PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 17, Problem 89P
The “Catherine wheel” is a firework that consists of a coned tube of powder which is pinned at its center. If the powder burns at a constant rate of 20 g/s such as that the exhaust gases always exert a force having a constant magnitude of 0.3 N, directed tangent to the wheel determine the angular velocity of the wheel when 75% of the mass is burned off initially, the wheel is at rest and has a mass of 100 g and a radius of r = 75 mm. For the calculation, consider the wheel to always be a thin disk.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Identify at least three causes that decrease the velocity of the rotating beam and the body undergoing circular motion.
5.m
0=18.e x 01-
o2 0 nlog tuods g ye A bod aniz
mO elgnigit enotedtoisv mumiem
0=.0xM-2.1 x3+2.1xT 0-M
Problem 7: The homogenous 10 kg body A of Fig.
below is moving to the right with a velocity of 6
m/sec. Determine the max. weight of body B may
have without causing A to tip.
Smooth 0.83
4 m
Rs
5. m
A2a.0 x (18\W=T-W
3 m
A
MS0.8S-W
= 0.2
When in the mode of adsorbing, the vertical shaft is rotating with an angular velocity of 3 rad/s at 0 = 0°.
When picking up trashes, a force F needs to be applied to the collar so that 0 = 90°. Help students
determine the angular velocity of the shaft at 0 = 90°. Also, find the work done by force F from 0 =
0° to 0 = 90°. Neglect the mass of rods GH and EF and the collars I and J. The rods AB and CD each have
a mass of 10 kg.
0.3 m
E
0.3 m
0.1 m
0.3 m
A
0.1 m
H
F
0
0.3 m
B
Chapter 17 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 17 - Determine the moment of inertia Iy for the slender...Ch. 17 - The solid cylinder has an outer radius R1 height...Ch. 17 - Determine the moment of inertia of the thin ring...Ch. 17 - Prob. 9PCh. 17 - The pendulum consists of a 4-kg circular plate and...Ch. 17 - Prob. 12PCh. 17 - The wheel consists of a thin ring having a mass of...Ch. 17 - If the large ring, small ring and each of the...Ch. 17 - Determine the moment of inertia about an axis...Ch. 17 - Prob. 16P
Ch. 17 - Determine the location y of the center of mass G...Ch. 17 - Prob. 18PCh. 17 - Prob. 19PCh. 17 - Determine the moment of inertia of the wheel about...Ch. 17 - The pendulum consists of the 3-kg slender rod and...Ch. 17 - Prob. 22PCh. 17 - Determine the moment of inertia of the overhung...Ch. 17 - Prob. 1FPCh. 17 - Prob. 2FPCh. 17 - Prob. 3FPCh. 17 - Prob. 4FPCh. 17 - At the instant shown both rods of negligible mass...Ch. 17 - Prob. 6FPCh. 17 - The door has a weight of 200 lb and a center of...Ch. 17 - The door has a weight or 200 lb and a center of...Ch. 17 - The jet aircraft has a total mass of 22 Mg and a...Ch. 17 - The sports car has a weight of 4500 lb and center...Ch. 17 - The bar has a weight per length w and is supported...Ch. 17 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17 - Prob. 44PCh. 17 - If the carts mass is 30 kg and it is subjected to...Ch. 17 - Prob. 50PCh. 17 - Prob. 53PCh. 17 - Prob. 54PCh. 17 - The 100-kg wheel has a radius of gyration about...Ch. 17 - Prob. 8FPCh. 17 - Prob. 9FPCh. 17 - Prob. 10FPCh. 17 - Prob. 11FPCh. 17 - Prob. 12FPCh. 17 - The 10-kg wheel has a radius of gyration kA = 200...Ch. 17 - The uniform 24-kg plate is released from rest at...Ch. 17 - The uniform slender rod has a mass m. If it is...Ch. 17 - The tent rod has a mass of 2 kg/m. If it is...Ch. 17 - Disk A has a weight of 5 lb and disk B has a...Ch. 17 - Prob. 66PCh. 17 - The reel of cable has a mass of 400 kg and a...Ch. 17 - Prob. 72PCh. 17 - Cable is unwound from a spool supported on small...Ch. 17 - The 5-kg cylinder is initially at rest when it is...Ch. 17 - Prob. 76PCh. 17 - Disk D turns with a constant clockwise angular...Ch. 17 - Prob. 78PCh. 17 - Prob. 81PCh. 17 - Prob. 85PCh. 17 - The Catherine wheel is a firework that consists of...Ch. 17 - The uniform 60-kg slender bar is initially at rest...Ch. 17 - Prob. 14FPCh. 17 - Prob. 15FPCh. 17 - The 20- kg sphere rolls down the inclined plane...Ch. 17 - The 200-kg spool has a radius of gyration about...Ch. 17 - The 12-kg slender rod is pinned to a small roller...Ch. 17 - If the disk in Fig. 17-19 rolls without slipping,...Ch. 17 - The uniform 150-lb beam is initially at rest when...Ch. 17 - The spool has a mass of 100 kg and a radius of...Ch. 17 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17 - The spool has a mass of 100 kg and a radius of...Ch. 17 - A force of F= 10 N is applied to the 10-kg ring as...Ch. 17 - If the coefficient of static friction at C is s =...Ch. 17 - If P = 30 lb, determine the angular acceleration...Ch. 17 - If the coefficient of static friction between the...Ch. 17 - The semicircular disk having a mass of 10 leg is...Ch. 17 - The circular concrete culvert rols with an angular...Ch. 17 - The uniform disk of mass m is rotating with an...Ch. 17 - The uniform disk of mass m is rotating with an...Ch. 17 - The uniform beam has a weight W. If it is...Ch. 17 - The 500-lb beam is supported at A and B when it is...Ch. 17 - Prob. 1RPCh. 17 - Prob. 2RPCh. 17 - Prob. 3RPCh. 17 - Prob. 4RPCh. 17 - Prob. 5RPCh. 17 - Prob. 6RPCh. 17 - Prob. 7RPCh. 17 - 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
- Determine the largest angle for which the homogeneous block remains at rest.arrow_forwardThe 2-Mg truck is traveling at 15 m/s when the brakes on all its wheels are applied, causing it to skid for a distance of 10 m before coming to rest. (Figure 1) Part A: Determine the constant horizontal force developed in the coupling C during this time. The total mass of the boat and trailer is 1 Mg. Express your answer to three significant figures and include the appropriate units. Part B:arrow_forwardWhat happens to the y component of a projectile's velocity as the projectile travels through the air? and What one condition must apply before you can use the range equation?arrow_forward
- Wind energy is gaining increased attention, generating an increased interest in windmill technology. Because windmill blades (vanes) rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia. Given is a picture of a typical windmill, where the geometry and center of mass of one of the vanes is illustrated. The mass of each vane is 411 kg. The distance from the center of mass of the vane to axis B is ?1=2.85 m. The distance from the center of mass of the vane to the center of the windmill hub is ?2=4.42 m. If the moment of inertia of a vane about axis A is 445 kg·m2 and about axis B is 10800 kg·m2, calculate the moment of inertia ?total of the entire assembly about the axis that passes through the windmill's hub and is perpendicular to the screen. (Ignore the hub and assume the vanes are flat.)arrow_forwardThe driving shaft of a double Hooke's joint rotates at 200 rpm. The angle of the driving and of the driven shaft with the intermediate shaft is 15° If the forks of the intermediate shaft lie in planes perpendicular to each other, determine the maximum and the minimum velocities of the driven shaft.arrow_forward2 Kinetic energy of a rigid body can be found by integrating the square of the velocity of differential mass elements over the entire mass of the body. True Falsearrow_forward
- A locomotive consists of multi cylinder reciprocating engine running at a speed of 8 r.p.s having a stroke length of 25cm, which carries a mass of reciprocating part whose magnitude is 8kgs with a revolving part of 4kgs rotating at 17cm radius. If two third of the reciprocating parts and all the revolving parts are to be balanced, determine the following when the crank has rotated 560 from top dead centre to bottom dead centre. 1. Maximum primary unbalanced force of reciprocating mass in newtons 2. Balancing mass required at a radius of 35cm in kgs 3. Variation of maximum & minimum tractive force in newtons 4. Variation of maximum & minimum swaying couple for the given centre distance 72cm between the two cylinders in (N-m) 5.…arrow_forward4. A six-pound weight hanging from the end of a spring is pulled 10 centimeters below its resting position and released; it takes 0.9 seconds to complete a cycle. Determine an equation for the motion of the weight, assuming that it is 10 centimeters below its resting position and rising at t = 0. 16165 -- below t=0 t=0.9arrow_forwardA motorcycle and rider have a combined mass of 350kg. The vehicle's velocity is 100 km/hr. The rider is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of 500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke. a. Determine the vehicle's velocity at the top of the hill, assuming it was a rolling vehicle with engine being turned off. a. Indicate the vehicle's velocity at each meter through the climb. b. Explain the transfer energy and how this affects the behaviour of the system. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: a) The angular velocity of each wheel. b) The moment of inertia of each wheel. c) The angular momentum of the wheel prior to entering the bend. d) The magnitude of the gyroscopic torque produced on the bike as the rider is driving around the bend. What is the effect and why is it important to calculate the gyroscopic…arrow_forward
- A 75-kg block is attached to a cable. The cable is then attached to a rotating assembly with a mass moment of inertia of 18 kg-m^2. The bearing friction applied at the rotating assembly equivalent to a couple of 45 N-m CCW. The block's downward speed is initially at 2 m/s. 0.3 m 75 kg m 1. Which of the following does positive work on the system? 2. Which of the following is closest to the work done by the bearing friction after the rotating assembly has rotated 1.5 radians CW? 3. Which of the following is closest to the work done by the weight of the 75-kg block after the rotating assembly has rotated 1.5 radians CW? 4. Which of the following is closest to the total work done by the system after the rotating assembly has rotated 1.5 radians CW? 5. Which is following is closest to the speed of the 75-kg block after the rotating assembly rotated 1.5 rad CW?arrow_forwardA motorcycle and rider have a combined mass of 350kg. The vehicle’s velocity is 100 km/hr. The rider is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of 500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke. Determine the vehicle’s velocity at the top of the hill, assuming it was a rolling vehicle with engine being turned off.arrow_forwardTwo flywheels are pinned to opposite ends of a metal bar. The smaller flywheel has a mass of 40 kg and a radius of 0.25 m. The larger flywheel has a mass of 275 kg and a radius of 1.75 m. The bar has a mass of 2 kg and a length of 3 m. A wooden plate acts as a ripcord by temporarily pressing it against the flywheels and rapidly translating it to the left at v = angular velocity of 25 rad/s and the large flywheel has an angular velocity of 3.5714285714286 rad/s. The flywheel-bar assembly is then set on frictionless ice such that the axes of rotation are perpendicular to the ice surface. 6.25 m/s. The plate is removed when the small flywheel has an The flywheel pins have Hk = 0.05, which eventually causes the flywheels to stop spinning relative to the metal bar. Angular momentum is conserved, so the whole assembly continues spinning as a rigid body about the center of mass. What is the final angular velocity of the assembly? rad/s. The flywheels and bar rotate about their combined center…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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY