Problem 3.The assembly shown consists of a solid sphere of mass m and the uniform slender rod of the samemass, both of which are welded to the shaft. The assembly is rotating with angular velocity w at aparticular moment. Find the angular momentum with respect to point O, in terms of the axesshown.Answer: Ñ。 = ½mc²wcosßsinßĵ + (}{mr²w + 2mb²w + ½ mc²wcos²ß) k3mrb2Cلاm

Step 1: Understanding the Given System The assembly consists of: A solid sphere of mass m and…

Answered: Problem 3. The assembly shown consists…

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

See similar textbooks

Similar questions

(3) The 12-lb lever OA with 10-in. radius of gyration about point O is initially at rest in the vertical position (8 = 90°), where the attached spring of stiffness k= 3 lb/in is unstretched. Calculate the constant moment M applied to the lever at O which will give the lever an angular velocity o = 4 rad/sec as the lever rotates to the horizontal position at 0 = 0. k = 3 lb/in. wwww 15 15
(A) A uniform rod 4 m long slender rod AB of mass 40.775 kg is rigidly connected to the center of a think disk of mass 30 kg as shown in the figure. The diameter of the disk is 2 m. At the instant shown the counterclockwise angular velocity of the disk is 10 rad/sec. • (a) Find the resultant acceleration of the center of the rod AB and • (b) determine the support reactions at A. Im B 200 kg
2. The 30-in slender bar weighs 20 Ib, mounted on a vertical shaft at O initially rotates at w = +10 rad/s. If a 12" torque M = +100 lb-in is applied to the bar through its shaft, calculate %3D 18 the reactions at O after the bar rotates for 1 sec.
For the circular thin plate with a square hole as shown in the image below, its radius R = 0.48 m and the side of the square /= 0.21 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 = 38 N, and has a counterclockwise angular velocity of W = 2.6 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/s?. R P
The bar AB is uniform and has a mass of 50.0 kg. At the moment shown, the rod has an angular velocity of 4.00 rad/s and spring is stretched by 0.30 m. The force constant of the spring is 25.0 N/m.a) Determine whether or not the bar will reach the horizontal position.b) If the bar becomes horizontal, calculate its angular velocity at that position. If not, calculate the angle the bar makes with the horizontal when it comes to rest momentarily.
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
2. For the position shown, the assembly of two identical uniform rigid bars, each with a mass m and length / has a known angular velocity . Find the pin forces at A and the angular acceleration a at this instant. (Pardon the image distortion, the bend at B is 90°) A B C
Dynamics
Dynamics
An aeroplane runs at 600 km/ h. The rotor of the engine weighs 4000 N with radius of gyration of 1 metre. The speed of rotor is 3000 rpm in anticlockwise direction when seen from rear side of the aeroplane. If the plane takes left turn in a curve of 100 metres radius, find: 1. gyroscopic couple developed; and 2. effect of reaction gyroscopic couple developed on the body of aeroplane by using vector diagram.
The rigid body (slab) has a mass m and rotates with an angular velocity es about an axis passing through the fixed point 0. Show that the momenta of all the particles composing the body can be represented by a single vector having a magnitude mvg and acting through point P, called the center of percussion, which lies at a distance TPIG - ka/rajo from the mass center G. Here kg is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G.
The circular concrete culvert rolls with an angular velocity of w=0.58 rad/s when the man is at the position shown. At this instant the center of gravity of the culvert and the man is located at point G, and the radius of gyration about G is kg = 3.2 ft. (Figure 1) Figure @ 4 ft 0.5 ft 1 of 1 Part A Determine the angular acceleration of the culvert. The combined weight of the culvert and the man is 500 lb. Assume that the culvert rolls without slipping, and the man does not move within the culvert. Express your answer to three significant figures and include the appropriate units. α= Submit μA Value Provide Feedback Request Answer Units ***** ? Next >

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS