PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 22, Problem 58P
To determine
The amplitude of steady state vibration of the motor.
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Vibrations
The restroom door is equipped with a torsional spring and a torsional viscousdamper so that it automatically returns to its closed position after being opened. The door has amass of 60 kg and a centroidal moment of inertia about an axis parallel to the axis of the door’srotation of 7.2 kg m2. The torsional spring has a stiffness of 25 Nm/rad.
a. What is the damping coefficient such that the system is critically damped?b. A man with an armload of packages, but in a hurry, kicks the closed door to cause it to open.What angular velocity must his kick impart to cause the door to open 700?
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Consider the given wing vibration model, determine the equations of motion of the system. Note that the “G” is the center of mass and “e” is the distance to the point of rotation.
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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- What is the period for small oscillations of the half cylinder shown in the figure. Mass of the cylinder is M; radius of the cylinder is "r" and the cylinder rolls back and forth without slipping. 11 rlarrow_forwardi need the answer quicklyarrow_forwardChapter Six Vibrations b) Find the differential - 2a- B equation for small oscillations in terms of 0 for the uniform rod of mass m. Also show that if c < /mk/2, oingM in the ngn oloddiH , then system remains underdamped. The rod is in a horizonta! position erboM gninoonign oloddiH 0A S when it is in equilibrium. SOLUTION TotooV Jol1.3 brs ..u.Y...M..... ... 21990 0.8 bas onol nuon8.2.A baa veolor ..arrow_forward
- A simply supported beam of square cross section 5 mm X 5 mm and length 1 m, carrying a mass of 2.3 kg at the middle, is found to have a natural frequency of transverse vibration of 30 rads. A- Find eq. of motion for the system. B- Radial natural frequency . C- Linear natural frequency. D- Periodic time. E- Displacement ,velocity & acceleration if x(0)=0, v(0)=0. H W-2arrow_forwardWhat’s the answer for this please ?arrow_forwardA olb ucight is attached to a spring with natural length SA.With the attached, the spring measures Seaft. The weight is initially displaced 3f bekw equilibrium and given an upward veloci ty of at/s. The medium resists the motion w/ force of one ib for each fAlsec of velacity. a Jwhat is the hatural frequency of the mass and spring in herts? a)What is the criti cal damping coefficient in 1b-sec/f? secends will the mass cross the equilibriom for the 3) After how many and time? 4) What is the dam ping conditi on?arrow_forward
- Find the equation of motion using the Lagrangian method?arrow_forwardMohammed Mahad Tabook A lathe can be modeled as an electric motor mounted on a steel table. The table plus rotor have a mass of 100 kg. The rotating parts of the lathe have a mass of 10 kg at a distance 0.1 m from the center. The damping ratio of the system is measured to be zeta= 0.06 (viscous damping) and its natural frequency is 7.5 Hz and the driving frequency is 30HZ The natural frequency in rad/s is Choose.. The driving frequency in rad/s is Choose... The frequency ratio is Choose... The amplitude of the steady-state displacement of the motor (in mm) Choose... the phase shift of the steady state displacement (in rad) is Choose... +arrow_forwardThe flexible footbridge shown spans shark infested waters. Humans are expected to walk across the bridge and shake it with a harmonic force of 250 N at a rate of 2 Hz. A tuned vibration absorber is hung from the bridge to mitigate steady-state vibrations of the bridge. The spring stiffness is ka is 1000 N/m. What value is needed for the absorber mass ma? maarrow_forward
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