EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
14th Edition
ISBN: 9780133976588
Author: HIBBELER
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 17.3, Problem 1PP
Draw the free-body and kinetic diagrams of the object AB.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The 544g collar is free to slide on the smooth rod OA.
The rod rotates about pin O at constant angular velocity, é.
a =en + še, = a = RÔ?e, + RÖe, for a circular path, R = radius
2.1 Use N-T coordinates, draw a FBD and a kinetic diagram to determine
the minimum value of é for which the collar will maintain contact with the
stop at A throughout the rotation.
2.2 Would friction between the collar and the rod affect your result in 2.1?
4b
Derive the equation of motion for the following system, using
(the rotation of the beam about the hinge) as the degree-of-freedom.
Not that there is an applied force (F, sin wt) as well as an applied
moment (Mo sin wt). The total bar mass is m. Treat the bar as two
bars: one to the left of the hinge point; one to the right. The one to
the left has a mass moment of inertia of 2 mL²; the one to the
27
192
Fo sin cor
right has a mass moment of inertia of mL². Then transform this
differential equation of the Laplace domain, assuming zero initial
192
conditions. Lastly, compute the damping ratio and damped natural frequency for this system.
1/4+1/12
mo
LUC
m
Mo sin cor
Chapter 17 Solutions
EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
Ch. 17.1 - The rod's density end cross-sectional area. A are...Ch. 17.1 - Determine the mass of the cylinder end its moment...Ch. 17.1 - The nag has a mass m.Ch. 17.1 - Determine the radius of gyration kx. The density...Ch. 17.1 - The specific weight of the material is = 380...Ch. 17.1 - Determine the moment of inertia Iz and express the...Ch. 17.1 - Determine the moment of inertia Ix and express the...Ch. 17.1 - Defending the moment of inertia Iy and express the...Ch. 17.1 - Express the result in terms of the mass m of the...Ch. 17.1 - Determine me radius of gyration of the pendulum...
Ch. 17.1 - Determine the mass moment of inertia of the...Ch. 17.1 - Determine the moment of inertia of the solid steel...Ch. 17.1 - Determine the wheels moment of inertia about an...Ch. 17.1 - If the large ring, small ring and each of the...Ch. 17.1 - The thin plate has a hole in its center its...Ch. 17.1 - The material has a mass per unit area of 20 kg/m2.Ch. 17.1 - The block has a mass of 3 kg and the semicylinder...Ch. 17.1 - The block has a mass of 3 kg and the semicylinder...Ch. 17.1 - The material has a specific weight = 90 lb/ft3.Ch. 17.1 - Prob. 20PCh. 17.1 - Determine the location y of the center of mass G...Ch. 17.1 - The material is steel having a density of = 7.85...Ch. 17.1 - The material is steel having a density of = 7.85...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Determine the acceleration of the can and the...Ch. 17.3 - If the 80-kg cabinet is allowed to roll down the...Ch. 17.3 - Determine the maximum acceleration of the frame...Ch. 17.3 - Also what is the corresponding normal reaction on...Ch. 17.3 - Determine the tension developed in the rods and...Ch. 17.3 - If it is subjected to a couple moment M = 450 N ...Ch. 17.3 - Determine how far the door moves in 25, starting...Ch. 17.3 - Determine the constant force F that must be...Ch. 17.3 - Initially at take-off the engines provide a thrust...Ch. 17.3 - If it starts from rest it causes the rear wheels...Ch. 17.3 - If the winch at B draws in the cable with an...Ch. 17.3 - Determine the greatest acceleration of the...Ch. 17.3 - Determine the internal axial, shear, and...Ch. 17.3 - If the coefficient of kinetic friction between the...Ch. 17.3 - Determine the reactions at both the wheels at A...Ch. 17.3 - Also, what is the acceleration of the cart? The...Ch. 17.3 - If it is subjected to a horizontal force of P =...Ch. 17.3 - Determine its initial acceleration if a man pushes...Ch. 17.3 - Determine the initial acceleration of a desk when...Ch. 17.3 - Determine the maximum force P that can be applied...Ch. 17.3 - Determine the maximum force P that can be applied...Ch. 17.3 - If it is released from rest, determine the...Ch. 17.3 - It is carried on a truck as shown. Determine the...Ch. 17.3 - It is carried on a truck as shown. If the truck...Ch. 17.3 - Determine the smallest acceleration that will...Ch. 17.3 - The coefficients of static and kinetic friction...Ch. 17.3 - If the collar is given a constant acceleration of...Ch. 17.3 - If it is supported by the cable AB and hinge at C,...Ch. 17.3 - If it is supported by the cable AB and hinge at C,...Ch. 17.3 - If the acceleration is a = 20 ft/s2, determine the...Ch. 17.3 - If h = 3 ft, determine the snowmobiles maximum...Ch. 17.3 - If the carts mass is 30 kg and it is subjected to...Ch. 17.3 - The uniform rod BC has a mass of 15 kg.Ch. 17.3 - If the acceleration of the truck is at = 0.5 m/s2,...Ch. 17.3 - If the angle = 30, determine the acceleration of...Ch. 17.3 - Determine the largest initial angular acceleration...Ch. 17.3 - Determine the initial friction and normal force of...Ch. 17.3 - Determine the largest initial angular acceleration...Ch. 17.3 - Determine the normal force NE, shear force VE, and...Ch. 17.4 - If the wheel starts from rest determine its...Ch. 17.4 - Determine the angular velocity of the disk when t...Ch. 17.4 - Determine the tangential and normal components of...Ch. 17.4 - Determine the tangential and normal components or...