Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 8.2, Problem 17P
To determine
The equivalent spring stiffness.
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Q.5: (10 Marks) Select the correct answer (choose 10 only)
1. The forward whirling speed is ......... the static structure tilting speed.
(a) Less than
(b) Higher than
(c) equal to
2. The divergence between the forward and backward whirling speeds increases as:
(a) The rotating speed increase (b) the polar moment of inertia increases
(c) Both (a) and (b)
(d) do not change
3. Increasing the system natural frequency can be done by:
(a) add masses (b) adding braces and supports (c) increase damping
4. The amplitude of vibration due to external force can be reduced by:
(a) Increasing damping (b) Decreasing damping (c) Increasing mass
5. Tuned absorbers are used to:
(a) Shift the natural frequency (b) increase damping (c) Increase stiffness
6. Accelerometers sensors contains:
г
(a) Piezoelectric materials (b) Magnet and coil (c) coil only
7. Increasing the stiffness of the system causes:
(a) Less transmitted force (b) more transmitted force (c) Transmitted force does not
change
8. The…
Q.1: (15 Marks)
Find the first three natural frequencies and mode shapes of the axial and torsional
vibration for a steel shaft free at both ends, having a length of 3 m. Find the subsequent
axil motion if the shaft is subjected to the following initial conditions, given that E = 210
GPa, G=80 GPa, p = 7800 kg/m³:
f(x)=0
v(x) = {1
2.8
Q.4: (15 Marks)
A uniform rotor of mass 500 kg and diametral moment of inertia of 20 kg.m², is supported
by identical short bearings of stiffness 1 MN/m in the horizontal and vertical directions. If
the distance between the bearings is 0.6 m:
(a) What is the corresponding polar moment of inertia if the backward whirling speed is
80% of the static structure tilting natural frequency?
(b) Determine the forward whirling speed.
45.27
Chapter 8 Solutions
Engineering Mechanics: Dynamics
Ch. 8.2 - When a 3-kg collar is placed upon the pan which is...Ch. 8.2 - Prob. 2PCh. 8.2 - Prob. 3PCh. 8.2 - For the system of Prob. 8/2, determine the...Ch. 8.2 - Prob. 5PCh. 8.2 - Prob. 6PCh. 8.2 - Prob. 7PCh. 8.2 - The vertical plunger has a mass of 2.5 kg and is...Ch. 8.2 - Determine the period τ for the system shown. The...Ch. 8.2 - Prob. 10P
Ch. 8.2 - Prob. 11PCh. 8.2 - Prob. 12PCh. 8.2 - Prob. 13PCh. 8.2 - Prob. 14PCh. 8.2 - Prob. 15PCh. 8.2 - Calculate the natural frequency fn of vibration if...Ch. 8.2 - Prob. 17PCh. 8.2 - Prob. 18PCh. 8.2 - Prob. 19PCh. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - Prob. 23PCh. 8.2 - Prob. 24PCh. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.2 - Prob. 31PCh. 8.2 - Prob. 32PCh. 8.2 - Prob. 33PCh. 8.2 - Prob. 34PCh. 8.2 - Derive the differential equation of motion for the...Ch. 8.2 - Prob. 36PCh. 8.2 - Determine the equation of motion for the system in...Ch. 8.2 - Prob. 38PCh. 8.2 - Prob. 39PCh. 8.2 - Prob. 40PCh. 8.2 - Prob. 41PCh. 8.2 - Prob. 42PCh. 8.2 - Prob. 43PCh. 8.2 - Prob. 44PCh. 8.3 - Prob. 45PCh. 8.3 - Prob. 46PCh. 8.3 - Prob. 47PCh. 8.3 - Prob. 48PCh. 8.3 - Prob. 49PCh. 8.3 - Prob. 50PCh. 8.3 - Prob. 51PCh. 8.3 - Prob. 52PCh. 8.3 - Prob. 53PCh. 8.3 - The 4-lb body is attached to two springs, each of...Ch. 8.3 - Prob. 55PCh. 8.3 - The motion of the outer frame B is given by xB = b...Ch. 8.3 - Prob. 57PCh. 8.3 - Prob. 58PCh. 8.3 - When the person stands in the center of the floor...Ch. 8.3 - Prob. 60PCh. 8.3 - Derive the equation of motion for the inertial...Ch. 8.3 - Prob. 62PCh. 8.3 - Prob. 63PCh. 8.3 - Prob. 64PCh. 8.3 - Prob. 65PCh. 8.3 - Prob. 66PCh. 8.3 - Derive and solve the equation of motion for the...Ch. 8.3 - Prob. 68PCh. 8.3 - Prob. 69PCh. 8.3 - Prob. 70PCh. 8.4 - The light rod and attached small spheres of mass m...Ch. 8.4 - Prob. 72PCh. 8.4 - The thin square plate is suspended from a socket...Ch. 8.4 - Prob. 74PCh. 8.4 - The 20-lb spoked wheel has a centroidal radius of...Ch. 8.4 - Prob. 76PCh. 8.4 - The uniform sector has mass m and is freely hinged...Ch. 8.4 - Prob. 78PCh. 8.4 - Prob. 79PCh. 8.4 - Prob. 80PCh. 8.4 - Prob. 81PCh. 8.4 - Prob. 82PCh. 8.4 - Prob. 83PCh. 8.4 - Prob. 84PCh. 8.4 - Prob. 85PCh. 8.4 - Prob. 86PCh. 8.4 - Prob. 87PCh. 8.4 - Prob. 88PCh. 8.4 - Prob. 89PCh. 8.4 - Prob. 90PCh. 8.4 - Prob. 91PCh. 8.4 - Prob. 92PCh. 8.4 - Prob. 93PCh. 8.4 - Prob. 94PCh. 8.4 - Prob. 95PCh. 8.4 - Prob. 96PCh. 8.5 - The 1.5-kg bar OA is suspended vertically from the...Ch. 8.5 - The light rod and attached sphere of mass m are at...Ch. 8.5 - A uniform rod of mass m and length l is welded at...Ch. 8.5 - The spoked wheel of radius r, mass m, and...Ch. 8.5 - Prob. 101PCh. 8.5 - The length of the spring is adjusted so that the...Ch. 8.5 - The body consists of two slender uniform rods...Ch. 8.5 - By the method of this article, determine the...Ch. 8.5 - Prob. 105PCh. 8.5 - Prob. 106PCh. 8.5 - Prob. 107PCh. 8.5 - Prob. 108PCh. 8.5 - Prob. 109PCh. 8.5 - Prob. 110PCh. 8.5 - Prob. 111PCh. 8.5 - Prob. 112PCh. 8.5 - Prob. 113PCh. 8.5 - Prob. 114PCh. 8.5 - Prob. 115PCh. 8.5 - Prob. 116PCh. 8.5 - Prob. 117PCh. 8.5 - The quarter-circular sector of mass m and radius r...Ch. 8.6 - Prob. 119RPCh. 8.6 - Prob. 120RPCh. 8.6 - Prob. 121RPCh. 8.6 - Prob. 122RPCh. 8.6 - Prob. 123RPCh. 8.6 - Prob. 124RPCh. 8.6 - Prob. 125RPCh. 8.6 - Prob. 126RPCh. 8.6 - Prob. 127RPCh. 8.6 - Prob. 128RPCh. 8.6 - Prob. 129RPCh. 8.6 - Prob. 130RPCh. 8.6 - Prob. 131RPCh. 8.6 - Prob. 132RPCh. 8.6 - Prob. 133RPCh. 8.6 - Prob. 137RPCh. 8.6 - Prob. 138RPCh. 8.6 - Prob. 139RPCh. 8.6 - Prob. 140RP
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