A uniform rod of length 55.0 cm is tiltedabove the horizontal at a 20.0 degree angleas shown. It can rotate about an axis ofrotation 40.0 cm from the lower end asshown (axis is marked by an X in the picture).It is subject to two forces. Force A acts at thelower end horizontally. Force B acts at theupper end vertically.15 cm40 cm70°20°AThe rod has mass 4.50 kg. What is the rod'smoment of inertia about the given axis? am /D 0.113 kgm^2D 0.454 kgm^2D 0.0703 kgm^2O 0.184 kgm^2O 0.524 kgm^2D 0.720 kgm^2O 0.101 kgm^2) 0.00586 kgm^24:12 am /

Answered: Image /qna-images/answer/0c2bd764-6530-4441-aeb1-f430f2fb728f.jpg

Answered: A uniform rod of length 55.0 cm is…

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

A shaft with 3 meters span between two bearings carries two masses of 10 kg and 20 kg acting at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in which these masses rotate are 1.2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60°. The speed of rotation of the shaft is 200 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.3 m from each bearing centers, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e. mass of 10 kg.
The frame of a gyroscope in fig. is supported at O so that it can turn freely in alldirections. The wheel is a uniform disc of 10 cm diameter weighing 2 kg with its centre20 cm from O. The frame alone weighs 1 kg with centre of gravity G1, 12 cm from O.If the wheel spins as shown at 10,000 r.p.m. with its axle in the horizontal plane, findthe time required for the axle to make one revolution about O. Mention the direction ofthis rotation. Find also the vertical and horizontal forces by the support on the frame.
An object is formed by attaching a uniform, thin rod with a mass of mr = 6.86 kg and length L = 5.76 m to a uniform sphere with mass ms = 34.3 kg and radius R = 1.44 m. Note ms = 5mr and L = 4R. 1) What is the moment of inertia of the object about an axis at the left end of the rod? kg-m2 2) If the object is fixed at the left end of the rod, what is the angular acceleration if a force F = 463 N is exerted perpendicular to the rod at the center of the rod? rad/s2
A uniform solid disk of mass 2.0 kg and radius 0.30 m is initially at rest. It is then rotated by a constant torque about an axis through its center of mass until it reached an angular speed of 3.0 rad/s. What is the work done by the constant torque? The moment of inertia through the center of mass is (2/5)MR^2.
An oversized yo-yo is made from two identical solid disks each of mass M = 1.90 kgand radius R = 10.9 cm.The two disks are joined by a solid cylinder of radius r = 4.00 cm and mass m = 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system, with positive torques directed to the left along this axis. All torques and angular variables are to be calculated around this axis. Light string is wrapped around the cylinder, and the system is then allowed to drop from rest. Answer these parts: (g) Eliminate ? from the rotational second law with the expression found in part (d) and find a symbolic expression for the acceleration a in terms of m, M, g, r and R. a = (h) What is the numeric value for the system's acceleration? m/s2(i) What is the tension in the string? N(j) How long does it take the system to drop 1.17 m from rest? s
A uniform disk of radius 0.455 m and unknown mass is constrained to rotate about a perpendicular axis through its center. A ring with the same mass as the disk is attached around the disk's rim. A tangential force of 0.227 N applied at the rim causes an angular acceleration of 0.131 rad/s^2. Find the mass of the disk.
Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157 N and 117 N at radii 5 cm, 6 cm, 7 cm and 6 cm respectively. The second, third and fourth masses revolve in planes 8 cm, 16 cm and 28 cm respectively measured from the plane of the first mass (at the left end). They are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass (at the positive x-axis). The shaft is dynamically balanced by two masses both located at 5 cm radii and revolving in planes midway between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. Determine the magnitude of the masses and their respective angular positions.
The figure below is a system consisting of two masses MA = 1.82 kg and MB = 3.6 kg, whose distance from the pore axis is R₁ = R₂ = 15 cm, while the angular positions are 0₁ = 30° and 0 = 150° . Determine the weight and position of the balancing mass placed on planes C and D if the distance from the axis RC = RD = 15 cm.
A shaft caries four rotating masses A, B, C and D which are completely balanced. The masses B, C and Dare 50kg, 80kg and 70kg respectively. The masses C and D make angles of 90° and 195° respectively with mass B in the same sense. The masses A, B, C and D are concentrated at radius 75mm,100mm,50mm and 90mmrespectively.The plane of rotation of masses B and C are 250mm apart. Determine the magnitude of mass A and its angular position the position of planes A and D.
A circular disc with radius r = 0.8981 m rotates around its own axis. How long does it take for the disc to spin 1.22 revolutions if the disc starts at an angular velocity of 1.09 rad/s and the angular acceleration is 0.133 rad/s²?
5) In ice figure skating, a couple execute a “top” (see picture). The centre of mass of the woman (58 kg) is situated 1.3 m from the axis of rotation which is vertical and passes through the centre of mass of the man (85 kg). They are spinning at a constant angular velocity equal to 3.1415 rad/s and the man and woman have moments of inertia, about their own centres of mass, equal to 1.6 and 2.5 kg.m2 respectively. Then the woman grabs the neck of the man. At this point, her moment of inertia decreases to 1.4 kg.m2 and her body centre of gravity is 0.9 m from the axis of rotation. Determine the new angular velocity. Hints: This is a conservation of angular momentum problem, and needs the parallel axis theorem to determine moments of inertia about the axis of rotation. The skaters are moving as one body with one angular velocity, but they each have their own moments of inertia given relative to their own CoMs. For the man, that’s fine…the axis they’re rotating about passes through his…
Energy is to be stored in a 50.0 kg flywheel in the shape of a uniform solid disk with radius R = 1.40 m. To prevent structural failure of the flywheel, the maximum allowed radial acceleration of a point on its rim is 3000 m/s 2 . What is the maximum kinetic energy that can be stored in the flywheel?

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