
Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 19.4, Problem 4RP
The wheel having a mass of 100 kg and a radius of gyration about the z axis of kz = 300 mm, rests on the smooth horizontal plane. If the belt is subjected to a force of P = 200 N , determine the angular velocity of the wheel and the speed of its center of mass O , three seconds after the force is applied.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A piston-cylinder device initially contains 0.08 m^3 of nitrogen gas at 130
kPa and 170°C. The nitrogen is expanded to a pressure of 80 kPa via
isentropic expansion. Determine the final temperature and the boundary
work done by the system during this process.
A Carnot (ideal) heat pump is to be used to heat a house and maintain it at 22°C
in winter. On a day when the average outdoor temperature remains at about 0°C,
the house is estimated to lose heat at a rate of 65,000 kJ/h. If the heat pump
consumes 6 kW of power while operating, determine:
(a) how long the heat pump ran on that day
(b) the total heating costs, assuming an average price of 11¢/kWh for electricity
(c) the heating cost for the same day if an 85% efficient electric furnace is used
instead of a heat pump.
From the information in the image, I needed to find the orientation of U relative to Q in vector basis q_hat. I transformed the euler angle/axis representation to euler parameters. Then I got its conjugate in order to get the euler parameter in N frame relative to Q. The problem gave the euler angle/axis representation in Q frame relative to N, so I needed to find the conjugate. Then I used the euler parameter rule of successive rotation to find the final euler parameters that describe the orientation of U relative to Q. However that orientation is in n_hat which is the intermediate frame. How do I get the final result in q_hat?
Chapter 19 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 19.2 - Determine the angular momentum of the 100-kg disk...Ch. 19.2 - Determine the angular impulse about point O for t...Ch. 19.2 - If it is subjected to a couple moment of M = (3t2)...Ch. 19.2 - The 300-kg wheel has a rad1us of gyration about...Ch. 19.2 - If rod OA of negligible mass is subjected lo the...Ch. 19.2 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19.2 - The 50-kg spool is subjected to a horizontal force...Ch. 19.2 - The reel has a weight of 150 lb and a radius of...Ch. 19.2 - The rigid body (slab) has a mass m and rotates...Ch. 19.2 - At a given Instant, the body has a linear momentum...
Ch. 19.2 - Show that if a slab is rotating about a fixed axis...Ch. 19.2 - The 40-kg disk is rotating at = 100 rad/s. When...Ch. 19.2 - The Impact wrench cons1sts of a slender 1-kg rod...Ch. 19.2 - The airplane is traveling in a straight line with...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The assembly weighs 10 lb and has a radius of...Ch. 19.2 - The disk has a weight of 10 lb and is pinned at...Ch. 19.2 - The 30-kg gear A has a radius of gyration about...Ch. 19.2 - Determine the angular velocity of the pulley when...Ch. 19.2 - The 40-kg roll of paper rests along the wall where...Ch. 19.2 - The slender rod has a mass m and is suspended at...Ch. 19.2 - The rod of length L and mass m lies on a smooth...Ch. 19.2 - A 4-kg disk A is mounted on arm BC. which has a...Ch. 19.2 - The frame of a tandem drum roller has a weight of...Ch. 19.2 - The 100-lb wheel has a radius of gyration of kG =...Ch. 19.2 - The 4-kg slender rod rests on a smooth floor If it...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The 100-kg spool is resting on the inclined...Ch. 19.2 - The spool has a weight of 30 lb and a radius of...Ch. 19.2 - The two gears A and B have weights and radii of...Ch. 19.2 - The hoop (thin ring) has a mass of 5 kg and is...Ch. 19.2 - The 30-kg gear is subjected to a force of P =...Ch. 19.2 - The 30-lb flywheel A has a radius of gyration...Ch. 19.2 - If the shaft is subjected to a torque of M = (...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The crate has a mass mc. Determine the constant...Ch. 19.4 - The turntable T of a record player has a mass of...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - The circular disk has a mass m and is suspended at...Ch. 19.4 - The 80-kg man is holding two dumbbells while...Ch. 19.4 - The platform swing consists of a 200-lb flat plate...Ch. 19.4 - The 2-kg rod ACB supports the two 4-kg disks at...Ch. 19.4 - The satellite has a mass of 200 kg and a radius of...Ch. 19.4 - Disk A has a weight of 20 lb. An inextensible...Ch. 19.4 - The plank has a weight of 30 lb, center of gravity...Ch. 19.4 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19.4 - A thin rod of mass m has an angular velocity o...Ch. 19.4 - Tests of impact on the fixed crash dummy are...Ch. 19.4 - The vertical shaft is rotating with an angular...Ch. 19.4 - The mass center of the 3-lb ball h3s a velocity of...Ch. 19.4 - Prob. 44PCh. 19.4 - The 10-lb block is sliding on the smooth surface...Ch. 19.4 - Determine the height hat which a billiard ball of...Ch. 19.4 - The pendulum consists of a 15-kg solid ball and...Ch. 19.4 - The 4-lb rod AB is hanging in the vertical...Ch. 19.4 - Determine the largest angular velocity 1 the disk...Ch. 19.4 - The solid ball of mass m is dropped with a...Ch. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - The rod of mass m and length L is released from...Ch. 19.4 - Prob. 55PCh. 19.4 - A ball having a mass of 8 kg and initial speed of...Ch. 19.4 - A solid ball with a mass m is thrown on the ground...Ch. 19.4 - The pendulum consists of a 10-lb solid ball and...Ch. 19.4 - The cable is subjected to a force of P = (10t2)...Ch. 19.4 - The space capsule has a mass of 1200 kg and a...Ch. 19.4 - The tire has a mass of 9 kg and a rad1us of...Ch. 19.4 - The wheel having a mass of 100 kg and a radius of...Ch. 19.4 - The spool has a weight of 30 lb and a radius of...Ch. 19.4 - Spool B is at rest and spool A is rotating at 6...Ch. 19.4 - A thin disk of mass m has an angular velocity 1...Ch. 19.4 - Prob. 8RP
