Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259638091

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Gen…

Videos

Textbook Question

Chapter 19, Problem 19.168RP

A small ball of mass m attached at the midpoint of a tightly stretched elastic cord of length l can slide on a horizontal plane. The ball is given a small displacement in a direction perpendicular to the cord and released. Assuming the tension T in the cord to remain constant, (a) write the differential equation of motion of the ball, (b) determine the period of vibration.

Chapter 19, Problem 19.168RP, A small ball of mass m attached at the midpoint of a tightly stretched elastic cord of length l can

Fig. P19.168

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19, Problem 19.167RP

Chapter 19, Problem 19.169RP

Students have asked these similar questions

A machine of mass 75 kg is mounted on springs and is fitted with a dashpot to damp out vibrations. There are three springs each of stiffness 10 N/mm and it is found that the amplitude of vibration diminishes from 38.4 mm to 6.4 mm in two complete oscillations. Assuming that the damping force varies as the velocity, determine : 1. the resistance of the dash-pot at unit velocity ; 2. the ratio of the frequency of the damped vibration to the frequency of the undamped vibration ; and 3. the periodic time of the damped vibration.

As shown in the Fig. 3, the CM of a cylinder of mass m and radius R is connected to the top of hoop of mass m by a spring. The spring constant is assumed to be known and it is denoted by k. At a given moment the system is slightly compressed and then suddenly released. After the release, both rigid objects roll without slipping. Determine the angular frequency of the resulting oscillation. It is assumed that the spring remains horizontal throughout the motion. Figure 3: Coupled Oscillator

Problem 5.118 L2 02 The simple pendulum shown oscillates in the vertical plane (the plane of the figure) as the pendulum cord is being steadily retracted through the opening at O with a constant speed v. Consider the oscillations of the pendulum between positions O and ®, where 8, and 0, are the maximum swing angles of the pendulum at O and O, respectively. Let L, and L, denote the lengths of the cord at 0 and ®, respectively, and let m denote the L1 mass of the pendulum bob. Neglecting all forces except gravity and the tension in the cord, determine the angular impulse relative to O provided to the pendulum bob in going from 0 to 2. Figure P5.118

Chapter 19 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3P Ch. 19.1 - Prob. 19.4P Ch. 19.1 - Prob. 19.5P Ch. 19.1 - Prob. 19.6P Ch. 19.1 - Prob. 19.7P Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9P Ch. 19.1 - Prob. 19.10P

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.

Solution Summary: The author calculates the mass of the disk A (w_A) using the formula:

Concept explainers

Videos

Want to see the full answer?

Chapter 19 Solutions