Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 22.1, Problem 15P
To determine
The mass of a block placed on the empty platform and the stiffness of each of the springs.
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When a 20-lb weight is suspended from a spring, the spring is stretched a distance of 4 in. Determine the natural frequency and the period of vibration for a 10-lb weight attached to the same spring.
A 3 kg mass suspended from a spring having stiffness of k= 200N/m. if the block is pushed 50mm upward from its equilibrium position and then released from rest
a) Determine the amplitude and the frequency of the vibration
A 3-kg block is suspended from a spring having a stiffness of k = 200 N/m. If the block is pushed 50 mm upward from its equilibrium position and then released from rest, determine the equation that describes the motion. What are the amplitude and the natural frequency of the vibration? Assume that positive displacement is downward.
Chapter 22 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 22.1 - A spring is stretched 175 mm by an 8-kg block. If...Ch. 22.1 - A spring has a stiffness of 800 N/m. If a 2-kg...Ch. 22.1 - Prob. 3PCh. 22.1 - Prob. 4PCh. 22.1 - Prob. 5PCh. 22.1 - Prob. 6PCh. 22.1 - Prob. 7PCh. 22.1 - Prob. 8PCh. 22.1 - A 3-kg block is suspended from a spring having a...Ch. 22.1 - Prob. 10P
Ch. 22.1 - While standing in an elevator, the man holds a...Ch. 22.1 - Determine the natural period of vibration of the...Ch. 22.1 - Prob. 13PCh. 22.1 - Prob. 14PCh. 22.1 - Prob. 15PCh. 22.1 - Prob. 16PCh. 22.1 - Prob. 17PCh. 22.1 - The uniform beam is supported at its ends by two...Ch. 22.1 - Prob. 19PCh. 22.1 - A uniform board is supported on two wheels which...Ch. 22.1 - If the wire AB is subjected to a tension of 20 lb,...Ch. 22.1 - The bar has a length l and mass m. It is supported...Ch. 22.1 - Prob. 23PCh. 22.1 - Prob. 24PCh. 22.1 - If the disk in Prob. 22-24 has a mass of 10 kg,...Ch. 22.1 - A flywheel of mass m which has a radius of...Ch. 22.1 - Prob. 27PCh. 22.1 - The platform AB when empty has a mass of 400 kg...Ch. 22.1 - The plate of mass m is supported by three...Ch. 22.2 - Prob. 30PCh. 22.2 - Prob. 31PCh. 22.2 - Prob. 32PCh. 22.2 - If the 20-kg wheel is displaced a small amount and...Ch. 22.2 - Determine the differential equation of motion of...Ch. 22.2 - Prob. 35PCh. 22.2 - Prob. 36PCh. 22.2 - Prob. 37PCh. 22.2 - Prob. 38PCh. 22.2 - Prob. 39PCh. 22.2 - If the slender rod has a weight of 5 lb, determine...Ch. 22.6 - If the block-and-spring model is subjected to the...Ch. 22.6 - A block which has a mass m is suspended from a...Ch. 22.6 - A 4-lb weight is attached to a spring having a...Ch. 22.6 - A 4-kg block is suspended from a spring that has a...Ch. 22.6 - Use a block-and-spring model like that shown in...Ch. 22.6 - A 5-kg block is suspended from a spring having a...Ch. 22.6 - The uniform rod has a mass of m. If it is acted...Ch. 22.6 - Prob. 48PCh. 22.6 - The light elastic rod supports a 4-kg sphere. When...Ch. 22.6 - Find the differential equation for small...Ch. 22.6 - Prob. 51PCh. 22.6 - Prob. 52PCh. 22.6 - The fan has a mass of 25 kg and is fixed to the...Ch. 22.6 - In Prob. 22-53 , determine the amplitude of...Ch. 22.6 - Prob. 55PCh. 22.6 - Prob. 56PCh. 22.6 - Prob. 57PCh. 22.6 - Prob. 58PCh. 22.6 - Prob. 59PCh. 22.6 - Prob. 60PCh. 22.6 - Prob. 61PCh. 22.6 - Prob. 62PCh. 22.6 - Prob. 63PCh. 22.6 - Prob. 64PCh. 22.6 - Prob. 65PCh. 22.6 - Determine the magnification factor of the block,...Ch. 22.6 - Prob. 67PCh. 22.6 - The 200-lb electric motor is fastened to the...Ch. 22.6 - Prob. 69PCh. 22.6 - Prob. 70PCh. 22.6 - If the amplitude of the 50-lb cylinder's...Ch. 22.6 - Prob. 72PCh. 22.6 - Prob. 73PCh. 22.6 - Prob. 74PCh. 22.6 - Prob. 75PCh. 22.6 - Prob. 76PCh. 22.6 - Prob. 77PCh. 22.6 - Prob. 78PCh. 22.6 - Prob. 79P
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- It is desired to adjust the damping of the passenger car's suspension so that the vibration is damped to one tenth of the original during one oscillation. Based on this, determine the relative attenuation constant D (give the answer to two decimal places). The car has a mass of 1500 kg and the body frequency is 1.32 Hz.arrow_forwardWhen a 2-kg block is suspended from a spring, the spring is stretched a distance of 40 mm. Determine the frequency of vibration for a O.5-kg block attached to the same spring.arrow_forwardA vehicle of mass m = 500 kg travels over a long terrain that is approximately sinusoidal:y = d sin(2πx/l)where l = 2 m and d = 0.012 m. The suspension stiffness k = 8 × 103 N/m.(a) Determine the velocity of the vehicle at which resonant vibration occurs.(b) Determine the amplitude of the steady-state vibration of the vehicle if it travels at speedv = 100 km/hour.arrow_forward
- Determine a natural frequency of vibration as a function of k₁, k₂. g and W of a spring-mass system placed on a inclined plane as shown in the figure:arrow_forwardA 3.2 kg piece of putty is dropped 2.3 m onto the initially stationary block, which is supported by four springs, each of which has a constant k = 900 n/m. Determine the displacement x as a function of time during the resulting vibration, where x is measured from the initial position of the block as shown.arrow_forwardWhile standing in an elevator, the man holds a pendulum which consists of an 18-in. cord and a 0.5-lb bob. If the elevator is descending with an acceleration a = 4 ft/s2, determine the natural period of vibration for small amplitudes of swing.arrow_forward
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