EBK SYSTEM DYNAMICS
EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Chapter 3, Problem 3.12P

Instead of using the system shown in Figure 3.2.6a to raise the mass m 2 . An engineer proposes to use two simple machines, the pulley and the inclined plane, to reduce the weight required to lift m 2 . The proposed design is shown in Figure P3.12. The pulley inertias are negligible. The available horizontal space limits the angle of the inclined plane to no less than 30°.

  1. Suppose that the friction between the plane and the mass m 2 is negligible. Determine the smallest value m 1 can have to lift m 2 . Your answer should be a function of m 2 and θ .

  • In practice, the coefficient of dynamic friction μ d between the plane and the mass m 2 is not known precisely. Assume that the system can be started to overcome static friction. For the value of m 1 = m 2 / 2 , how large can μ d be before m 1 cannot lift m 2 ?
  • Chapter 3, Problem 3.12P, Instead of using the system shown in Figure 3.2.6a to raise the mass m2 . An engineer proposes to , example  1

    Chapter 3, Problem 3.12P, Instead of using the system shown in Figure 3.2.6a to raise the mass m2 . An engineer proposes to , example  2

    Chapter 3, Problem 3.12P, Instead of using the system shown in Figure 3.2.6a to raise the mass m2 . An engineer proposes to , example  3

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    Chapter 3 Solutions

    EBK SYSTEM DYNAMICS

    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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