msmpmLA small frog of mass me clings to the left end of a uniform pole of mass mp and length L, and alarge frog of mass my clings to the right end of the pole as shown in this top-down view. Thesystem is rotating about its center of mass. The large frog is moving with tangential speed UL.Treat the frogs as point masses.Show all work and solve in terms of given variables.A. Find the center of mass of the system measured from the right end of the pole.B. What is the magnitude of the angular velocity of the system?

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Answered: ms mp mL A small frog of mass m, clings…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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can you show the steps taken to equation of motion, how do you find the steady displacement of the mass m,find the total reponse in detail and the show the step taken to find the force transmitted in the part c.
Figure shows a mechanical system. The connecting link has moment of inertia J about its pivot point, and rotation angle is positive clockwise. Position of mass m is positive to the right. Both the angular and translational displacements are measured from the equilibrium position where all springs are undeflected. Derive the mathematical model of this system assuming small rotation angle 8. Link, moment. of inertia J L k₁ www m O k₂ www
P.2) nism is constrained to move horizontally with a velocity VA = 10i ft/s. At the depicted instant, A is located directly beneath the fixed pivot point C, and links AB and BC are orthogonal and of equal length, rgIA = 'B/c = w and vg. The lower link of the given mecha- B = 1.2 ft. Find A
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Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy ...) will be automatically considered false. For the problem related to Fundamental.7 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. B The pendulum bob B has a weight of 3lb and is released from rest in the position shown, 0 =0°. Determine the tension in string BC of length r = 4 ft at the instant the bob reaches point D, =4°.
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Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocity = 0 m/s Time to descend = 0.5 secs Distance travelled = 0.25m You have been asked to use this information to determine: The final linear velocity of the load The linear acceleration of the load The final angular velocity of the drum The angular acceleration of the drum The tension force in the cable The torque applied to the drum In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous. From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).
Four 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.
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Fundamental.7 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.7 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. Z Lft 0 The 6-lb man lies against the cushion for which the coefficient of static friction is 0.7. The angle the cushion has is 56° Determine the smallest angular velocity he rotates about the z-axis, at L=9-ft from G, to ensure the man will not slip.

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