EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137569830
Author: HIBBELER
Publisher: VST
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Chapter 22, Problem 60P
To determine
The speed that will cause the greatest vibration of the trailer.
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Determine the natural period of vibration of the pendulum if it is
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each having a weight of 120 N/m.
A 2-lb weight is suspended from a spring having a stiffness k = 2 lb/in. If the weight is pushed 1 in. upward from its equilibrium position and then released from rest, determine the equation which describes the motion. What is the amplitude and the natural frequency of the vibration?
A car of mass 1300kg is constructed using a frame supported by four springs and a dash-pot with a damping 5% of critical. Each spring has a force constant 20 000N/m. If the combined mass of four people in a car is 350kg, determine the period of execution of two complete vibrations in seconds. And then calculate the vertical acceleration experienced by the occupants at t=0.5s, given the initial displacement and velocity are 0 mm and 1 m/s respectively.
Chapter 22 Solutions
EBK ENGINEERING MECHANICS
Ch. 22 - A spring is stretched 175 mm by an 8-kg block. If...Ch. 22 - A spring has a stiffness of 800 N/m. If a 2-kg...Ch. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - A 3-kg block is suspended from a spring having a...Ch. 22 - Prob. 10P
Ch. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - A uniform board is supported on two wheels which...Ch. 22 - Prob. 24PCh. 22 - Prob. 30PCh. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Determine the differential equation of motion of...Ch. 22 - Prob. 36PCh. 22 - If the block-and-spring model is subjected to the...Ch. 22 - A block which has a mass m is suspended from a...Ch. 22 - A 4-lb weight is attached to a spring having a...Ch. 22 - A 4-kg block is suspended from a spring that has a...Ch. 22 - A 5-kg block is suspended from a spring having a...Ch. 22 - Prob. 48PCh. 22 - The light elastic rod supports a 4-kg sphere. When...Ch. 22 - Find the differential equation for small...Ch. 22 - Prob. 52PCh. 22 - The fan has a mass of 25 kg and is fixed to the...Ch. 22 - In Prob. 22-53 , determine the amplitude of...Ch. 22 - Prob. 55PCh. 22 - Prob. 56PCh. 22 - Prob. 57PCh. 22 - Prob. 58PCh. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 65PCh. 22 - Determine the magnification factor of the block,...Ch. 22 - Prob. 67PCh. 22 - The 200-lb electric motor is fastened to the...Ch. 22 - Prob. 70PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 79P
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- The uniform beam is supported at its ends by two springs A and B, each having the same stiffness k. When nothing is supported on the beam, it has a period of vertical vibration of 0.83 s. If a 50-kg mass is placed at its center, the period of vertical vibration is 1.52 s. Compute the stiffness of each spring and the mass of the beam. Ok k = 305 N/m and mB Ok k = 408 N/m and mB k = 609 N/m and mB = 2 n - - O10 11 11Ն ՆԱ B 1 = हarrow_forwardQ6/ Find the natural frequency of vibration for the system shown, when Kı = 10 N/mm, K2 = 5 N/mm, K3 = 3 N/mm and W = 109 N. K2 3 KI K3 Warrow_forwardGiven Required Solutionarrow_forward
- A block having a weight of 8 lb is suspended from a spring having a stiffness k = 40 Ib/ft. If the block is pushed y = 0.2 ft upward from its equilibrium position and then released from rest. What is the natural frequency of the vibration? Assume that positive displacement is downward.arrow_forward3. The pendulum has two masses of mass m = .16 kg attached to a lightweight frame. ß = 45°. r = 10cm. If the system is forced with a periodic torque at O, what is the forcing frequency which maximizes the oscillation amplitude? What is the predicted oscillation amplitude at that frequency? m marrow_forwardAn 8-kgkg block is suspended from a spring having a stiffness k=80N/mk=80N/m. If the block is given an upward velocity of 0.4 mm // ss when it is 90 mmmm above its equilibrium position, determine the equation which describes the motion of the block measured from the equilibrium position. Assume that positive displacement is measured downward. Determine the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is measured downward.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_forwardQ2 Determine the response of the system when k = 1000 N/m, m = 20 kg, and the initial values of the displacements of the masses m₁ and m₂ are 1 and -1, respectively. Base k₂ m₁ m₂ x₁(1) x₂(1)arrow_forwardA mass of 4 kg is suspended from a spring and oscillates up and down at 2 Hz. Determine the stiffness of the spring if the amplitude of the oscillation is 5 mm. Determine the displacement, velocity, and acceleration 0.02 seconds after the mass passes through the mean or rest position in an upward direction.arrow_forward
- The block (mass not given) is subjected to the force F = (910 sin(5.3t)) N, where t is in seconds. The spring constant (of each of the springs) is k = 347 N/m. The damping ratio is c/cc = 0.69. If the natural frequency of vibrations is fn = 1.02 Hz, what is the amplitude (in meters) of the steady-state vibrations? Choose the correct answer: a) There is not enough information to solve b) 910.000 c) 1.107 d) 2.215 e) 0.049arrow_forwardIt 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_forwardAn electric motor with a mass of 20 kg is placed in the middle of a beam that is jointly connected on both sides. Rotor its unbalance is equivalent to a mass of 0.3 kg at a distance of 0.020 m from the axis of rotation. Due to the electric motor force acting on the beam t Sin F F 0 . The rotor is rotating at an angular speed of = 40 rad / sec. Engine under the influence of force Find the displacement amplitude at the point where it is located (in the middle). The beam mass will be neglected. The beam has a modulus of elasticity E = 200000000000 N / m2 (200 GPa).arrow_forward
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Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license