HOMEWORK 01A Kinetic energy, potential energy, virtual work Problem 1:

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Presentation transcript:

HOMEWORK 01A Kinetic energy, potential energy, virtual work Problem 1: Problem 2: Problem 3:

Problem 1: m x(t) f(t) f(t) is the input, x(t) is the generalized coordinate as shown in Figure 1. Write the expressions of kinetic energy, potential energy, and virtual work for the system. c k m,R c k m Figure 1 Click for answer.

Problem 2: Moment T(t) is the input, θ(t) is the generalized coordinates as shown in Figure 2. For small-angle motion, write the expressions of kinetic enegy, potential energy, and virtual work for the system. m T(t) c k 2k Click for answer. Figure 2

Problem 3: For the system shown in Figure 3, xA(t) and θ(t) are the generalized coordinates, f(t) and x1(t) are the inputs, for θ <<1. Write the expressions of kinetic enegy, potential energy, and virtual work for the system. Click for answer. Figure 3 First stage of answer δW