Problem 1: (1) Use Newton's second law of motion to derive the equation of motion of the system using coordinate x (t). Note: free-body diagrams are needed when using Newton's method.

Question: An object is in simple harmonic motion. Find an equation for the motion given that the period is and at time t = 0, y = 1, and y' = 3. What is the equation of motion? An object is in simple harmonic …

Question: Determine the equation of motion for the system shown in the figure below using the variables given in the figure. Note the mass moments of inertia of the load and the motor are J1 and Jm, …

Question: Use the energy method to calculate the equation of motion and natural frequency of an airplane's steering mechanism for the nose wheel of its landing gear. The mechanism is modeled as …

Question: the equation of motion for an object in free fall starting from rest is y=1/2gt^2, where g is the acceleration due to gravity. This equation is a parabola, where has the general form y=ax^2. …

Question: 2.44 Derive the equation of motion of the system shown in Fig. 2.84, using the following methods: (a) Newton's second law of motion, (b) D'Alembert's principle, (c) principle of virtual work, …

Question: Derive the equation of motion for the lever system shown in Figure P4.54, with the force f as the input and the angle θ as the output. The position θ = 0 corresponds to the equilibrium position …

3. Derive the equation of motion with Newton's second law and find the natural frequency of vibration for the system below. Assume small angles for 6 (i.e. sin 0 – 0, tan 6 = 0, and cos 01). (10 points) 쁜 …

3.34 The equation of motion for the DC motor shown in Fig. 2.33 is: J mθ¨m+(b+ RaKtKe)θ˙m = RaKtva. Assume J m b K e K t Ra =0.01 kg⋅m2, =0.001 N⋅m⋅sec, =0.02 V⋅sec, =0.02 N⋅m/A, =10Ω. (a) Find …

Problem 1: (1) This is a review of Dynamics: Use Newton's second law of motion to derive the equation of motion of the system using coordinate x (t). Must draw free-body diagrams.