ch. 17.1 - The uniform rods AB and BC weigh 2.4 kg and 4 kg,...Ch. 17.1 - The 80-mm-radius gear shown has a mass of 5 kg and...Ch. 17.1 - Prob. 17.48PCh. 17.1 - Three shafts and four gears are used to form a...Ch. 17.1 - The experimental setup shown is used to measure...Ch. 17.1 - Prob. 17.51PCh. 17.2 - The 350-kg flywheel of a small hoisting engine has...Ch. 17.2 - Prob. 17.2IMDCh. 17.2 - Prob. 17.3IMDCh. 17.2 - Prob. 17.52PCh. 17.2 - A bolt located 2 in. from the center of an...Ch. 17.2 - A small grinding wheel is attached to the shaft of...Ch. 17.2 - A uniform 144-lb cube is attached to a uniform...Ch. 17.2 - Prob. 17.56PCh. 17.2 - Prob. 17.57PCh. 17.2 - Prob. 17.58PCh. 17.2 - Prob. 17.59PCh. 17.2 - Each of the double pulleys shown has a centroidal...Ch. 17.2 - Each of the gears A and B has a mass of 675 g and...Ch. 17.2 - Two identical uniform cylinders of mass m and...Ch. 17.2 - Two identical 16-lb uniform cylinders of radius r...Ch. 17.2 - Prob. 17.64PCh. 17.2 - Prob. 17.65PCh. 17.2 - Show that, when a rigid body rotates about a fixed...Ch. 17.2 - Prob. 17.68PCh. 17.2 - A flywheel is rigidly attached to a 1.5-in.-radius...Ch. 17.2 - A wheel of radius r and centroidal radius of...Ch. 17.2 - Prob. 17.71PCh. 17.2 - 17.72 and 17.73The 3-lb carriage C is supported as...Ch. 17.2 - Prob. 17.73PCh. 17.2 - Two uniform cylinders, each of mass m = 6 kg and...Ch. 17.2 - Prob. 17.75PCh. 17.2 - Prob. 17.76PCh. 17.2 - A sphere of radius r and mass m is projected along...Ch. 17.2 - A bowler projects an 8.5-in.-diameter ball...Ch. 17.2 - Prob. 17.79PCh. 17.2 - A satellite has a total weight (on Earth) of 250...Ch. 17.2 - Two 10-lb disks and a small motor are mounted on a...Ch. 17.2 - Prob. 17.82PCh. 17.2 - Prob. 17.83PCh. 17.2 - Prob. 17.84PCh. 17.2 - Prob. 17.85PCh. 17.2 - Prob. 17.86PCh. 17.2 - The 30-kg uniform disk A and the bar BC are at...Ch. 17.2 - Prob. 17.88PCh. 17.2 - A 1.8-kg collar A and a 0.7-kg collar B can slide...Ch. 17.2 - Prob. 17.90PCh. 17.2 - A small 4-lb collar C can slide freely on a thin...Ch. 17.2 - Rod AB has a weight of 6 lb and is attached to a...Ch. 17.2 - A 3-kg uniform cylinder A can roll without sliding...Ch. 17.2 - The 4-kg cylinder B and the 3-kg wedge A are at...Ch. 17.2 - The 6-lb steel cylinder A of radius r and the...Ch. 17.3 - A uniform slender rod AB of mass m is at rest on a...Ch. 17.3 - Prob. 17.5IMDCh. 17.3 - Prob. 17.6IMDCh. 17.3 - At what height h above its center G should a...Ch. 17.3 - A bullet weighing 0.08 lb is fired with a...Ch. 17.3 - In Prob. 17.97, determine (a) the required...Ch. 17.3 - A 16-lb wooden panel is suspended from a pin...Ch. 17.3 - Prob. 17.100PCh. 17.3 - A 45-g bullet is fired with a velocity of 400 m/s...Ch. 17.3 - A 45-g bullet is fired with a velocity of 400 m/s...Ch. 17.3 - The tire shown has a radius R = 300 mm and a...Ch. 17.3 - Prob. 17.104PCh. 17.3 - A uniform slender rod AB of mass m is at rest on a...Ch. 17.3 - A uniform slender rod AB is at rest on a...Ch. 17.3 - A bullet of mass m is fired with a horizontal...Ch. 17.3 - Determine the height h at which the bullet of...Ch. 17.3 - A uniform slender bar of length L = 200 mm and...Ch. 17.3 - A uniform slender rod of length L is dropped onto...Ch. 17.3 - A uniform slender rod AB has a mass m, a length L,...Ch. 17.3 - You have been hired to design a baseball catcher...Ch. 17.3 - The trapeze/lanyard air drop (t/LAD) launch is a...Ch. 17.3 - The uniform rectangular block shown is moving...Ch. 17.3 - The 40-kg gymnast drops from her maximum