Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- FBD: The mass of a pendulum is connected to a spring with a spring constant Kas shown in the figure. The spring stays vertical all the time with the help of a massless follower. The vertical distance between the fixed point O and the path of the massless follower is 2L. Use Newton's second law and find the equation of motion of the system in terms of 0. 762 mgbi Img 2L L bil Nig K 777777 P EMO = Jaz ->0₂ ?arrow_forwardPlease i need her solvearrow_forwardAnswer the following question part a and part b A) The 4 kg disk shown in Figure Q1 is initially at rest. A force of F = 50 N is applied to the thin, inextensible cable wrapped round the disk diameter d = 156 mm. Calculate the work done on the disk after it has turned through 8.8 revolutions. [Answer in J] 30 Q1 b) Assuming that the 8 kg disk in previous part is initially at rest and a force of F = 67 N is applied to the thin, inextensible cable wrapped round the disk diameter d = 177 mm. Find the angular velocity of the disk after it has turned through 8.1 revolutions. [Answer in rad / s]arrow_forward
- A spring connects mass m of a pendulum to a wall as shown in the figure. The original un- stretched length of the spring is L. Use the Energy Method and find the equation of motion of the system in terms of the angle 0. L L K m Original Length = Larrow_forwardFour equal, uniform rods of mass m and length 2a are hinged together to form a rhombus ABCD. The point A is fixed, while C lies directly beneath it and is free to slide up and down. The whole system can rotate around the vertical. Let 0 be the angle that AB makes with the vertical, and o be the angular velocity around the vertical, as shown in figure 3. Find the Lagrangian for this system and show that there are two conserved constants of motion. B Figure 3: The rotating rhombus.arrow_forwarddraw a free body diagram and kinetic diagramarrow_forward
- 4. Derive the two equations of motion form the following rotational system with the angular displacements 0p and Od as the outputs and the angular displacement Ø as the input. Here, I, = 1 kg – m², la = 0.5 kg – m², kr = 500N – m/rad, and Cr = %3D 0.2 N – m – s/rad ll Iparrow_forwardMECHANICAL VIBRATIONSarrow_forwardWhat is the equivalent root of the system of the figure using the displacement of the block as a generalized coordinatearrow_forward
- please define the system and provide the free-body diagram with x-y-axis Please answer these two questions together cause there is a follow-up question.arrow_forwardQ3: Drive the Euler's equation of motion.arrow_forward5. Assuming that is small, find the governing equation for the reversed pendulum shown in the following figure by using conservation of energy. Linearize your equation by using the approximation that sin~ and cos 0~1 when 0 is small. Ju m 0 m 1arrow_forward
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