System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Textbook Question
Chapter 3, Problem 3.9P
Figure P3.9 shows an inverted pendulum. Obtain the equation of motion in terms of the angle
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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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- A continuous flow calorimeter was used to obtain the calorific value of a sample of fuel and the following data collected: Mass of fuel: 2.25 kgInlet water temperature: 11 ° COutlet water temperature 60 ° CQuantity of water: 360 Liters Calorimeter efficiency: 85%Calculate the calorific value of the sample ( kJ / kg ).arrow_forwardChapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY... Scoresarrow_forwardmylabmastering.pearson.com Chapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY... P Pearson MyLab and Mastering Scoresarrow_forwardanswer the fallowing Brake Specific Fuel Consumption - 0.3 kg/kwh, Mechanical Efficiency- 90% Calorific Value of Fuel -45 MJ/kg. Given these values, find the indicated power, indicated thermal efficiency and brake thermal efficiencyarrow_forwardProblem 6. The circular plate shown rotates about its vertical diameter. At the instant shown, the angular velocity ₁ of the plate is 10 rad/s and is decreasing at the rate of 25 rad/s². The disk lies in the XY plane and Point D of strap CD moves upward. The relative speed u of Point D of strap CD is 1.5 m/s and is decreasing at the rate of 3 m/s². Determine (a) the velocity of D, (b) the acceleration of D. Answers: =0.75 +1.299]-1.732k m/s a=-28.6 +3.03-10.67k m/s² 200 mm x Zarrow_forwardProblem 1. The flywheel A has an angular velocity o 5 rad/s. Link AB is connected via ball and socket joints to the flywheel at A and a slider at B. Find the angular velocity of link AB and the velocity of slider B at this instant. (Partial Answer: @ABN = -2î + 2.25; red Z -1.2 ft C -7 Y -1.5 ft- B 2.0 ftarrow_forwardNeed help pleasearrow_forwardPROBLEM 15.225 The bent rod shown rotates at the constant rate @₁ = 5 rad/s and collar C moves toward point B at a constant relative speed u = 39 in./s. Knowing that collar C is halfway between points B and D at the instant shown, determine its velocity and acceleration. Answers: v=-45 +36.6)-31.2 k in./s āc = -2911-270} in./s² 6 in 20.8 in. 14.4 in.arrow_forwardNeed help, please show all work, steps, units and please box out and round answers to 3 significant figures. Thank you!..arrow_forwardNeed help, please show all work, steps, units and please box out and round answers to 3 significant figures. Thank you!...arrow_forwardFL y b C Z Determine the moment about O due to the force F shown, the magnitude of the force F = 76.0 lbs. Note: Pay attention to the axis. Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 1.90 ft b 2.80 ft с 2.60 ft d 2.30 ft Mo 144 ft-lb = -212 × 1 + xk) ☑+212arrow_forward20 in. PROBLEM 15.206 Rod AB is connected by ball-and-socket joints to collar A and to the 16-in.-diameter disk C. Knowing that disk C rotates counterclockwise at the constant rate ₁ =3 rad/s in the zx plane, determine the velocity of collar A for the position shown. 25 in. B 8 in. Answer: -30 in/s =arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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