height of...Ch. 17.3 - A uniform slender rod AB of length L = 600 mm is...Ch. 17.3 - Prob. 17.118PCh. 17.3 - A 1-oz bullet is fired with a horizontal velocity...Ch. 17.3 - For the beam of Prob. 17.119, determine the...Ch. 17.3 - Prob. 17.121PCh. 17.3 - Prob. 17.122PCh. 17.3 - A slender rod AB is released from rest in the...Ch. 17.3 - Prob. 17.124PCh. 17.3 - Block A has a mass m and is attached to a cord...Ch. 17.3 - Prob. 17.126PCh. 17.3 - 17.127 and 17.128Member ABC has a mass of 2.4 kg...Ch. 17.3 - 17.127 and 17.128Member ABC has a mass of 2.4 kg...Ch. 17.3 - Prob. 17.129PCh. 17.3 - Prob. 17.130PCh. 17.3 - A small rubber ball of radius r is thrown against...Ch. 17.3 - Sphere A of mass m and radius r rolls without...Ch. 17.3 - In a game of pool, ball A is rolling without...Ch. 17 - A uniform disk, initially at rest and of constant...Ch. 17 - The 8-in.-radius brake drum is attached to a...Ch. 17 - A uniform slender rod is placed at corner B and is...Ch. 17 - The motion of the slender 250-mm rod AB is guided...Ch. 17 - A baseball attachment that helps people with...Ch. 17 - Disks A and B are made of the same material, are...Ch. 17 - Disks A and B are made of the same material, are...
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
- 4. 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_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_forward
- Q2. 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_forwardIt is required to treat 130 kmol/hr of chloroform-air feed gas mixture that contains 12% chloroform. It is required to remove 93% of chloroform using 150 kmol/hr of solvent that contains 99.6% water and 0.4% chloroform. The cross sectional area of the column is 0.8 m². Calculate the column height using the following data; kx'.a = 1.35 (kmol/m³.s (Ax)), and ky'.a = 0.06 (kmol/m³.s (Ay)), kx/ky = 1.35, and the equilibrium data are: X 0 0.0133 0.033 y 0 0.01 0.0266 0.049 0.064 0.0747 0.0933 0.1053 0.0433 0.06 0.0733 0.111 0.1 0.12 0.14arrow_forward
- ४ B: Find the numerical solution for the 2D equation below and calculate the temperature values for each grid point shown in Fig. 2 (show all steps). (Do only one trail using following initial values and show the final matrix) [T1] T₂ T3 [T] 1 = [0] 0 0 d dx dx) (ka)+4(ka) = dy -20xy, k = 1 + 0.3 T ge L=3cm, 4x= Ay B.Cs.: at x=0=LT=0°C at y=0-L T=10°C Fig. (2)arrow_forward: +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardFor the beam show below, draw A.F.D, S.F.D, B.M.D 6 kN/m 1 M B. 3 M Marrow_forward
- 1. Two long rods of the same diameter-one made of brass (k=85w/m.k) and the other made of copper (k=375 w/m.k) have one of their ends inserted into a furnace (as shown in the following figure). Both rods are exposed to the same environment. At a distance of 105 mm from the furnace, the temperature of the brass rod is 120°C. At what distance from the furnace will the same temperature be reached in the copper rod? Furnace 105 mm T₁ Brass rod ⑪ h Too- x2- Ti Copper rodarrow_forward: +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardمشر on ۲/۱ Two rods (fins) having same dimensions, one made of brass(k=85 m K) and the other of copper (k = 375 W/m K), having one of their ends inserted into a furnace. At a section 10.5 cm a way from the furnace, the temperature brass rod 120°C. Find the distance at which the same temperature would be reached in the copper rod ? both ends are exposed to the same environment. 22.05 ofthearrow_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY