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
Question
Chapter 17.3, Problem 17.118P
(a)
To determine
Find the angular velocity of the crate immediately after B strikes the floor.
(b)
To determine
Find the fraction of the kinetic energy of the crate lost during the impact.
(c)
To determine
Find the angle
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The 25-kg cylinder A is free to slide along rod BC. When the cylinder is at x=0, the 46-kg circular disk D is rotating with an angular velocity of 4.8 rad/s. (Figure 1)
If the cylinder is given a slight push, determine the angular velocity of the disk when the cylinder strikes B at x=600mm. Neglect the mass of the brackets and the smooth rod.
The uniform rectangular plate is released from rest in the position shown. Determine the maximum angular velocity w during the
ensuing motion. Friction at the pivot is negligible.
b
2.4 b
Answer: w - i
| be|
1. Two children A and B, each having a mass 30kg, sit at the edge of the
merry-go-round which is rotating with angular velocity @ = 2 rad/s. Excluding the
children, the merry-go-round has a mass 180 kg and a radius of gyration k₂ = 0.8m.
Determine the angular velocity of the merry-go-round if A jumps off horizontally in the
-n direction (away from the merry-go-gound) with a speed of 3 m/s, measured with
respect to the merry-go-round. After A jumps off, B then jumps off horizontally in the
+t direction with a speed of 3 m/s, measured with respect to the merry-go-round -
what is the merry-go-round's angular velocity now? Neglect friction and the size of
each child.
1m
1m
B
w = 2 rad/s
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 - Prob. 17.5P
Ch. 17.1 - PROBLEM 17.6
The flywheel of a punching machine...Ch. 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 - Prob. 17.11PCh. 17.1 - Prob. 17.12PCh. 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 - Prob. 17.16PCh. 17.1 - Prob. 17.17PCh. 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 - Prob. 17.20PCh. 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 - Prob. 17.25PCh. 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 - 17.45 The uniform rods AB and BC weigh 2.4 kg and...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 - Prob. 17.50PCh. 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 - Prob. 17.53PCh. 17.2 - Prob. 17.54PCh. 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 - Prob. 17.62PCh. 17.2 - Prob. 17.63PCh. 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 17.73 A 9-in.·radius cylinder of weight...Ch. 17.2 - 17.72 and 17.73 A 9-in.·radius cylinder of weight...Ch. 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 - Prob. 17.87PCh. 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 - Prob. 17.93PCh. 17.2 - Prob. 17.94PCh. 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 - Prob. 17.103PCh. 17.3 - Prob. 17.104PCh. 17.3 - Prob. 17.105PCh. 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 - 17.113 The slender rod AB of length L = 1 m forms...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 - Prob. 17.117PCh. 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 - Prob. 17.141RPCh. 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
- Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. A homogeneous 150-kg vertical bar AB is raised from rest at θ=0o by means of the parallel swinging bars of negligible weight, with a constant moment m=5kN-m applied to the lower link at C. Determine the angular velocity and the angular acceleration of the links, and the forces at A and B at the instant when θ=40oarrow_forwardPlease answer nos. 2, 4, & 5.arrow_forward1arrow_forward
- The 6-lb steel cylinder A of radius r and the 10-lb wooden cart B are at rest in the position shown when the cylinder is given a slightnudge, causing it to roll without sliding along the top surface of the cart. Neglecting friction between the cart and the ground, determine the velocity of the cart as the cylinder passes through the lowest point of the surface at C.arrow_forwardRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A uniform 4-kg cylinder A, of radius r= 150 mm, has an angular velocity wo = 52 rad/s when it is brought into contact with an identical cylinder B, which is at rest. The coefficient of kinetic friction at the contact point Dis uk. After a period of slipping, the cylinders attain constant angular velocities of equal magnitude and opposite direction at the same time. Consider that cylinder A executes three revolutions before it attains one revolution before it attains a constant angular velocity. constant angular velocity and cylinder Bexecutes Determine the coefficient of kinetic friction Hk. The coefficient of kinetic friction Hk isarrow_forwardRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A uniform 4-kg cylinder A, of radius r= 150 mm, has an angular velocity wo = 52 rad/s when it is brought into contact with an identical cylinder B, which is at rest. The coefficient of kinetic friction at the contact point Dis uk. After a period of slipping, the cylinders attain constant angular velocities of equal magnitude and opposite direction at the same time. Consider that cylinder A executes three revolutions before it attains one revolution before it attains a constant angular velocity. constant angular velocity and cylinder Bexecutes Determine the final angular velocity of each cylinder. The final angular velocities of cylinders A and B are |rad/s (Click to select) and rad/s (Click to select) + , respectively.arrow_forward
- 3. A 30kg uniform bar is free to rotate without friction about a fixed axis at Point A. W T 1 m a. A 3 m 19 30 kg What is the angular acceleration, a, of the bar when it is horizontal, as shown? b. If the bar was released from rest at this position (w = 0 rad/s), what would be the force that the support is putting on the bar at Point A? c. If the bar already has an angular velocity of w = 4 rad/s at the point shown, what would be the force that the support if putting on the bar at Point A?arrow_forwarddraw the fbd and give the complete answerarrow_forwardA sphere of radius r and mass m has a linear velocity v0 directed to the left and no angular velocity as it is placed on a belt moving to the right with a constant velocity v1. If after first sliding on the belt the sphere is to have no linear velocity relative to the ground as it starts rolling on the belt without sliding, determine in terms of v1 and the coefficient of kinetic friction µk between the sphere and the belt (a) the required value of v0, (b) the time t1 at which the sphere will start rolling on the belt, (c) the distance the sphere will have moved relative to the ground at time t1.arrow_forward
- A disk with radius R and mass m begins from rest and then moves without slipping while being pulled horizontall by a force P acting at its center axle. Show that the velocity of the wheel after T seconds is v= 2PT/3m. (Hint: use both linear and angular-impulse principles.) m REG P ¹The radius of gyration has units of length and is related to the inertia by k = IG/m. It corresponds to the distance at which a mass equivalent to the mass of the rigid body would produce the same inertia as the actual rigid body. Recall that the inertia of a particle of mass m at a distance r from an axis of ortation is mr². Rather that using r the convention is to define the radus of gyration with the symbol k.arrow_forwardThe 9-lb sphere and 6-lb block (shown in section) are secured to the arm of negligible mass which rotates in the vertical plane about a horizontal axis at O. The 3-lb plug is released from rest at A and falls into the recess in the block when the arm has reached the horizontal position. An instant before engagement, the arm has an angular velocity wo = 1.7 rad/s. Determine the angular velocity w (positive if counterclockwise, negative if clockwise) of the arm immediately after the plug has wedged itself in the block. 9 lb Answer: w= 13" i wo 22" 3 lb 26" 6 lb rad/sarrow_forwardBlock A has a mass m and is attached to a cord that is wrapped around a uniform disk with a mass M. The block is released from rest and falls through a distance h before the cord becomes taut. Derive expressions for the velocity of the block and the angular velocity of the disk immediately after the impact. Assume that the impact is (a) perfectly plastic, (b) perfectly elastic.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 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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY