Explanation Given information: The mass of the trailer and its load is 25 0 kg , the constant of the spring constant is 1 0 kN / m , amplitude of the road is 4 0 mm , and the wavelength of the road is 5 m . Write the expression for the speed at the resonance. v = λ 2 π 2 k m ....... (I) Here, the wavelength is λ , spring constant is k , and the mass is m . Calculation: Substitute 5 m for λ , 1 0 kN / m for k , and 25 0 kg for m in Equation (I) To determine (b) The amplitude of the vibration of the trailer at a speed of 5 0 km / h .

12th Edition

ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

See similar textbooks

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Videos

Question

Chapter 19, Problem 19.162RP

To determine

(a)

The speed at which the resonance will occur.

To determine

(b)

The amplitude of the vibration of the trailer at a speed of 50 km/h.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19, Problem 19.161RP

Chapter 19, Problem 19.163RP

Students have asked these similar questions

An object of mass 2 kg is attached to a spring of stiffness 200 N / m on a horizontal frictionless surface . Then it is extend by 10 cm and then let free to oscillate . 1- How long will it take to make one complete oscillation ? 2- Determine the amplitude and give an expression for the displacement as a function of time . 3- Calculate its displacement , velocity , acceleration and force acting on it after sec . 4- Calculate its velocity by the time it is extended by 0.5 cm

An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial displacement from equilibrium (at time t = 0) is 0.30 m and the initial velocity is 2.0 m/s. 2. From the initial conditions, determine the energy of the oscillator. Next, use the value of the energy to determine both the displacement and velocity amplitudes. Determine and display the displacement in the form x(t) = Ccos(@ot + q), where C is in meters and o is in radians.

A glider of mass 0.350 kg is placed on a frictionless, horizontal air track. One end of a horizontal spring is attached to the glider, and the other end is attached to the end of the track. When released, the glider oscillates in SHM with frequency 4.15 Hz. Find the period of the motion. Find the angular frequency of the motion. Find the force constant kk of the spring. Find the magnitude of the force that the spring exerts on the glider when the spring is stretched by 0.0200 m.

Chapter 19 Solutions

Vector Mechanics For Engineers

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 - A 20-lb block is initially held so that the...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 - A 5-kg fragile glass vase is surrounded by packing...

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.

(a) The speed at which the resonance will occur.

Solution Summary: The author calculates the speed at which the resonance will occur, based on the following information: the mass of the trailer and its load is 250kg.