Problem 4.A homogeneous disk with radius and mass m is mounted on an axle OG with length L and anegligible mass. The axle is pivoted at the fixed-point O, and the disk is constrained to roll on ahorizontal surface. The disk rotates counterclockwise at the constant rate o₁ about the axle. (mgmust be included into your calculation)(a). Calculate the linear velocity of G and indicate it on the figure.(b). Calculate ₂ (constant), which is the angular velocity of theaxle OG around the vertical axis.(c). Calculate the linear acceleration ā of G and indicate it on thefigure.(d). Determine the force (assumed vertical) exerted by the floor onthe disk(e). Determine the reaction at the pivot O.1Answers: N = mg +mr(r/L)² @² |jmr wIIGCRLi+2L=

Answered: Image /qna-images/answer/6133a6a4-68d8-4ca1-ad78-de32018adc0a.jpg

Answered: Problem 4. A homogeneous disk with…

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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Consider the wheel shown below with radius R, mass m, and radius of gyration ko¹ The wheel rolls without slipping under the action of a clockwise torque M. At the instant shown the spring with spring constant ks is unstretched. Derive an expression for the velocity of the wheel center of mass G after the center of mass has moved a distance d. (Hint: Use rigid body work-energy principles. The work done to the system by the applied moment is McA0 and A0 can be related to the distace d by the no-slip condition.) Us G R M м, ко ////
Consider a steel plate of mass m with dimensions L and w that is equally supported by two ball bearings (one on each end of the shaft shown at pointa A and B). At the instant shown below, the plate is released from rest. Part A: Determine an expression for the plate's angular acceleration magnitude a at this in- stant. (Hint: Use Euler's 2nd Law for pinned rotation and the parallel axis theorem.) Part B: Show that the magnitude of the reaction force at each bearing at this instant is R = mg/8. (Hint: Use the kinematics to relate the acceleration of the center of mass G to the angular acceleration. Use Euler's 1st Law to find the reaction forces with the acceleration you determined. As viewed from the side there are two forces acting on the system weight and two reaction forces both pointing upward at the same location.) A foye مر B L २
I need unique and correct answer. Don't try to copy from anywhere. Do not give answer in image formet and hand writing
A top consists of a spinning disc of radius 50 mm and mass 0.8 kg mounted at the end of a light rod as shown. If the disc rests on a pivot with its axis of spin horizontal as shown, and the distance X is 30 mm. calculate the velocity of the precession when its spins at 40 rev/min.
A LAB A drum with radius of r = 0.75 ft and a radius of gyration of kc = 0.488 ft is attached to a slender rod that is lAB = 5 ft long and is attached to collar A as shown. The drum weighs 24 lb, the rod weighs 5 lb, and the collar weights 1.55 lb. The system starts from rest with an intial angle of 01 8°. Assume that the drum rolls without slipping. = 54°? a. What is the angular velocity of the drum when 02 rad = Pm b. What is the velocity of collar A when 02 = 54°? ft VA =
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Dynamics

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