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.4 - If the rod has a counterclockwise angular velocity...Ch. 17.4 - If the wheel is subjected to a moment M = (5t) N ...Ch. 17.4 - Determine its initial angular acceleration and the...Ch. 17.4 - If it is released from rest when = 0. determine...Ch. 17.4 - If it is released from rest in the position shown,...Ch. 17.4 - The reel rests on rollers at A and B and has a...Ch. 17.4 - The spring has a stiffness k = 5 lb ft/rad, so...Ch. 17.4 - The spring has a stiffness k = 5 lb ft/rad, so...Ch. 17.4 - If a force of F=(142)N, where is in radians, is...Ch. 17.4 - If no slipping occurs between them determine the...Ch. 17.4 - Show that IG may be eliminated by moving the...Ch. 17.4 - Treat the beam as a uniform slender rod.Ch. 17.4 - It consists of a 100-kg steel plate AC and a...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - Determine its angular velocity when t = 2 s...Ch. 17.4 - If it is placed on the ground for which the...Ch. 17.4 - Compute the time needed to unravel 5 m of cable...Ch. 17.4 - If the rotor always maintains a constant clockwise...Ch. 17.4 - It is originally spinning at = 40 rad/s. If it is...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - Disk E has a weight of 60 lb and is initially at...Ch. 17.4 - If the cylinders are released from rest, determine...Ch. 17.4 - If the pulley can be treated as a disk of mass 3...Ch. 17.4 - If the pulley can be treated as a disk of mass M,...Ch. 17.4 - Assume that the board is uniform and rigid, and...Ch. 17.4 - At the instant the rolor is horizontal it has an...Ch. 17.4 - Determine the initial tending moment at the fixed...Ch. 17.4 - Movement is controlled by the electromagnet E,...Ch. 17.4 - If it is rotating in the vertical plane at a...Ch. 17.4 - Determine the angular acceleration of the rod and...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.5 - If the powder burns at a constant rate of 20 g/s...Ch. 17.5 - Determine the acceleration of the bars mass center...Ch. 17.5 - Determine the acceleration of its mass center and...Ch. 17.5 - When the wheel is subjected to the couple moment,...Ch. 17.5 - Determine the angular acceleration of the sphere...Ch. 17.5 - If the couple moment is applied to the spool and...Ch. 17.5 - If the rod is released from rest at = 0,...Ch. 17.5 - rolls without slipping, show that when moments are...Ch. 17.5 - If it is initially at rest and is subjected to a...Ch. 17.5 - The uniform 150-lb beam is initially at rest when...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If a horizontal force of F = 80 N is applied to...Ch. 17.5 - If slipping does not occur, determine the rings...Ch. 17.5 - Neglect the thickness of the ring.Ch. 17.5 - Using a collar of negligible mass, its end A is...Ch. 17.5 - If the pin is connected to a track which is giver...Ch. 17.5 - Assume the roller to be a uniform cylinder and...Ch. 17.5 - Also, find the angular acceleration of the roller....Ch. 17.5 - Determine the bars initial angular acceleration...Ch. 17.5 - Solve Prob.17-106 if the roller is removed and the...Ch. 17.5 - If the coefficient of static friction at A is s, =...Ch. 17.5 - If the truck has an acceleration of 3 m/s2...Ch. 17.5 - A cord is wrapped around the periphery of the disk...Ch. 17.5 - If the coefficient of static friction at A is s =...Ch. 17.5 - At this instant the center of gravity of the...Ch. 17.5 - Determine the initial angular acceleration of the...Ch. 17.5 - Determine the time before it starts to roll...Ch. 17.5 - If they are released from rest determine the...Ch. 17.5 - Determine the normal force which the path exerts...Ch. 17.5 - If it is originally at rest while being supported...Ch. 17.5 - If the pin support at A suddenly fails, determine...Ch. 17.5 - Determine its angular acceleration.Ch. 17.5 - If the coefficient of kinetic friction between the...Ch. 17.5 - Determine the normal reactions at each of the...Ch. 17.5 - Determine the internal axial force Ex, shear force...Ch. 17.5 - Determine the maximum acceleration it can have if...Ch. 17.5 - The roil rest against a wall for which the...Ch. 17.5 - Determine the magnitude of force F and the initial...Ch. 17.5 - Compute the reaction at the pin O just after the...Ch. 17.5 - if the coefficient of kinetic friction at the...Ch. 17.5 - The coefficient of kinetic friction is A = 0.3.
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
- Derive the equation of motion for the following system, using (the rotation of the beam about the hinge) as the degree-of-freedom. Not that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the hinge point; one to the right. The one to the left has a mass moment of inertia of- mL²; the one to the 27 192 1 mL². Then transform this Fo sin cor right has a mass moment of inertia of- 192 differential equation of the Laplace domain, assuming zero initial conditions. Lastly, compute the damping ratio and damped natural frequency for this system. TET 4 fm o Mo sin orarrow_forwardFigure Q1(b) shows the 10 kg rod AB which is constrained so that its end of slider block B move along the fixed guide. The rod is initially at rest when theta =0 degrees If the slider block A is acted upon by a vertical force P 100 N; Note; Use your last three digit of matrix number to determine the value of force P (i) Draw kinematic diagram of the rod at theta=0° and theta-30 degrees respectively. i) Determine the initial and final kinetic energy. ii) Calculate the angular velocity of the rod at the instant theta-30 degreesarrow_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
- Q1/ A: Describe the motion of bodies A and Bof each mechanism shown as: (1) translation; (2) rotation about a fixed axis; or (3) generai plane motion B (a) (b) (c)arrow_forward4. Draw the FBD and derive the EOM of the pulley system below with respect to x using Newton's laws. Mass m slides on a rough surface with friction force f. There is no displacement in the spring initially. -Pulley. moment of inertia J,arrow_forwardNo.1 Three masses A, B and C are placed on a balanced disc as shown at radii of 120 mm, 100 mm and 80 mm respectively. The masses are 1 kg, 0.5 kg and 0.7 kg respectively. Find the 4th mass which should be added at a radius of 60 mm in order to statically balance the system. 1000 300 No.2 Find the mass and the angle at which it should be positioned in planes A and D at a radius of 60 mm in order to produce complete balance of the system shown. C Plane D Plane A 'B 600 Radius B is 75 mm Radius C is 50 mm Mass of B is 5 kg Mass of C is 2 kg 200 mm 300'mm 375 mmarrow_forward
- Paragraf Stiller Düz 11 In Figure 2, the wheel with mass p (kg) with an inertial radius of kA (mm), M-X.t (N.m) it has been subjected to moment (t seconds). Starting from a stationary state calculate the angular speed of the wheel after t1 seconds. Also, the reaction force that the fixed bearing a exerts on the wheel during movement calculate. (Gravity acceleration will be taken as 9.81 m/s2.) kA= 252 mm p= 13 kg x= 3 t;=2 M Odakarrow_forwardEquilibrium of Concurrent Force System. The piston of a reciprocating engine exerts a force of 175 kN on the crosshead when the crank is 45° (angle B) past TDC. If the stroke of the piston is 800 mm and the length of the connecting rod is 1.80 m, find the guide force and the force in the connecting rod. Hint: 1=½ stroke; Angle o may be solved using Sine Law in AACO. K= Compressive Force in the connecting Rod E= Piston Effort 70 120 F, = Guide Force Fig. P-1 Fig. P-2 a Tools: EF cos0=0; F sin .=0. R = Ev)* + (E#): ; R 771 =- : tane = sin A sin B sin Carrow_forwardHow do I go about solving this? I am not sure where the moments act or how to draw the free body diagram. I know I would use my equilibrium equations to find the answer but I am unsure how to do so.arrow_forward
- 1. An excavator encounters a reaction force of 7600 lb from the ground, normal to line AC, as shown. The shaded structural members (Dipperstick (FH), Mainboom (ADK), bucket, and hydraulic cylinders) have a combined weight of 15000 lb and a horizontal mass center located midway between points C and G. A OLUNU G 3 ft 6 in. 40° E Mainboom 3 ft 4 in. 39 ft F O K Dipperstick H Bucket 7600 lb C Questions: (a) Dismember the shaded structural members (with labeled points A-H) from the tractor and sketch a free-body diagram showing external and exposed internal forces. (b) Compute the force in the hydraulic cylinder strut BD and the pin reactions at A in the given position.arrow_forward17. The 200 N force acts on the cylinder (radius = 20 cm, 80 kg) shown as it moves from rest with no slipping. The velocity of the center of the cylinder mass = 200 N after it moves 2.0 m is m/sarrow_forwardxed axis) students in my Mechanisms class have created a doohickey consisting of a bar with uniform thickness and width, total mass of mABC = 30 kg, and lengths LAB = 4 m and LBC = 2 m. The angle shown is 0 = 30°. It's connected to cylinder E (mɛ = 20 kg) by an inextensible, massless cable which passes over frictionless, massless pulley. It is released from rest. Determine: a) the acceleration of the cylinder b) the tension in the cable c) the reactions ON the pin at B LAB B LBC C D Earrow_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