System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Textbook Question
Chapter 4, Problem 4.66P
Figure P4.66 shows a drive train with a spur-gear pair. The first shaft turns N times faster than the second shaft. Develop a model of the system including the elasticity of the second shaft. Assume the first shaft is rigid, and neglect the gear and shaft masses. The input is the applied torque
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In the system shown in Figure P6.20, the motor applies atorque TA = 40 N ⋅ m to the pulley at A. Through a sequence of pulleysand belts, this torque is amplified to drive a gear at E. Thepulleys have diameters DA = 50 mm, DB = 150 mm, DC = 50 mm,and DD = 250 mm.(a) Calculate the torque TE that is produced at gear E.(b) Shaft (2) is to be a solid shaft, and the maximum shear stressmust be limited to 60 MPa. What is the minimum diameterthat may be used for shaft (2)?
A maximum torque of 6.75 kNm can be supplied to the constant diameter steel (G= 80 GPa)
line shaft by a motor as shown in Figure Q2. At the current normal operation condition, three
machines are driven by gear B, C and D on the shaft and they require torques of 3.x kNm,
1.5y kNm and 1.0z kNm, respectively. Parameter x, y, and z are given by:
Q2
X=0
Y=0
Z=2
Considering the maximum torque can be supplied by motor, determine the minimum
diameter required if the maximum shearing stress in the shaft is limited to 100 MPa.
Round your answer to the nearest whole number.
(a)
-Bearing
D
Figure Q2
For the double slider mechanism shown in the following figure, the crank OA rotates at a uniform speed of 100 rad/s CW.
we need to find the required torque for the crank, if two forces act at sliders B and C as shown in the figure. (P = 2KN, Q = 1KN).
OA = 30 cm, AB = AC = 100 cm.
mB = mC = 1 Kg. Neglect other links weights.
The velocity of slip of slider B in m/s2 = Answer 1
Choose...
The velocity of slip of slider C in m/s2 =
Answer 2
Choose...
The acceleration of slip of slider B in m/s2 =
Answer 3
Choose...
The acceleration of slip of slider C in m/s2 =
Answer 4
Choose...
The magnitude of required torque for the crank in N.m =
Answer 5
Choose...
Chapter 4 Solutions
System Dynamics
Ch. 4 - Prob. 4.1PCh. 4 - In the spring arrangement shown in Figure P4.2....Ch. 4 - In the arrangement shown in Figure P4.3, a cable...Ch. 4 - In the spring arrangement shown in Figure P4.4,...Ch. 4 - For the system shown in Figure P4.5, assume that...Ch. 4 - The two stepped solid cylinders in Figure P4.6...Ch. 4 - A table with four identical legs supports a...Ch. 4 - The beam shown in Figure P4.8 has been stiffened...Ch. 4 - Determine the equivalent spring constant of the...Ch. 4 - Compute the equivalent torsional spring constant...
Ch. 4 - Plot the spring force felt by the mass shown in...Ch. 4 - Calculate the expression for the natural frequency...Ch. 4 - Prob. 4.13PCh. 4 - Obtain the expression for the natural frequency of...Ch. 4 - 4.15 A connecting rod having a mass of 3.6 kg is...Ch. 4 - Calculate the expression for the natural frequency...Ch. 4 - For each of the systems shown in Figure P4.17, the...Ch. 4 - The mass m in Figure P4.18 is attached to a rigid...Ch. 4 - In the pulley system shown in Figure P4.19, the...Ch. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - In Figure P4.23, assume that the cylinder rolls...Ch. 4 - In Figure P4.24 when x1=x2=0 the springs are at...Ch. 4 - 4.25 In Figure P4.25 model the three shafts as...Ch. 4 - In Figure P4.26 when 1=2=0 the spring is at its...Ch. 4 - Prob. 4.27PCh. 4 - For the system shown in Figure P4.28, suppose that...Ch. 4 - For the system shown in Figure P4.29, suppose that...Ch. 4 - Prob. 4.30PCh. 4 - For Figure P4.31, the equilibrium position...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - 4.34 For Figure P4.34, assume that the cylinder...Ch. 4 - Use the Rayleigh method to obtain an expression...Ch. 4 - Prob. 4.36PCh. 4 - 4.37 Determine the natural frequency of the system...Ch. 4 - Determine the natural frequency of the system...Ch. 4 - Use Rayleigh's method to calculate the expression...Ch. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - The vibration of a motor mounted on the end of a...Ch. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - A certain cantilever beam vibrates at a frequency...Ch. 4 - Prob. 4.47PCh. 4 - 4.48 The static deflection of a cantilever beam is...Ch. 4 - Figure P4.49 shows a winch supported by a...Ch. