The answer to the problem is 31.3rad/s. Please show me how to get the final answer A homogeneous disk of radius r = 0.2 m is released from rest in position A and rollswithout slipping down the incline of angle 0 = 30° with the horizontal. If d = 6 m, theangular velocity of the disk as it passes position B is most nearlyHint: Use work and energy.A. 1.61 rad/sB. 2.27 rad/sC. 4.95 rad/sD. 6.48 rad/sE. 10.2 rad/sF. 14.5 rad/sG. 19.1 rad/sH. 25.8 rad/sI. 31.3 rad/sJ. 36.7 rad/sAm, rPᎾB

Answered: Image /qna-images/answer/42b5c8a7-a7a5-4001-bcee-aac54f64592b.jpg

Answered: A homogeneous disk of radius r = 0.2 m…

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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R - m 130° A hollow wheel of mass given by m 50 kg rolls down an incline of 30° without slipping. The inner radius of the wheel is given by R = 50 mm and its thickness is given by d = 5 mm. Gravity acts down. (a) Show that the moment of inertia of the wheel is given by Ī = 138 125 kg mm². (b) Show that the linear acceleration of the wheel's centre of gravity ā is related to the angular acceleration of the wheel a via a (55 mm)a. = (c) Analyse an appropriate free-body diagram to determine the linear acceleration of the wheel's centre of gravity ā.
Mechanical Engineering Question
Given: A uniform slender rod is at rest upon a frictionless horizontal surface when a force (F) is applied in the direction shown. Assume that the rod has mass m and length L. A L Horizontal Plane Given that F = 74lb, L = 7.1 ft, mg = 4.6lb, and 0 = 73deg What is the component of acceleration of the mass at point G in the i direction? Answer: Check What is the component of acceleration of the mass at point G in the j direction? Answer: Check What is the component of angular acceleration of the mass in the k direction? (remember your signs) Answer: Check
A pair of rods and disc form a triangle with a spring (a spring connects A to C). The spring has a spring constant of 20 N/m and an unstretched length of 1.5m. each rod has a length of 3m and a mass of 10kg. The disk has a mass of 5kg, a radius of .5 and rolls without slipping. The system starts with an angle between the spring and rods of 60 degrees, determine the angular velocity of the rods after it has dropped to a 30 degree angle.
HW1 Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12 kg, 10 kg, 18 kg and 15 kg respectively and their radii of rotations are 40 mm, 50 mm, 60 mm and 30 mm. The angular position of the masses A, B, C and D are 60°, 90° and 70° from the mass A. Find the magnitude and position of the balancing mass at a radius of 100 mm.
An arborist is cutting down a tree a 28 m high tree bystarting his cut 1.8 m above the ground. The tree has a mass of 3750 kg. The tree trunk can be thought of as a uniformly dense, thin rod. 1. What's the speed of the tree’s center of mass when the trunk is parallel to the ground on its way down. The tree rotates about the point where it is cut., 1.8 m above the ground. 2. What is the total amount of kinetic energy that the tree has at thatpoint of parallelism to the ground? How fast would a 950.0 kg truck have to be traveling to have the same kinetic energy as the tree?
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A shaft is rotating at a uniform speed with four masses mı, m2, m3 and m4 of magnitudes 300 kg, 450kg, 360kg and 390 kg respectively. The masses are rotating in the same plane. The corresponding radii of rotation are 200mm, 150mm, 250mm and 300mm. The angles made by these masses with respect to horizontal are 0°, 45º, 120° and 255° respectively. 1) Check the magnitude and position of balance mass if it radius of rotation is 200mm, and 2) Evaluate the effect of adding the balance mass to the system.
PROBLEM 4.8 A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.9 rad s² 9. How long does it take to come to rest? c. 37.56 s d. 38.56 s 10. How many revolutions does it make before stopping? с. 262 d. 292 а. 35.56 s b. 36.56 s а. 282 b. 272
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5. The pendulum shown below consists of a 30 kg point mass at the end of a uniform bar with mass m = 45 kg and length L = 2 m. The pendulum moves in a vertical plane while acted upon by a 500 N-m torque as shown. If the pendulum's angular velocity is 4 rad/s when 0 = 90 degrees, how much force is exerted on the pendulum by the pin at point A when 0 = 330 degrees? 500 N-m B F = 2470 N Z -52 degrees
3. A 30kg uniform bar is free to rotate without friction about a fixed axis at Point A. W T 1 m a. A 3 m 19 30 kg What is the angular acceleration, a, of the bar when it is horizontal, as shown? b. If the bar was released from rest at this position (w = 0 rad/s), what would be the force that the support is putting on the bar at Point A? c. If the bar already has an angular velocity of w = 4 rad/s at the point shown, what would be the force that the support if putting on the bar at Point A?

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