VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
12th Edition
ISBN: 9781260916942
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 18.3, Problem 18.128P
(a)
To determine
The angular velocity of the satellite immediately after impact.
(b)
To determine
The precession axis of the ensuing motion.
(c)
To determine
The rates of precession and spin of the ensuing motion.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider a slender rod AB with a length l and a mass m. The ends are connected to blocks of negligible mass sliding along horizontal and vertical tracks. If the rod is released with no initial velocity from a horizontal position as shown in Fig.A, determine its angular velocity after it has rotated through an angle of θ (see Fig B) using the conservation of energy method. (Hint: Moment of inertia of rod about G = (1/12)ml2 The kinetic energy of a rigid body in plane motion is
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
9. 1) The target is a thin 5.3-kg circular disk of radius r= 318 mm that can rotate
freely about the z axis. Initially it is at rest. A 23-g bullet, traveling at v = 570 m/s,
strikes the target at A and becomes embedded in it. The dimensions are di = 189
mm and d2 = 99 mm. Determine the magnitude of the angular velocity (in rad/s) of
the target after the impact. Please pay attention: the numbers may change since
they are randomized. Your answer must include 2 places after the decimal point.
Take g = 9.81 m/s².
V
Your Answer:
Answer
Chapter 18 Solutions
VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
Ch. 18.1 - A thin, homogeneous disk of mass m and radius r...Ch. 18.1 - Prob. 18.2PCh. 18.1 - Prob. 18.3PCh. 18.1 - A homogeneous disk of weight W = 6 lb rotates at...Ch. 18.1 - A homogeneous disk of mass m = 8 kg rotates at the...Ch. 18.1 - A solid rectangular parallelepiped of mass m has a...Ch. 18.1 - Prob. 18.8PCh. 18.1 - Determine the angular momentum HD of the disk of...Ch. 18.1 - Prob. 18.10PCh. 18.1 - Determine the angular momentum HO of the disk of...
Ch. 18.1 - Prob. 18.12PCh. 18.1 - Prob. 18.13PCh. 18.1 - Two L-shaped arms each have a mass of 5 kg and are...Ch. 18.1 - For the assembly of Prob. 18.15, determine (a) the...Ch. 18.1 - Prob. 18.17PCh. 18.1 - Determine the angular momentum of the shaft of...Ch. 18.1 - Prob. 18.20PCh. 18.1 - Prob. 18.21PCh. 18.1 - Prob. 18.22PCh. 18.1 - Prob. 18.23PCh. 18.1 - Prob. 18.24PCh. 18.1 - Prob. 18.25PCh. 18.1 - Prob. 18.26PCh. 18.1 - Prob. 18.27PCh. 18.1 - Prob. 18.28PCh. 18.1 - A circular plate of mass m is falling with a...Ch. 18.1 - Prob. 18.30PCh. 18.1 - Prob. 18.31PCh. 18.1 - Determine the impulse exerted on the plate of...Ch. 18.1 - The coordinate axes shown represent the principal...Ch. 18.1 - Prob. 18.34PCh. 18.1 - Prob. 18.37PCh. 18.1 - Prob. 18.38PCh. 18.1 - Prob. 18.39PCh. 18.1 - Prob. 18.40PCh. 18.1 - Prob. 18.41PCh. 18.1 - Prob. 18.42PCh. 18.1 - Determine the kinetic energy of the disk of Prob....Ch. 18.1 - Determine the kinetic energy of the solid...Ch. 18.1 - Prob. 18.45PCh. 18.1 - Determine the kinetic energy of the disk of Prob....Ch. 18.1 - Determine the kinetic energy of the assembly of...Ch. 18.1 - Determine the kinetic energy of the shaft of Prob....Ch. 18.1 - Prob. 18.49PCh. 18.1 - Prob. 18.50PCh. 18.1 - Determine the kinetic energy lost when edge C of...Ch. 18.1 - Prob. 18.52PCh. 18.1 - Prob. 18.53PCh. 18.1 - Determine the kinetic energy of the space probe of...Ch. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.56PCh. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.58PCh. 18.2 - Prob. 18.59PCh. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.61PCh. 18.2 - Determine the rate of change HD of the angular...Ch. 18.2 - Prob. 18.63PCh. 18.2 - Prob. 18.64PCh. 18.2 - A slender, uniform rod AB of mass m and a vertical...Ch. 18.2 - Prob. 18.66PCh. 18.2 - The assembly shown consists of pieces of sheet...Ch. 18.2 - The 8-kg shaft shown has a uniform cross-section....Ch. 18.2 - Prob. 18.69PCh. 18.2 - Prob. 18.70PCh. 18.2 - Prob. 18.71PCh. 18.2 - Knowing that the plate of Prob. 18.66 is initially...Ch. 18.2 - Prob. 18.73PCh. 18.2 - The shaft of Prob. 18.68 is initially at rest ( =...Ch. 18.2 - The assembly shown weighs 12 lb and consists of 4...Ch. 18.2 - Prob. 18.76PCh. 18.2 - Prob. 18.79PCh. 18.2 - Prob. 18.80PCh. 18.2 - Prob. 18.81PCh. 18.2 - Prob. 18.82PCh. 18.2 - The uniform, thin 5-lb disk spins at a constant...Ch. 18.2 - The essential structure of a certain type of...Ch. 18.2 - A model of a type of crusher is shown. A disk of...Ch. 18.2 - Prob. 18.86PCh. 18.2 - Prob. 18.87PCh. 18.2 - The 2-lb