Problem 1.Two uniform rods AB and CE, each of weight 3 lb and length 2 ft, are welded to each other at theirmidpoints. Knowing that this assembly has an angular velocity of constant magnitude c = 12 rad/s,determine:(1). the magnitude and direction of the angular momentum HD of the assembly about D.(2). the dynamic reactions (ignore mg) at the bearings at A and B.9 in.3 in.039 in.3 in.Answers: HD = 0.162 i +0.184 j slug-ft²/sHG = 2.21 kAy =-1.1 lb; Az = 0; By = 1.1 lb; B₂ = 0.

Answered: Image /qna-images/answer/c6c30966-c86b-491d-9dfa-a3f6e214c101.jpg

Answered: Problem 1. Two uniform rods AB and CE,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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4. Each of the gears A and B has a mass of 2.4 kg and a radius of gyration of 60 mm, while gear C has a mass of 12 kg and a radius of gyration of 150 mm. A couple M of constant magnitude 10 Nm is applied to gear C. Determine (a) the number of revolutions of gear C required for its angular velocity to increase from 100 to 450 rpm, (b) the corresponding tangential force acting on gear A. В S0 mm, S0 mm 200 mm. M
4
In the helicopter shown; a vertical tail propeller is used to pre- vent rotation of the cab as the speed of the main blades is changed. Assuming that the tail propeller is not operating determine the final angular velocity of the cab after the speed of the main blades has been changed from I80 to 240 rpm. (The speed of the main blades is measured relative to the cab, and the cab has a centroidal moment of inertia of 650 lb.ft.s2. Each of the four main blades is assumed to be a slender rod 14 ft weighing 55 lb.)
Problem (1) Gears A and B each have a mass of 4 kg and a radius of gyration of 75 mm about their centers, while gear C has a mass of 15 kg and a radius of gyration of 180 mm about its center. A couple moment M = (0.20) N-m is applied to gear C. Determine the number of revolutions gears A and B experience if gear C increases its angular velocity from 25 rpm to 500 rpm. B 80 mm S0 mm 200 mm
A slender homogeneous rod AB of mass m and length L is made to rotate at a constant rate w2 about the horizontal z axis, while frame CD is made to rotate at the constant rate w1 about the y axis. Express as a function of the angle 0 (a)the couple M1 required to maintain the rotation of the frame, (b) the couple M2 required to maintain the rotation of the rod, (C) the dynamic reactions at the supports C and D.
A 240-lb block is suspended from an inextensible cable which is wrapped around a drum of 1.25-ft radius rigidly attached to a flywheel. The drum and flywheel have a combined centroidal moment of intertia of 10.5 lb-ft-s^2. At the instant shown, the velocity of the block is 6 ft/s directed downward. The bearing at A as a frictional moment of 60 lb-ft. What is the kinetic energy of the system after the block moved after 4ft? (in ft-lb)
2) A slender uniform 30 kg bar is hinged off center and swings down on a vertical plane. In the configuration shown the angular speed of the bar is @ = 2 rad /s?. Knowing that the length of the bar is = 8m, the mass moment of inertia about the center of mass G is IG = mbl² 1 12, and the distance between G and O equals 2m, determine the force at the smooth hinge O. 30°
Consider the mechanism shown. Members PQ and QR are joined by a hinge at Q. End P of member PQ is pin-supported and end R of member QR is constrained to move along a horizontal surface. Member PQ rotates clockwise at a constant rate of 12 rad/s. Member QR rotates counterclockwise at a rate of 3.84 rad/s. Which of the following gives the closest value to the magnitude of the angular acceleration of rod QR? 9.16, 6.18, 1.609, 35.2 rad/s^2?? Which of the following gives the closest value to the magnitude of the acceleration of point R? 3.13, 9.89, 10.28, 12.88 m/s^2??
The 1.5-kg uniform slender bar AB is connected to the 3-kg gear B that meshes with the stationary outer gear C The centroidal radius of gyration of gear B is 30 mm. Knowing that the system is released from rest in the position shown, determine (a) the angular velocity of the bar as it passes through the vertical position, (b ) the corresponding angular velocity of gear B.
A homogeneous rectangular plate weighing 40 lb is suspended from two frictionless pins A and B. If pin B is suddenly removed, determine:a) the components of the reaction at pin A immediately after the pin is removed,b) the angular velocity of the plate after the plate has rotated thirty degrees in the clockwise direction.
A slender rod of length l and weight W is pivoted at one end as shown. It is released from rest in a horizontal position and swings freely. (a ) Determine the angular velocity of the rod as it passes through a vertical position and determine the corresponding reaction at the pivot. (b ) Solve part a for W = 1.8 lb and l = 3 ft.
Each of the gears A and B has a mass of 675 g and a radius of gyration of 40 mm, while gear C has a mass of 3.6 kg and a radius of gyration of 100 mm. Assume that kinetic friction in the bearings of gears A, B C produces couples of constant magnitude 0.15 N.m, 0.15 N.m, 0.3 N.m, respectively. Knowing that the initial angular velocity of gear C is 2000 rpm, determine the time required for the system to come to rest.

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