Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 21.4, Problem 56P
The 4-kg slender rod AB is pinned at A and held at B by a cord. The axle CD is supported at its ends by ball-and-socket joints and is rotating with a constant angular velocity of 2 rad/s. Determine the tension developed in the cord and the magnitude of force developed at the pin A.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
3. The connecting rod of the steam engine shown schematically is assumed to be a slender uniform
rod. 4 ft long weighing 322 Ib. the crank AO is 1ft long and rotates at a constant rate of 10 rad/s.
the force on the 64.4 Ib cross-head at the given instant is 2142 Ib. neglecting friction. Determine
the normal force on the crosshead and the horizontal and vertical components at crank pin
force at A.
А
45deg
В
A Tractor of mass 1200kg is used to lift gravel weighing 8KN. Determine the reaction at each of the front wheel.
Bar BC weighs 161 lb and has a radius of gyration of mass with respect to a hor- izontal axis through G of 3.0 ft. The bar is supported by the cords AB and CD which rotate in the same vertical plane. The speed of the mass centre, when in the position shown, is 12 fps. Determine the tension in cables AB and CD for this position.
Chapter 21 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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 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/sarrow_forward4. The rigid link is supported by a pin at A, a steel wire BC having an unstretched length of 300 mm and cross-sectional area of 20 mm², and a short aluminum block having a length of 100 mm under no load and cross-sectional area of 40 mm². If the link is subjected to a vertical force of 550 N as shown, determine the force in wire BC and the aluminum block, and the rotation of the link about pin A. Est = 200 GPa, EA = 70 GPa. 300 mm B 200 mm 550N 250mm D A 250 mm 100 mmarrow_forwardAs part of a test, the two aircraft engines are revved up and the propeller pitches are adjusted so as to result in the fore and aft thrusts shown. What force F must be exerted by the ground on each of the main braked wheels at A and B to counteract the turning effect of the two propeller thrusts? Neglect any effect of the nose wheel Cwhich is turned 90° and unbraked. 390 lb 390 lb Answer: F 25' lbarrow_forward
- A tractor of mass 1200 kg is used to lift gravel weighing 8 KN. Determine the reaction at eachof the front wheel.arrow_forwardThe 1200-lb homogeneous block is placed on rollers and pushed up the 10 incline at constant speed. Determine the force P and the roller reactions at A and B.arrow_forward6. The uniform ring of mass m = 10 kg and radius r= 0.5 m is hinged at O and can rotate freely in the vertical plane. If the ring is released with a clockwise angular velocity o = 4 rad/s from the position shown where OC is horizontal, determine the magnitude of the reaction at pin O the instant the disk is released. toarrow_forward
- The parallelogram linkage shown moves in the vertical plane with the uniform 9.3-kg bar EF attached to the plate at E by a pin which is welded both to the plate and to the bar. A torque (not shown) is applied to link AB through its lower pin to drive the links in a clockwise direction. When e reaches 51°, the links have an angular acceleration and an angular velocity of 7.0 rad/s² and 2.3 rad/s, respectively. For this instant calculate the magnitudes of the force F and torque M supported by the pin at E. Welded 1435 mm pin F 995 995 mm mm B D Horizontal Answers: F = i N M = i N•marrow_forwardEnd B of the uniform 2.7-kg bar AB is connected to a small roller that moves in a horizontal slot. The other end of the bar is pinned to the homogeneous 1.8-kg disk that rolls without slipping on the vertical surface. The spring attached to A has a free length of 0.3 m and a stiffness of 58 N/m. After the system is becomes horizontal. Determine the magnitude of the force P that acts on the bar at B. 2.1 m 0.24 m 0.9 m www 1.8 kg 1.5 m 2.7 kg Parrow_forwardA loading car is at rest on a track forming an angle of25owith the vertical. The gross weight of the car andits load is 5500 lb, and it acts at a point 30 in. from the track, halfway between the two axles. The car is heldby a cable 24 in. from the track. Determine the tensionin the cable and the reaction ateach pair of wheels.arrow_forward
- The hand brake for a bicycle is shown. Portions DE and FG are free to rotate on bolt A which is screwed into the frame BC of the bicycle. The brake is actuated by a shielded cable where T1 is applied to point E and T2 is applied to point G. A spring having 40 N compressive force is placed between points E and G so that the brake stays open when it is not being used. Assume the change in the spring's force is negligible when the brake is actuated to produce the F = 100 N forces at points D and F. Determine the necessary cable forces T1 in N.arrow_forwardA single cylinder horizontal engine runs at 120 r.p.m. The length of stroke is 400 mm. The mass of the revolving parts assumed concentrated at the crank pin is 100 kg and mass of the reciprocating parts is 150 kg. Determine the magnitude of the balancing mass required to be placed opposite to the crank at a radius of 150mm which is equivalent to all the revolving and 2/3rd of the reciprocat- ing masses. If the crank turns 30° from the inner dead centre, find the magnitude of the unbalanced force due to the balancing mass.arrow_forwardEach of the gears A and B has a mass of 10 kg and a radius of gyration of 190 mm, while gear Chas a mass of 2.5 kg and a radius of gyration of 80 mm. Consider that a couple M of constant magnitude 10 N-m is applied to gear C. 250 mm 250 mm 100 mm Determine the corresponding tangential force acting on gear A. The corresponding tangential force acting on gear A is 26.35 O N.arrow_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