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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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The rod PQ of length L = 2 m and uniformly distributed mass of M = 10 kg, is released from rest at the position shown in the figure. The ends slide along the frictionless faces OP and OQ. Assume acceleration due to gravity, g 10 m/s2. %3D %3D The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML2/12). At this instant, the magnitude of angular acceleration (in radian/s?) of the rod is 2m 45° Q
A solid bar of mass m and length L stands vertically on a frictionless table and is then released to fall down. The moment of inertia about the center of mass is Ic = mL²/12. At the moment when the top end B just reaches the ground (0-0), (a) what are the angular velocity and angular acceleration? (b) what is the center-of-mass acceleration? (c) what is the normal force of the ground to end D? Hint: It may be helpful to find out the instant rotation axis. В m. L D
Q5/ A shaft carry three masses A, B, and C of magnitude 200 kg, 300 kg, and 150 kg respectively and revolving at radii 80 mm, 70 mm, and 60 mm. The angles between these masses measured anticlockwise are A to B 45° and B to C 70°. If the balancing masses revolve at a radius of 100 mm, find graphically their magnitudes and angular positions. All masses rotating in the same plane.
Rod OA rotates counterclockwise with a constant angular velocity of 0 = 5 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other slides over the horizontal curved rod, of which the shape is described by the equation = 1.5(2-cos) ft. (Figure 1) Figure r = 1.5 (2 cos 6) ft 6 = 5 rad/s 1 of 1 Part A If both collars weigh 0.60 lb, determine the magnitude of the normal force which the curved rod exerts on one collar at the instant = 140 °. Neglect friction. Express your answer to three significant figures and include the appropriate units. N = Submit μA Value Request Answer Units < Return to Assignment Provide Feedback ?
For the circular thin plate with a square hole as shown in the image below, its radius R = 0.32 m and the side of the square /= 0.18 m, and the material has a mass per unit area of 12 kg/m². If at the instant shown, it is subjected to a force P = 30 N, and has a counterclockwise angular velocity of W = 4.2 rad/s, determine magnitude of the support reaction at point O at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s². R @ Your Answer: Answer units P
Part A The arm is rotating at a rate of 0 = 4 rad/s when 6 = 3 rad/s and 0 = 180°. It is confined to move along the slotted path. Motion occurs in the horizontal plane. (Figure 1) Determine the force it must exert on the 0.25-kg smooth cylinder. Express your answer to three significant figures and include the appropriate units. ? F = Value Units Submit Request Answer Provide Feedback Figure <) 1 of 1 e = 4 rad/s, ö = 3 rad/s e = 180° ) m
7. The spool, which has a mass of 2 kg, slides along the smooth horizontal spiral rod, r= (0.40) m, where is in radians. If its angular rate of rotation is constant and equals = 6 rad/s, determine the horizontal tangential force P needed to cause the motion and the horizontal normal force component that the spool exerts on the rod at the instant = 45°. [Ans: P= 17.8 N and N= 59.3 N]. 8= 6 rad/s
i need the answer quickly
The iillustration depicts a prototype design for the High-G Rover. It is made up of an arm that is attached to a shaft that is pinned to a disk. The aarm has a retractable shaft that extends and contracts to cause the disk to rotate. To make the computation easier, let us assumee that the arm does nott rotate A. If the arm's total length is L = 640mm, the distance from the centre of the disk to the shaft pin is r = 112mm, and the arm rotates clockwise at a constant angular velocity of 250.273 rpm. 1.) Would an increase in angular velocity increase point C's linear velocity relative to point A? If so, why or why not? a.) What is the linear velocity of point C with respect to point A if the angular position of the pin (between AB and BC) is 0.578 radians? b.) What is the distance between points A and C if the angular position of the pin (between AB and BC) is 0.578 radians? c.) What is the linear velocity of point C with respect to point A if the angular velocity is increased by 34.34…
A force P of magnitude 5 N is applied to a tape wrapped around the body indicated. The body rests on a frictionless horizontal surface. Assume the mass of the thin hoop to be 2.4 kg. 24 A C Determine the acceleration of Point B. The acceleration of Point B is 2.083 m/s². B P x
A force of 100N is applied to the centre of a circular disc, of mass 10 kg and radius 1 m, resting on a floor as shown in the figure. If the disc rolls without slipping on the floor, the linear acceleration (in m/s2) of the centre of the disc is (correct to two decimal places). 100 N
Three horses pull and guide a 132 kg payload down a river, exerting the forces shown in the figure, with F, = 29 N, F, = 38 N, F = 58 N, 0, = 30°, and 0, = 60°. What is the magnitude of the payload's acceleration? F2 Answer: What is the angle, measured relative to the positive x-axis, of the load's acceleration? Answer: Choose...

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