PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 22, Problem 5P
To determine
The natural frequency and the period of vibration for a block attached to the same spring.
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Chapter 22 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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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- Solve the problem. A particle is attached to a spring that creates a vibration with a frequency of 8 Hz. Determine the period of vibrations and the angular frequency.arrow_forwardA bungee jumper weighing 160 lb ties one end of an elastic rope with a length of 200 ft and stiffness of 10 lb/in in to a bridge and the other end to himself. If the man jumps off the bridge and assuming that the bridge is rigid, determine the natural frequency of vibration.arrow_forwardDetermine the natural frequency of free oscillations for the pulley system if the stiffness of the spring is 1.6 N/mm and the mass of the pulley is neglected. Answer: 2.32 Hzarrow_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_forwardA spring extends by 5 centimeters when loaded vertically with 2.5kg of weight. A new weight of 1.75kg was attached to it and was displaced 6cm from its new equilibrium position and was released from rest. Determine the frequency of vibration in rad per second?arrow_forwardA motor, turning at 1800 rpm, in a machine is slightly out of balance. It causes the machine to vibrate vertically. In order to measure the amplitude of the machine vibration a device consisting of a mass is attached to a cantilever beam as shown. The device has a scale so that the amplitude of the vibration of the mass, 8, can be measured. If 8 = 3.2 mm what is z the amplitude of the machine vibration. The mass at the end of the cantilever is m = 1 kg and the spring constant of the cantilever is k = 50 x 10³ N/m. MASS SCALE CANTILEVER 1800 RPH MOTORarrow_forward
- A weight attached to a spring of stiffness 3.0 lb/in has a viscous damping device. When the weight is displaced and released, the period of vibration is found to be 1.80 seconds and the ratio of consecutive amplitudes is 4.2 to 1.0. Determine the amplitude and phase angle when a force F-2cos(3t) acts on the system.arrow_forwardDetermine the velocity and frequency of vibration of a rope 6 m long with a mass of 2 kg and stretched with tension of 192 N.arrow_forwardA 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 vibrationarrow_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 = 0.4 ft upward from its equilibrium position and then released from rest. What is the amplitude of the vibration? Assume that positive displacement is downwardarrow_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_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
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