Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 19.2, Problem 14P
The rod of length L and mass m lies on a smooth horizontal surface and is subjected to a force P at its end A as shown. Determine the location d of the point about which the rod begins to turn, i.e, the point that has zero velocity.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the assembly rotates about a horizontal
axis through O with a constant angular velocity-w-3.2 rad/s. Determine the force T in the rod when 9 - 36°. The force T is
positive if in tension, negative if in compression.
Part 1
Answers:
■
de
L
Your answer is partially correct.
Calculate the r- and 8-components of acceleration.
0
ar= i 13.005
0
m
m
m/s²
m/s²
When the angle θ = 90 °, the cylinder BE starts with a vertical force (F = 3210 N) Newtons on the platform. Also, the box (box) is 200 kg and the angular velocity (ω) of body AB is 9 (rad / s). First, treat the box and platform as a single body to find the following: The magnitude of the reaction forces at points B and D. Box aG acceleration in the x and y direction. Second, having progressed earlier, only found the following for the platform: Reaction force from the box on the platform. Minimum symbol minimum A request of the consonant (μs) to disallow the box.
The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B
to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and
directions of the normal forces which act on the rollers if (a) h = 0.25L, (b) h = 0.50L, and (c) h = 0.81L. The forces will be positive if up,
negative if down. Evaluate your results for p = 2.5 kg/m, L = 510 mm, and P = 43 N. What is the acceleration of the frame in each case?
Answers:
(a)
(b)
L
(c)
h=
0.25L:
h =
0.50L:
h =
0.81L:
L
A
A
A
=
B
i
i
i
h
P
N.
N.
N₁
B
i
i
i
N.
N.
N.
i
i
i
m/s
m/s
m/s
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
- The smooth block B, having a mass of 1 kg, is attached to the vertex of the right circular cone using a light cord. If the block has a speed of 0.6 m/s around the cone, determine the tension in the cord and the reaction which the cone exerts on the block. Neglect the size of the block. 200 mm 400 mm 300 mmarrow_forwardThe shown spool has a mass of 450 kg and aradius of gyration Gk=1.2 m. It rests on thesurface of conveyer belt for which the coefficient offriction m= 0.5. If the conveyer acceleratesat2 1.2m / S and the spools rolls without slipping,determine the tension in the wire and the angularacceleration of the spoolarrow_forwardThe particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity = w = 3.2 rad/s. Determine the force T in the rod when 0 = 36°. The force Tis positive if in tension, negative if in compression. L Ꮎ marrow_forward
- The four balls, each of mass m = 2.8 kg, are rigidly mounted to the rotating frame and shaft, which are initially rotating freely about the vertical z-axis at the angular rate of 15.7 rad/s clockwise when viewed from above. The distances r = 0.28 m and R = 0.57 m. If a constant torque M = 25.7 N-m is applied to the shaft, calculate the time t to reverse the direction of rotation and reach an angular velocity 0 = 15.7 rad/s in the same sense as M. 3 m R Answer: t = i - R M m m Sarrow_forward2) The shown spool has a mass of 450 kg and a radius of gyration k. =1.2m. It rests on the surface of conveyer belt for which the coefficient of friction u = 0.5. If the conveyer accelerates at 1.2m/ S²and the spools rolls without slipping, determine the tension in the wire and the angular acceleration of the spool 0.8 m 1.6 m acarrow_forwardThe small block B is attached to the vertex A of the right circular cone using a light cord. The cone is rotating at a constant angular velocity about the vertical z-axis such that the block attains a speed of 0.6 m/sec. If the mass of the block is 0.3 kg, determine the tension in the cord by neglecting friction and the size of the block. Present your answer in Newtons using 3 significant figures. 200 mm B 300 mm A 400 mmarrow_forward
- The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of ? = 55° shown in the figure. Find the tension forces at the strings AB and AC.arrow_forwardA force of P = 340 N is applied to the 70-kg cart. The mass center of the cart is at G Determine the reaction at both the wheels at A. Determine the reaction at both the wheels at B. What is the acceleration of the cart?arrow_forwardQ. The upper and lower arms of Porter governor are 0.25 m each and are pivoted 30 mm from the axis of rotation. The radius of rotation Is 130 mm. The mass of the ball and sleeve are 3 kg and 38 kg respectively. Find the effort and power of the governor.arrow_forward
- The four balls, each of mass m = 2.3 kg, are rigidly mounted to the rotating frame and shaft, which are initially rotating freely about the vertical z-axis at the angular rate of 19.5 rad/s clockwise when viewed from above. The distances r = 0.25 m and R = 0.52 m. If a constant torque M = 23.1 N·m is applied to the shaft, calculate the time t to reverse the direction of rotation and reach an angular velocity = 19.5 rad/s in the same sense as M. m R m r M m R marrow_forwardThe particle of mass m = 2.1 kg is attached to the light rigid rod of length L = 0.91 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 2.9 rad/s. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression.arrow_forwardThe velocity of the 7.6-kg cylinder is 0.49 m/s at a certain instant. What is its speed v after dropping an additional 1.87 m? The mass of the grooved drum is m = 10.1 kg, its centroidal radius of gyration is k = 260 mm, and the radius of its groove is r; = 225 mm. The frictional moment at O is a constant 15.3 N-m. Assume r, = 345 mm. m Answer: v = i m/sarrow_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