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - 4.53 In Figure P4.53 a motor supplies a torque T...Ch. 4 - Derive the equation of motion for the lever system...Ch. 4 - Prob. 4.55PCh. 4 - Figure P4.56a shows a Houdaille damper, which is a...Ch. 4 - 4.57 Refer to Figure P4.57. Determine the...Ch. 4 - For the system shown in Figure P4.58, obtain the...Ch. 4 - Find the transfer function ZsXs for the system...Ch. 4 - Prob. 4.60PCh. 4 - Find the transfer function YsXs for the system...Ch. 4 - Prob. 4.62PCh. 4 - 4.63 In the system shown in Figure P4.63, the...Ch. 4 - Prob. 4.64PCh. 4 - Figure P4.65 shows a rack-and-pinion gear in which...Ch. 4 - Figure P4.66 shows a drive train with a spur-gear...Ch. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Figure P4.70 shows a quarter-car model that...Ch. 4 - Prob. 4.71PCh. 4 - 4.72 Derive the equation of motion for the system...Ch. 4 - A boxcar moving at 1.3 m/s hits the shock absorber...Ch. 4 - For the systems shown in Figure P4.74, assume that...Ch. 4 - Refer to Figure P4.75a, which shows a ship’s...Ch. 4 - In this problem, we make all the same assumptions...Ch. 4 - Refer to Figure P4.79a, which shows a water tank...Ch. 4 - The “sky crane” shown on the text cover was a...Ch. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - Suppose a mass in moving with a speed 1 becomes...Ch. 4 - Consider the system shown in Figure 4.6.3. Suppose...Ch. 4 - Prob. 4.86PCh. 4 - Figure P4.87 shows a mass m with an attached...Ch. 4 - Figure P4.88 represents a drop forging process....Ch. 4 - Refer to Figure P4.89. A mass m drops from a...Ch. 4 - Prob. 4.90PCh. 4 - (a) Obtain the equations of motion of the system...Ch. 4 - Refer to part (a) of Problem 4.90. Use MATLAB to...Ch. 4 - Refer to Problem 4.91. Use MATLAB to obtain the...Ch. 4 - 4.94 (a) Obtain the equations of motion of the...Ch. 4 -
4.95 (a) Obtain the equations of motion of the...
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- Ta bh La v ethod Q3:- The Fig. below shows an epicyclic gear train in which the gear D is held stationary by shaft A and arm B is rotating at 200 rpm ccw. The gears E and F are carried by the arm. The gear G is rigidly attached to shaft C. Find the magnitude and direction of the speed of shaft C. If the gear train is transmitted 7.5 kW what is the torque required to hold shaft A stationary? Given that Z;-40, Z6=30 and Ze=20. Barrow_forwardFor the double slider mechanism shown in the following figure, the crank OA rotates at a uniform speed of 200 rad/s CCW. we need to find the required torque for the crank, if two forces act at sliders B and C as shown in the figure. (P = 2 kN, Q = 4 kN). OA = 20 cm, AB = AC = 80 cm. mg =10 kg, mc = 5 Kg. Neglect other links weights. (3) (2)45° (5) B (4) X The velocity of slip of slider B in m/s? = Choose... + The velocity of slip of slider C in m/s? = Choose... + The acceleration of slip of slider B in m/s2 = Choose... + The acceleration of slip of slider C in m/s? = Choose... + The magnitude of required torque for the crank in N.m = Choose... +arrow_forwardx=0 y=0 z=2arrow_forward
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- I need correct solution Solution in chegg and bartleby was incorrect So please provide correct solutionarrow_forwardI In this problem, consider the figure below. A disk with radius r, mass m, and moment of inertia of Io about the point O is on an inclined plane, with the translational coordinates and y and rotation angle 0, as shown. The direction of gravity is shown, and the incline angle is a. A constant input torque is applied at the point O in the direction shown, and it is opposed by a damping torque from a bearing with value co in the direction shown. The point P represents a point of instantaneous contact, rolling without slipping. Your tasks: Direction of Gravity M(t) co 0 P x Mass: m Figure 2: System schematic. Moment of Inertia about 0: lo a: Incline Angle A Draw the FBD for the disk. B Derive the equation of motion with the rotation angle as the dynamic variable. 0 C Take the Laplace transform, and solve for (s), letting the initial conditions be 0(0) = 0 and (0) = 0. Remember that a constant is a step function for a one-sided Laplace transform. D Given your expression for (s), find the…arrow_forwardhello please help me this homework question considering the time limit I have less than 30minarrow_forward
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