EP ENGR.MECH.:DYNAMICS-STANDALONE ACC.
14th Edition
ISBN: 9780133976601
Author: HIBBELER
Publisher: PEARSON CO
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Chapter 22.6, Problem 42P
To determine
The equation which describes the position of the block as a function of time.
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I
Draw the free-body diagrams and write the differential equations of motion for
the two masses in terms of x₁ and .x2.
b. Find x₁, and X20, the constant displacements of the masses caused by the gravita-
tional forces when fa(t) = 0 and when the system is in static equilibrium.
K₁
Rewrite the system equations in terms of z₁ and 22, the relative displacements of
the masses with respect to the static-equilibrium positions found in part (b).
K₂
ele
M₂
fa(1)
M₁
IIL
B
Figure P2.15
111
ele
///
K
M₁
000
M₂
K
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000
K
fa(1)
Figure P2.16
2.16. Repeat all three parts of Problem 2.15 for the system shown in Figure P2.16. Each of
the three springs has the same spring constant K.
Determine the spring constant k4 (N/m) if the extension of the whole system is 1.44 m when a force of 29.86 N is
applied. Use k1 - 12.67 N/m, k2 - 11.1 N/m, k3 - 28.39 N/m, and k5 - 33.91 N/m. (Use 2 decimal places for the
final answer.)
k
k3
The 18-lb box shown is attached to a spring that has a k=2 lb/in and an
unstretched length of 14 inches. As shown the spring is stretched to a
length of 20 inches. Solve for the unknown force P needed to keep the
block in equilibrium. What is the normal force on the block? Assume
the surface is smooth. (Note, "smooth" tells you friction is small enough
to be neglected.)
20"
TTTTTT
P
Chapter 22 Solutions
EP ENGR.MECH.:DYNAMICS-STANDALONE ACC.
Ch. 22.1 - A spring is stretched 175 mm by an 8-kg block. If...Ch. 22.1 - Prob. 2PCh. 22.1 - A spring is stretched 200 mm by a 15-kg block. If...Ch. 22.1 - When a 20-lb weight is suspended from a spring,...Ch. 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 - Prob. 11PCh. 22.1 - 22-12. Determine the natural period of vibration...Ch. 22.1 - The body of arbitrary shape has a mass m, mass...Ch. 22.1 - Determine the torsional stiffness k, measured in...Ch. 22.1 - Prob. 15PCh. 22.1 - Prob. 16PCh. 22.1 - If the natural periods of oscillation of the...Ch. 22.1 - Prob. 18PCh. 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 - The 20-kg disk, is pinned at its mass center O and...Ch. 22.1 - Prob. 24PCh. 22.1 - If the disk in Prob. 22-24 has a mass of 10 kg,...Ch. 22.1 - Prob. 26PCh. 22.1 - Prob. 27PCh. 22.1 - Prob. 28PCh. 22.1 - Prob. 29PCh. 22.2 - Determine the differential equation of motion of...Ch. 22.2 - Determine the natural period of vibration of the...Ch. 22.2 - Determine the natural period of vibration of the...Ch. 22.2 - Prob. 33PCh. 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 - Prob. 42PCh. 22.6 - A 4-lb weight is attached to a spring having a...Ch. 22.6 - Prob. 44PCh. 22.6 - Prob. 45PCh. 22.6 - Prob. 46PCh. 22.6 - Prob. 47PCh. 22.6 - Prob. 48PCh. 22.6 - Prob. 49PCh. 22.6 - Prob. 50PCh. 22.6 - The 40-kg block is attached to a spring having a...Ch. 22.6 - The 5kg circular disk is mounted off center on a...Ch. 22.6 - Prob. 53PCh. 22.6 - Prob. 54PCh. 22.6 - Prob. 55PCh. 22.6 - Prob. 56PCh. 22.6 - Prob. 57PCh. 22.6 - Prob. 58PCh. 22.6 - Prob. 59PCh. 22.6 - The 450-kg trailer is pulled with a constant speed...Ch. 22.6 - Prob. 61PCh. 22.6 - Prob. 62PCh. 22.6 - Prob. 63PCh. 22.6 - The spring system is connected to a crosshead that...Ch. 22.6 - Prob. 65PCh. 22.6 - Prob. 66PCh. 22.6 - Prob. 67PCh. 22.6 - The 200-lb electric motor is fastened to the...Ch. 22.6 - Prob. 69PCh. 22.6 - If two of these maximum displacements can be...Ch. 22.6 - Prob. 71PCh. 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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