gear A is constrained to roll on the...Ch. 18.2 - Prob. 18.89PCh. 18.2 - Prob. 18.90PCh. 18.2 - 18.90 and 18.91The slender rod AB is attached by a...Ch. 18.2 - The essential structure of a certain type of...Ch. 18.2 - The 10-oz disk shown spins at the rate 1 = 750...Ch. 18.2 - Prob. 18.94PCh. 18.2 - Prob. 18.95PCh. 18.2 - Two disks each have a mass of 5 kg and a radius of...Ch. 18.2 - Prob. 18.97PCh. 18.2 - Prob. 18.98PCh. 18.2 - A thin disk of mass m = 4 kg rotates with an...Ch. 18.2 - Prob. 18.101PCh. 18.2 - Prob. 18.102PCh. 18.2 - A 2.5-kg homogeneous disk of radius 80 mm rotates...Ch. 18.2 - A 2.5-kg homogeneous disk of radius 80 mm rotates...Ch. 18.2 - For the disk of Prob. 18.99, determine (a) the...Ch. 18.3 - A uniform thin disk with a 6-in. diameter is...Ch. 18.3 - A uniform thin disk with a 6-in. diameter is...Ch. 18.3 - Prob. 18.109PCh. 18.3 - The top shown is supported at the fixed point O...Ch. 18.3 - Prob. 18.111PCh. 18.3 - Prob. 18.112PCh. 18.3 - Prob. 18.113PCh. 18.3 - A homogeneous cone with a height of h = 12 in. and...Ch. 18.3 - Prob. 18.115PCh. 18.3 - Prob. 18.116PCh. 18.3 - Prob. 18.117PCh. 18.3 - The propeller of an air boat rotates at 1800 rpm....Ch. 18.3 - Prob. 18.119PCh. 18.3 - Prob. 18.120PCh. 18.3 - Prob. 18.121PCh. 18.3 - Prob. 18.122PCh. 18.3 - Prob. 18.123PCh. 18.3 - A coin is tossed into the air. It is observed to...Ch. 18.3 - Prob. 18.125PCh. 18.3 - Prob. 18.126PCh. 18.3 - Prob. 18.127PCh. 18.3 - Prob. 18.128PCh. 18.3 - Prob. 18.129PCh. 18.3 - Prob. 18.130PCh. 18.3 - Prob. 18.131PCh. 18.3 - Prob. 18.132PCh. 18.3 - Prob. 18.133PCh. 18.3 - Prob. 18.134PCh. 18.3 - Prob. 18.135PCh. 18.3 - A homogeneous disk with a radius of 9 in. is...Ch. 18.3 - The top shown is supported at the fixed point O....Ch. 18.3 - Prob. 18.138PCh. 18.3 - Prob. 18.139PCh. 18.3 - Prob. 18.140PCh. 18.3 - Prob. 18.141PCh. 18.3 - Prob. 18.142PCh. 18.3 - Consider a rigid body of arbitrary shape that is...Ch. 18.3 - Prob. 18.144PCh. 18.3 - Prob. 18.145PCh. 18 - Three 25-lb rotor disks are attached to a shaft...Ch. 18 - Prob. 18.148RPCh. 18 - Prob. 18.149RPCh. 18 - A uniform rod of mass m and length 5a is bent into...Ch. 18 - Prob. 18.151RPCh. 18 - Prob. 18.152RPCh. 18 - Prob. 18.153RPCh. 18 - Prob. 18.154RPCh. 18 - Prob. 18.155RPCh. 18 - The space capsule has no angular velocity when the...Ch. 18 - A homogeneous rectangular plate of mass m and...Ch. 18 - The essential features of the gyrocompass 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
- A 1-m-long uniform slender bar AB has an angular velocity of 12 rad/s and its center of gravity has a velocity of 2 m/s as shown. About which point is the angular momentum of A smallest at this instant? P1 P2 P3 P4 It is the same about all the points.arrow_forward9. 1) The target is a thin 5.5-kg circular disk of radius r= 305 mm that can rotate freely about the z axis. Initially it is at rest. A 25-g bullet, traveling at v = 570 m/s, strikes the target at A and becomes embedded in it. The dimensions are di = 181 mm and d2 = 118 mm. Determine the magnitude of the angular velocity (in rad/s) of the target after the impact. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?.arrow_forwardEXAMPLE 4 A solid ball with a mass m is thrown on the ground such that at the instant of contact it has an angular velocity and velocity components (VG) and (VG) as shown. If the ground is rough so no slipping occurs, determine the components of the velocity of its mass center just after impact. The coefficient of restitution is e. (va)yt (va)aarrow_forward
- 14 in. 18 in. VB 1500 ft/s -18 in. A 0.05-lb bullet is fired into the side of a 20-lb square panel which is initially at rest. Determine a) the angular velocity of the panel immediately after the bullet becomes embedded and b) the impulsive reaction at A, assuming that the bullet becomes embedded in 0.0006 s. Barrow_forward] Find the angular velocity and the velocity of the mass center of the rectangular plate 4. shown in the diagram. Initially, the plate is setting on the ground. Two impulses are applied to the plate, as shown. Assume the plate weighs 10-lb rectangular. LA w> 10 1b 5 lbs 60 -0.5 ft- 0.5 f 20 Ibs 2 ftarrow_forward1. A wood block of mass mw = 200 g is projected from the ground at a speed vo = 35 m/s and at an angle 60 = 50°. When at height h= 24 m the wood block was hit by a bullet of mass m = 25 g which was moving at v= 220 m/s and at an angle 6 = 70°. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has coefficient of kinetic friction u: = 0.5 and start to compress a horizontal spring at point B. The distance between point À and B is 18 m and the spring constant k = 3x10? N/m. Right end of the spring is fixed, and all motions are confined in x-y plane. Wood block + Bullet Bullet Wood B block (a) Was the collision between the wood block and the bullet elastic or inelastic? Explain quantitively. (b) Find the maximum height from the ground the block with the bullet reached. (c) How far is point A from the launch point of the wood block? (d) Calculate the velocity at which the block-bullet system…arrow_forward
