System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 3, Problem 3.11P
The motor in Figure P3.11 lifts the mass
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Qu 5 Determine the carburizing time necessary to achieve a carbon concentration of 0.30 wt% at a position 4 mm into an iron carbon alloy that initially contains 0.10 wt% C. The surface concentration is to be maintained at 0.90 wt% C, and the treatment is to be conducted at 1100°C. Use the data for the diffusion of
carbon into y-iron: Do = 2.3 x10-5 m2/s and Qd = 148,000 J/mol. Express your answer in hours to three significant figures.
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In figure A, the homogeneous rod of constant cross section is attached to unyielding supports. In figure B, a homogeneous bar with a cross-sectional area of 600 mm2 is attached to rigid supports. The bar carries the axial loads P1 = 20 kN and P2 = 60 kN, as shown.1. In figure A, derive the expression that calculates the reaction R1 in terms of P, and the given dimensions.2. In figure B, calculate the reaction (kN) at A.3. In figure B, calculate the maximum axial stress (MPa) in the rod.
Chapter 3 Solutions
System Dynamics
Ch. 3 - Prob. 3.1PCh. 3 - A baseball is thrown horizontally from the...Ch. 3 - For the mass shown in Figure 3.1.3b. m=10 kg, =25...Ch. 3 - A particle of mass m=19 kg slides down a...Ch. 3 - A particle of mass m slides down a frictionless...Ch. 3 - A radar tracks the flight of a projectile (see...Ch. 3 - Table 3.2.1 gives the inertia IO for a point mass...Ch. 3 - A motor supplies a moment M to the pulley of...Ch. 3 - Figure P3.9 shows an inverted pendulum. Obtain the...Ch. 3 - The two masses shown in Figure P3.10 are released...
Ch. 3 - The motor in Figure P3.11 lifts the mass mL by...Ch. 3 - Instead of using the system shown in Figure 3.2.6a...Ch. 3 - Consider the cart shown in Figure P3.13. Suppose...Ch. 3 - Consider the cart shown in Figure P3.13. Suppose...Ch. 3 - Consider the spur gears shown in Figure P3.15,...Ch. 3 - Consider the spur gears shown in Figure P3.15,...Ch. 3 - Derive the expression for the equivalent inertia...Ch. 3 - Prob. 3.18PCh. 3 - The geared system shown in Figure P3.19 represents...Ch. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - For the geared system shown in Figure P3.23,...Ch. 3 - For the geared system discussed in Problem 3.23,...Ch. 3 - The geared system shown in Figure P3.25 is similar...Ch. 3 - Consider the rack-and-pinion gear shown in Figure...Ch. 3 - The lead screw (also called a power screw or a...Ch. 3 - Prob. 3.29PCh. 3 - Derive the equation of motion of the block of mass...Ch. 3 - Assume the cylinder in Figure P3.31 rolls without...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - A slender rod 1.4 m long and of mass 20 kg is...Ch. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - The pendulum shown in Figure P3.38 consists of a...Ch. 3 - Prob. 3.39PCh. 3 - A single link of a robot arm is shown in Figure...Ch. 3 - 3.41 It is required to determine the maximum...Ch. 3 - Figure P3.42 illustrates a pendulum with a base...Ch. 3 - Figure P3.43 illustrates a pendulum with a base...Ch. 3 - 3.44 The overhead trolley shown in Figure P3.44 is...Ch. 3 - Prob. 3.45PCh. 3 - The “sky crane” shown on the text cover was a...
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- Problem4. The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The mass of the shaft is negligible compared to the mass of the disk. a. Find the angular momentum of the disk with respect to point G, based on the axis orientation as shown. Include an MVD in your solution. b. Find the angular momentum of the disk with respect to point O, based on the axis orientation as shown. (Note: O is NOT the center of fixed-point rotation.) c. Find the kinetic energy of the assembly. z R R 002 2R x Answer: H = -0.046ĵ-0.040 kg-m²/sec Ho=-0.146-0.015 kg-m²/sec T 0.518 N-m =arrow_forwardProblem 3. The assembly shown consists of a solid sphere of mass m and the uniform slender rod of the same mass, both of which are welded to the shaft. The assembly is rotating with angular velocity w at a particular moment. Find the angular momentum with respect to point O, in terms of the axes shown. Answer: Ñ。 = ½mc²wcosßsinßĵ + (}{mr²w + 2mb²w + ½ mc²wcos²ß) k 3 m r b 2 C لا marrow_forwardOnly question 2arrow_forward
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