Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 20.3, Problem 6P
The conical spool rolls on the plane without slipping. If the axle has an angular velocity of ω1 = 3 rad/s and an angular acceleration of α1 = 2 rad/s2 at the instant shown, determine the angular velocity and angular acceleration of the spool at this instant.
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20.
[Ans. 9; 71.8 mm]
A semi-elliptical laminated spring is made of 50 mm wide and 3 mm thick plates. The length between
the supports is 650 mm and the width of the band is 60 mm. The spring has two full length leaves and
five graduated leaves. If the spring carries a central load of 1600 N, find:
1. Maximum stress in full length and graduated leaves for an initial condition of no stress in the
leaves.
2. The maximum stress if the initial stress is provided to cause equal stress when loaded.
[Ans. 590 MPa ; 390 MPa ; 450 MPa ; 54 mm]
3. The deflection in parts (1) and (2).
Q6/ A helical square section spring is set inside another, the outer spring having a free
length of 35 mm greater than the inner spring. The dimensions of each spring are as
follows:
Mean diameter (mm)
Side of square section (mm)
Active turns
Outer
Inner
Spring
Spring
120
70
8
7
20
15
Determine the (1) Maximum deflection of the two springs and (2) Equivalent spring
rate of the two springs after sufficient load has been applied to deflect the outer
spring 60 mm. Use G = 83 GN/m².
Q2/ The bumper springs of a railway carriage are to be made of rectangular section wire.
The ratio of the longer side of the wire to its shorter side is 1.5, and the ratio of mean
diameter of spring to the longer side of wire is nearly equal to 6. Three such springs
are required to bring to rest a carriage weighing 25 kN moving with a velocity of
75 m/min with a maximum deflection of 200 mm. Determine the sides of the
rectangular section of the wire and the mean diameter of coils when the shorter side is
parallel to the axis of the spring. The allowable shear stress is not to exceed 300 MPa
and G = 84 kN/mm².
Q6/ A belical
Chapter 20 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 20.3 - The propeller of an airplane is rotating at a...Ch. 20.3 - The disk rotates about the z axis at a constant...Ch. 20.3 - The ladder of the fire truck rotates around the z...Ch. 20.3 - The ladder of the fire truck rotates around the z...Ch. 20.3 - Prob. 5PCh. 20.3 - The conical spool rolls on the plane without...Ch. 20.3 - At a given instant, the antenna has an angular...Ch. 20.3 - The disk rotates about the shaft S, while the...Ch. 20.3 - The electric fan is mounted on a swivel support...Ch. 20.3 - The electric fan is mounted on a swivel support...
Ch. 20.3 - Prob. 12PCh. 20.3 - Prob. 13PCh. 20.3 - The wheel is spinning about shaft AB with an...Ch. 20.3 - Prob. 15PCh. 20.3 - Prob. 16PCh. 20.3 - The truncated double cone rotates about the z axis...Ch. 20.3 - Gear A is fixed to the crankshaft S, while gear C...Ch. 20.3 - Prob. 20PCh. 20.3 - Gear B is driven by a motor mounted on turntable...Ch. 20.3 - Prob. 22PCh. 20.3 - Prob. 23PCh. 20.3 - Prob. 24PCh. 20.3 - Disk A rotates at a constant angular velocity of...Ch. 20.3 - Prob. 26PCh. 20.3 - Prob. 27PCh. 20.3 - Prob. 28PCh. 20.3 - Prob. 29PCh. 20.3 - Prob. 30PCh. 20.3 - Prob. 31PCh. 20.3 - Prob. 32PCh. 20.3 - Prob. 33PCh. 20.3 - Prob. 34PCh. 20.3 - Prob. 35PCh. 20.3 - Prob. 36PCh. 20.4 - So1ve Example 20.5 such that the x, y, z axes move...Ch. 20.4 - Prob. 38PCh. 20.4 - At the instant = 60, the telescopic boom AB of...Ch. 20.4 - Prob. 40PCh. 20.4 - At the instant shown, the arm AB is rotating about...Ch. 20.4 - Prob. 42PCh. 20.4 - Prob. 43PCh. 20.4 - Prob. 44PCh. 20.4 - Prob. 45PCh. 20.4 - Prob. 46PCh. 20.4 - Prob. 47PCh. 20.4 - Prob. 48PCh. 20.4 - Prob. 49PCh. 20.4 - Prob. 50PCh. 20.4 - Prob. 51PCh. 20.4 - Prob. 52PCh. 20.4 - Prob. 53PCh. 20.4 - Prob. 54P
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