VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 18.3, Problem 18.117P
(a)
To determine
The approximate rate of steady precession of the projectile.
(b)
To determine
The exact values of two possible rates of precession.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
I need the answer as soon as possible
A homogeneous rad of mass M = 11 kg and length L = 12 m spins around its center of mass with an angular speed
w = 12 radian/s on a horizontal frictionless surface of a table. The location of the center of mass of the rod on the table is stationary
although the center of mass is not pivoted to the table. As the rod spins, a point-like particle of mass m = 2 kg is placed at rest on
the table as shown in the figure and the end of the rod collides elastically with it. After the collision, the rod has only a translational
motion, and no rotational motion. What is the speed v of the rod, in units of m/s, after the collision?
(Suggestion: You may use conservation of linear momentum and conservation of angular momentum (about the fixed point on the
table where the center of mass of the rod was initially spinning on.)
(The moment of inertia of the rod about the axis through the center of mass I = 1 ML?)
O 24.00
6.00
O 30.00
O 12.00
O 36.00
(b) Describe the phenomenon of combined
motion of rotation and translation with
a suitable example.
5. (a) State the laws of motion. Discuss the
first law in the light of second law.
(b) The sliders A and B in Fig. 1 are
connected by a light rigid bar of length
1 = 0·5 m and move with negligible
friction in the slots, both of which lie in
a horizontal plane :
6. (a)
B
( 6 )
3 kg
20AK/312
0.5 m
XA
74
A
2 kg
Fig. 1
For the position where xA = 0.5 m, the
velocity of A is UA = 0.9 m/s to the right.
Determine the acceleration of each
slider and the force in the bar at this
instant.
Define mass moment of inertia and
kinetic energy of rotation.
P = 40 N
Jul
8
4
(Continued)
(b) A sp
carr
ma
OS
ex
(c) F
7. (a
(
Chapter 18 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
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 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane. Initially the assembly is rotating with an angular velocity of magnitude w = 5 rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg.m2 and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg.m2If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.arrow_forwardA particle M1, weighing 2.4 Ibs, is tied to a thread and describes a circular path in a horizontal plane. The thread, of negligible mass, passes through a hole in the center of the circle and descends vertically. Another particle M2 is attached, weighing 5.0 Ibs, as shown in the figure. If M1 describes a uniform circular motion, with angular velocity w 3.1 rad/s, determine the radius R of the circumference in inches.arrow_forwardQ3. The double pulley shown in Fig Q3 has a mass of 14 kg and a centroidal radius of gyration of 165 mm. A and B are attached to cords that are wrapped around the pulley. µk = 0.25 between B and the surface. A friction moment exists in the axle of the pulley of 0.8 Nm. Knowing the system is released from rest, at the position shown, Using hand Calculations to determine, a) The velocity of A as it strikes the ground b) The total distance covered by B before it comes to rest. Using MATLAB to plot the variation of the velocity with the work done by the system. 250 mm 150 mm Not to scale m, = 9 kg B A m, = 11.5 kg 900 mm Fig. Q3arrow_forward
- we have a non-rotating space station in the shape of a long thin uniform rod of mass 2.95 x 10^6 kg and length 710 meters. Small probes of mass 5178 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 4318 m/s with respect to the launch points, which are each located 199 m from the center of the rod. After 17 pairs of probes have launched, how fast will the station be spinning? a. 16.32 rpm b. 4.90 rpm c. 11.66 rpm d. 8.16 rpmarrow_forwardTwo blocks 1 and 2 are connected by a rope over a pulley as shown. The pulley is very light (massless) and rotates with essentially no friction. Calculate the mass of block 1, m1, given that the mass of block 2 is m2=5.5 kg and that block 2 moves and accelerates downwards at 3.57 m/s2 when θ=35∘ and μk=0.4. I think that I need to be using Newtons second law but I just dont know how to solve this. Can you please help?arrow_forwardA disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly one third of the way from the center toward the rim. What is the ratio of the angular velocity wa to that of wB, and the tangential velocity VA to that of VB? (a) the angular velocity wA to that of B = WA = WB (b) the tangential velocity VÀ to that of VB VA VBarrow_forward
- A ball is fastened by a light inextensible cord 5m long to a point 3m above the level of a smooth horizontal table, and is than caused to rotate in a horizontal circle.Determine the following:(a) The angular velocity of the ball in rpm so as to just keep clear of the surface of the table.(b) If the mass of the ball is 6kg determine the tension in the string when it rotates at 17.3 rpm.arrow_forwardPlease help me with this question. Thankyou very much!arrow_forwardNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two small disks A and B of mass 3 kg and 1.5 kg, respectively, may slide on a horizontal, frictionless surface. They are connected by a cord 600 mm long and spin counterclockwise about their mass center Gat the rate of 15 rad/s. At t= O, the coordinates of Gare x = 0 and yo = 2 m, and its velocity is v0 = (1.2 m/s)i +(0.96 m/s)j. Shortly thereafter, the cord breaks; disk A is then observed to move along a path parallel to the yaxis and disk Balong a path which intersects the x axis at a distance b=7.5 m from O. B C yo B B' x Determine the velocities of A and B after the cord breaks. (You must provide an answer before moving on to the next part.) 3.3 After the cord breaks, the velocity of A is After the cord breaks, the velocity of Bis 5.13 m/s↑. m/s € 45.4arrow_forward
- Two smooth disks A and B each have a mass of 0.5 kg. Both disks are moving with the velocities shown when they collide. Suppose that (vA)1 = 9 m/s , (vB)1 = 8 m/s. The figure shows two discs, A and B, moving toward the origin of a horizontal xy-plane, where they collide, so that their common tangent lies on y-axis. Disk A moves in negative x-direction with velocity left-parenthesis v subscript A right-parenthesis subscript 1. Block B moves from the third quarter with velocity left-parenthesis v subscript B right-parenthesis subscript 1, directed along an inclined line with a slope of four-thirds. Determine the coefficient of restitution between the disks if after collision B travels along a line, 30∘ counterclockwise from the y axis.arrow_forward(II) Billiard ball A of mass ma = 0.120 kg moving with speed vA = 2.80 m/s strikes ball B, initially at rest, of mass mB = 0.140 kg. As a result of the collision, ball A is deflected off at an angle of 30.0° with a speed vA = 2.10 m/s. (a) Taking the x axis to be the original direction of motion of ball A, write down the equations expressing the conservation of momentum for the compo- nents in the x and y directions separately. (b) Solve these equations for the speed, vg, and angle, 0g , of ball B after the collision. Do not assume the collision is elastic.arrow_forward2) A ball with a weight of 0.3N is attached to the end of an elastic thin cord of which unstretched length is 59cm. The other end of the cord is fixed at a point on the horizontal frictionless surface of a table. The stiffness of the cord is 20 N/m. At an instant, the ball moves with a velocity of 2.95 m/s which is perpendicular to the radius of curvature of the path of the ball and the length of the cord is 89cm at that instant. For the elastic cord to be stretched all the time during the motion of this ball, what is the minimum value of the velocity of the ball?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