SYSTEM DYNAMICS LL+CONNECT
3rd Edition
ISBN: 9781264201891
Author: Palm
Publisher: MCG CUSTOM
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Chapter 2, Problem 2.13P
Solve the following problems:
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5. A round aluminum sleeve with an outer diameter of 300 mm and an inner diameter of 200 mm is pressed onto a round steel sleeve with an inner diameter of 100 mm. The radial interference between
the two sleeves is 6 = 0.25 mm. Let Ex = 72 GPa, VA = 0.33, E, = 200 GPa and v; = 0.29. Determine the
following: (19 points)
The interference pressure, p. in MPa between the two sleeves
The change in the inner radius in the aluminum sleeve, u, in millimeters
If the allowable tangential stress, do, in the aluminum is 180 MPa, determine the safety factor in the aluminum with respect to failure due to tangential stress. You may ignore the radial stres
7
ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ᴍɪɴɪᴍᴜᴍ ᴅɪᴀᴍᴇᴛᴇʀ ᴏꜰ ᴀ ᴛᴀᴘᴇʀ ᴘɪɴ ꜰᴏʀ ᴜꜱᴇ ᴛᴏ ꜰɪx ᴀ ʟᴇᴠᴇʀ ᴛᴏ ᴀ ꜱʜᴀꜰᴛ, ɪꜰ ɪᴛ ɪꜱ ᴛᴏ ᴛʀᴀɴꜱᴍɪᴛ ᴀ ᴍᴀxɪᴍᴜᴍ ᴛᴏʀQᴜᴇ ᴏꜰ 750 ɪɴ-ʟʙ. ᴛʜᴇ ꜱʜᴀꜰᴛ ᴅɪᴀᴍᴇᴛᴇʀ ɪꜱ 1.5 ɪɴᴄʜᴇꜱ ᴀɴᴅ ʜᴀꜱ ᴀ ꜱᴛʀᴇꜱꜱ ᴏꜰ 20,000 ᴘꜱɪ.
ᴀ. 0.252 ɪɴ ʙ. 0.452 ɪɴ ᴄ. 0.642 ɪɴ ᴅ. 0.826 ɪɴ
Two blocks are connected by an ideal string, which passes over a pulley without slipping (see figure). The magnitudes of the wire voltages applied to blocks 1 and 2 are represented, respectively, by T1 and T2. Consider T2>T1. In this case, the pulley rotates counterclockwise.
The pulley has radius R=0.10 m and rotates around an axis perpendicular to its surface passing through its CM. The CM of the pulley coincides with its center.
The pulley's moment of inertia about the axis of rotation is denoted by I and its angular acceleration is α=0.50 rad/s2.
If T2=87 N and T1=50 N, determine I (in kg⋅m2).
A) 0,67
B) 0,56
C) 15
D) 28
E) 24
F) 0,85
G) 14
H) 7,4
Chapter 2 Solutions
SYSTEM DYNAMICS LL+CONNECT
Ch. 2 - Prob. 2.1PCh. 2 - Solve each of the following problems by direct...Ch. 2 - Solve each of the following problems by separation...Ch. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Obtain the Laplace transform of the following...Ch. 2 - Obtain the Laplace transform of the function shown...Ch. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Obtain the inverse Laplace transform xt for each...Ch. 2 - Solve the following problems: 5x=7tx0=3...Ch. 2 - Solve the following: 5x+7x=0x0=4 5x+7x=15x0=0...Ch. 2 - Solve the following problems: x+10x+21x=0x0=4x0=3...Ch. 2 - Solve the following problems: x+7x+10x=20x0=5x0=3...Ch. 2 - Solve the following problems: 3x+30x+63x=5x0=x0=0...Ch. 2 - Solve the following problems where x0=x0=0 ....Ch. 2 - Invert the following transforms: 6ss+5 4s+3s+8...Ch. 2 - Invert the following transforms: 3s+2s2s+10...Ch. 2 - Prob. 2.21PCh. 2 - Compare the LCD method with equation (2.4.4) for...Ch. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - (a) Prove that the second-order system whose...Ch. 2 - For each of the following models, compute the time...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - If applicable, compute , , n , and d for the...Ch. 2 - Prob. 2.31PCh. 2 - For each of the following equations, determine the...Ch. 2 - Prob. 2.33PCh. 2 - Obtain the transfer functions Xs/Fs and Ys/Fs for...Ch. 2 - a. Obtain the transfer functions Xs/Fs and Ys/Fs...Ch. 2 - Prob. 2.36PCh. 2 - Solve the following problems for xt . Compare the...Ch. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Determine the general form of the solution of the...Ch. 2 - a. Use the Laplace transform to obtain the form of...Ch. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Obtain the inverse transform in the form xt=Asint+...Ch. 2 - Use the Laplace transform to solve the following...Ch. 2 - Express the oscillatory part of the solution of...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - 2.54 The Taylor series expansion for tan t...Ch. 2 - 2.55 Derive the initial value theorem:
Ch. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Use MATLAB to obtain the inverse transform of the...Ch. 2 - Use MATLAB to obtain the inverse transform of the...Ch. 2 - Use MATLAB to solve for and plot the unit-step...Ch. 2 - Use MATLAB to solve for and plot the unit-impulse...Ch. 2 - Use MATLAB to solve for and plot the impulse...Ch. 2 - Use MATLAB to solve for and plot the response of...
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