- A light shaft supported in bearings at its ends carries a rotor of mass m at its mid span. When displaced laterally, the elastic restoring force due to flexure of the shaft is Kper unit deflection. If the centre of gravity of the beam is at a distance e from the axis of rotation when at rest, (a) show that the elastic deflection y of the shaft at mid span, at an angular velocity of wis given by w²e y = (b) Explain how the magnitude and direction of y change as oois increased from zero to higher values. (c) If e = 0.25 mm and the whirling speed is 1000 rev/min, find the speed range over which the magnitude of y will exceed 1.30 mm.arrow_forward1. A wood block of mass mw = 200 g is projected from the ground at a speed vo= 35 m/s and at an angle 0o = 50°. When at height h = 24 m the wood block was hit by a bullet of mass mb = 25 g which was moving at vb= 220 m/s and at an angle Ob = 70°. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has coefficient of kinetic friction uk = 0.5 and start to compress a horizontal spring at point B. The distance between point A and B is 18 m and the spring constant k = 3×10² N/m. Right end of the spring is fixed, and all motions are confined in x-y plane. Wood block + Bullet Bullet Wood A B block (a) Was the collision between the wood block and the bullet elastic or inelastic? Explain quantitively. (b) Find the maximum height from the ground the block with the bullet reached. (c) How far is point A from the launch point of the wood block? (d) Calculate the velocity at which the block-bullet…arrow_forwardA locomotive consists of multi cylinder reciprocating engine running at a speed of 4 r.p.s having a stroke length of 27cm, which carries a mass of reciprocating part whose magnitude is 14kgs with a revolving part of 5kgs rotating at 16cm 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 520 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 44cm in kgs 3. Variation of maximum & minimum tractive force in newtons 4. Variation of maximum & minimum swaying couple for the given centre distance 74cm between the two cylinders in (N-m) 5. Magnitude…arrow_forward
- 1. A wood block of mass mw = 200 g is projected from the ground at a speed v0 = 35 m/s and at an angle θ= 50degree. When at height h = 24 m the wood block was hit by a bullet of mass mb = 25 g which was moving at vb = 220 m/s and at an angle θb = 70degree. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has coefficient of kinetic friction μk = 0.5 and start to compress a horizontal spring at point B. The distance between point A and B is 18 m and the spring constant k = 3×102 N/m. Right end of the spring is fixed, and all motions are confined in x-y plane. (e) Determine how much the spring will be compressed when the block-bullet system comesto a rest.arrow_forwardA large bug of mass m crawls directly outward from the center of a disk with moment of inertia I and radius R that is free to rotate on a frictionless axle about its center. The disk spins at an initial angular velocity wo when the bug is at the center of the disk. If the bug takes a path defined by r(t) = R, where t; is the known time it takes for the bug to reach the edge, what will be the angular velocity of the system as a function of time (consider only times t < t;)? Law Applicationarrow_forwardA MATERIAL POINT WITH MASS M SLIPS FRICTIONLESS OVER THE SURFACE OF A FIXED HALF-CYLINDER WITH RADIUS R. WE DENOTE BY g THE ACCELERATION O... y A material point with mass M slips frictionless over the surface of a fixed half-cylinder with radius R. We denote by g the acceleration of gravity. The material point M is initially at point A (cylinder top). It is launched gently with an initial horizontal velocity Vo. We suppose that the material point keeps contact with the surface of the cylinder. The relationship between the velocity V of the mass M and the angle that defines its position is: 0 V² = V2 -2gR(1 - cose) None of the above answers V² = V² + 2gR(1 - cose) V² = V² + 2gR(1 + cose) V² = V² - 2gR(1 + cose) +1 Rarrow_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