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
- A proposed method of power generation involves collecting and storing solar energy in large artificial lakes a few meters deep, called solar ponds. Solar energy is absorbed by all parts of the pond, and the water temperature rises everywhere. The top part of the pond, however, loses much of the heat it absorbs to the atmosphere, and as a result, the cool surface water serves as insulation for the bottom part of the pond and helps trap the energy there. Usually, salt is planted at the bottom of the pond to prevent the rise of this hot water to the top. A heat engine that uses an organic fluid, such as alcohol, as the working fluid can be operated between the top and the bottom portions of the pond. If the water temperature is 27°C near the surface and 72°C near the bottom of the pond, determine the maximum thermal efficiency that this power plant can have. Treat the cycle as an ideal heat engine. Would a heat engine operating under these temperature conditions (27°C and 72°C) be…arrow_forwardA standard Carnot heat engine cycle is executed in a closed system between the temperature limits of 320 and 1350 K, with air as the working fluid. The pressures before and after the isothermal compression are 150 and 300 kPa, respectively. Sketch the TS diagram for this cycle. If the net work output per cycle is 0.75 kJ, determine the efficiency of the cycle and the heat transfer to the air (working fluid) per cycle.arrow_forwardPROBLEM 10: A sleeve in the form of a circular tube of length L is Nut placed around a bolt and fitted between washers at each end. The nut is then turned until it is just snug. Use material properties as follows: For the sleeve, as = 21 x 106/°C and Es = 100 GPa Washer Bolt ·L· Sleeve Bolt head For the bolt, αB = 10 × 10-6/°C and EB = 200 GPa. 1. Calculate the temperature rise that is required to produce a compressive stress of 25 MPa in the sleeve.arrow_forward
- This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F = 1.100 kN, P = 8.00 kN, and T = 50.00 N·m. Given: Sy = 280 MPa. B -100 mm- 15-mm D. a) What is the value of the axial stress at point A? b)What is the value of the shear stress at point A? c)Determine the value of the Von Mises stress at point A. P Farrow_forwardThe three steel wires, each of cross-sectional area 0.05 in2, support the weight W. Theirunstressed lengths are 74.98 ft, 74.99 ft, and 75.00 ft. Use E = 29 x 106 psi.1. Find the stress (psi) in the longest wire if W = 1500 lb.2. Determine the stress in the shortest wire if W = 500 lb ANSWERS: 6130 psi; 6930 psiarrow_forward1: The concrete column is reinforced using four steel reinforcing rods, each having a diameter of 18 mm. Determine the stress in the concrete and the steel if the column is subjected to an axial load of 800 kN. Est = 200 GPa, Ec = 25 GPa. Complete fbd.arrow_forward
- 5: As shown, two aluminum rods AB and BC, hinged to rigid supports, arepinned together at B to carry a vertical load P = 6000 lb. If each rod has a crosssectional area of 0.60 in2 and E = 10 x 106 psi. Use α = θ = 30⁰. Calculate the change in length (in) of rod AB and indicate if it elongates orshortens. Calculate the vertical displacement of B (in) and horizontal displacement of B (in). Complete fbd.arrow_forward2: The rigid bar supports the uniform distributedload of 6 kip/ft. Determine the force in each cable if each cable has a cross-sectional area of 0.05 in^2 , and E = 31(10)^3 ksi.arrow_forwardIn (Figure 1), take m₁ = 4 kg and mB = 4.6 kg. Determine the z component of the angular momentum Ho of particle A about point O. Determine the z component of the angular momentum Ho of particle B about point O. Suppose that 5 m 8 m/s 4 m 1.5 m 4 m B MB 1 m 2 m 5 30° 6 m/s MAarrow_forward
- The two disks A and B have a mass of 4 kg and 6 kg, respectively. They collide with the initial velocities shown. The coefficient of restitution is e = 0.75. Suppose that (VA)1 = 6 m/s, (VB)₁ = 7 m/s. (Figure 1) Determine the magnitude of the velocity of A just after impact. Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis. Determine the magnitude of the velocity of B just after impact. Determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis. (VB)1 B (VA)1 60° Line of impactarrow_forwardA hot plane surface is maintained at 100°C, and it is exposed to air at 25°C.The combined heat transfer coefficient between the surface and the air is 25W/m²·K. (same as above). In this task, you are asked to design fins to cool asurface by attaching 3 cm-long, 0.25 cm-diameter aluminum pin fins (thermalconductivity, k = 237 W/m·K) with a center-to-center distance of 0.6 cm. (Tip:do not correct the length). Determine the rate of heat transfer from thefinned structure to the air for a 1 m x 1 m section of the plate.arrow_forwardHeat is generated uniformly in a 4 cm-diameter, 16-cm long solid bar (k=2.4 W/m-K). The temperaturesat the center and at the surface of the bar are measured to be 210 oC and 45 oC, respectively. Calculatethe rate of heat generation within the bar. Solve the relevant energy balance equation and the boundaryconditions to calculate the rate of heat generation within the bar. (6 pts)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 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