(30 pts) Problem 1A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. Amoment Mmgr4is applied to the rod. Assume that the bowl is fixed and its rim is in thehorizontal plane.HINT: It will help you to find the length l of that portion of the rod that remains outside thebowl.M2ra) How many degrees of freedom does this system have?b) Write an equation for the virtual work in terms of the angle 0 and the motion of thecenter of mass (TF)c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)a. HINT: Use the center of the bowl as the coordinate system origin for the problem.d) In the case of no applied moment (i.e., M 0), derive an equation that can be used tosolve for the equilibrium angle of the rod. DO NOT solve the equatione) In the case of an applied moment (i.e., M=mgr= -) derive an equation that can be used to4solve for the equilibrium angle of the rod. DO NOT solve the equation.f) Can the angle 0 and the motion of the center of mass (77) be used as generalizedcoordinates? Why or why not?

Answered: (30 pts) Problem 1 A thin uniform rod…

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

3Skype O Launch MX A Meet - pcX + 2020 SEC x Zohdy -D x Course: 2 x M Inbox (97 X M Inbox (1) Course H x e.com/course.html?courseld=16544025&OpenVellumHMAC=2edceb9788c2d7ed3b6b62e30e29d5d3#10001 (Up Maps O Web design tutori. W MATH180: HW08-. A Review I Constants Blocks of mass m, and m2 are connected by a massless string that passes over the pulley in the figure (Flgure 1). The pulley turns on frictionless bearings, and mass mi slides on a horizontal, frictionless surface. Mass m2 is released while the blocks are at rest. Part C Suppose the pulley has mass m, and radius R. Find the acceleration of m1. Verify that your answers agree with part A if you set m, = 0. Express your answer in terms of some or all of the variables m1, m2, mp, and constant g. ΑΣφ ? a1 = Submit Request Answer Figure Part D Find the tension in the upper portion of the string. Verify that your answers agree with part B if you set m, = 0. Express your answer terms of some all of the variables m1, m2, mp, and…
Learning Goal: To use the equations of equilibrium for a three-dimensional object to solve for the support reactions. The plate shown in (Figure 1) is supported by a roller and a cable in the xx-direction at AA, a ball-and-socket joint at BB, and a roller at CC. A force FFF = 6.6 kNkN is applied at the centroid of the plate parallel to the yzyz-plane and making an angle of θθtheta = 34 ∘∘ with the xyxy-plane. The sides ABAB and BCBC of the plate have length LLL = 1.2 mm . What is the reaction force in the yy-direction at point BB? Let a positive force act in the positive yy-direction. What is the reaction force in the zz-direction at point CC? What is the reaction force in the zz-direction at point AA? What is the reaction force in the zz-direction at point BB? What is the tension TT in the cable? What is the reaction force in the xx-direction at point BB? Let a positive force act in the positive xx-direction.
No chatgpt pls
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
Assume that the proportions of a 85-kg person are the same as those in the table below. Calculate the mass of one leg of the person. TABLE 7-1 Center of Mass of Parts of Typical Human Body, given as % (full height and mass = 100 units) Distance of Hinge Points from Floor (%) Hinge Points (•) (Joints) Center of Mass (x) (% Height Above Floor) Percent Mass Base of skull on spine dbow 62.2%. wrist 46.2%* Нead Trunk and neck 93.5% 71.196 71.7% 6.9% 46.1% 6.6% 91.2% 81.2% Shoulder joint Upper arms Lower arms 55.3% 4.2% 52.1% Hip joint Hands 43.1% 1.7% Upper legs (thighs) 42.5% 21.5% 28.5% Knee joint Lower legs 18.2% 9.6% 4.0% Ankle joint 3.4% 100.0% Feet 1.8% Body CM - 58.05% "For arm hanging vertically. Express your answer to two significant figures and include the appropriate units. mg 14.66 Submit Previous Answers Bequest.Answer
A mass m₁ = 2.0 kg is suspended over a pulley of moment of inertia, I₁ = 0.010 kg-m², and a radius, R₁ = 0.10 m, and is attached with a massless rope to a mass on a horizontal table, m₁ = 2.0 kg. This mass is itself attached to another suspended mass m₂ = 4.0 kg again with a massless rope over a pulley of moment of inertia, I₂ = 0.040 kg-m², and a radius, R₂ = 0.20 m. (a) Find the velocity of each mass when my falls a distance of 1.00 m (the masses start at rest). (b) There is now friction on the horizontal table, µ = 0.74. Again find the velocity of each mass when my falls a distance of 1.00 m (the masses still start at rest).
Oppgave 1 (Ch 5-6): Draw the free-body diagram of the following systems. a) Beam b) Beam 3 m 4 kN 30° 6 m 2 m 800 N/m 1 m 3 m c) The backhoe (1) and its members (2) (suppose that the members have no mass, and that the bucket and its contents have a weight W). 0.25 m 0.25 m 1.5 m E 30° D 10 60° 2 m 0.5 m
1. In lecture I focused on a horizontal mass-spring system so we could ignore gravity, but in practice it's much easier to build a vertical mass-spring system. In the figure below, we can see a suspended spring with spring constant k both before and after a mass m is hooked to it. Y Yo yo is the equilibrium height of the spring (without the mass) and in the figure y = 0 is set at the ground. a) Using the coordinate system in the figure, show that Newton's second law for the hanging mass-spring system leads to the following differential equation: d²y dt² k (y - Yo) - g m b) Now define a new coordinate, y', related to y by a constant shift: y = y' + C, where C = constant. Show that if you choose the right value of C, Newton's second law is identical in form to a mass-spring system without gravity. What is the period of the system? c) Effectively, gravity just shifts the equilibrium position of the system, but the system still undergoes simple harmonic motion. What is the net force on the…
Hi, I have been given this pin-jointed frame analysis to solve (see pictures of the structure attached). Can you help me? The Figure 2 attached is a simplified structure to undertake a structural analysis on a concept design for a low cost stroller/buggy for children. The buggy consists of a number of metal sections that are pin-jointed together. The buggy is designed to accommodate a child of mass no more than 20 kg, sat on the seat which is supported at four points (Fc) on the frame of the buggy. Assume that the weight of the child is equally distributed across all of the points indicated on Figure 2 as Fc. Assume that there are no additional forces applied to the handle of the buggy, that the buggy is static (stationary) and that the buggy, and the elements of the frame have no mass. At points A and G, there are roll supports. At Points B, F and D there are the pin supports. I am required to determine the following: 1) Draw a free-body diagram of the structure 2) Simplify the Free…
The image below is of an arm in 90 degree elbow flexion holding an implement in the hand. SOLVE FOR THE TORQUE ABOUT THE ELBOW IN ORDER TO MAINTAIN EQUILIBRIUM. Here are the values. d1: 0.024m d2: 0.310m d3: 0.690m Fbarbell: 697N Farm: 74N
Oppgave 1 (Ch 5-6): Draw the free-body diagram of the following systems. a) Beam b) Beam 3m 4KN 6 2m c) The backhoe (1) and its members (2) (suppose that the members have no mass, and that the bucket and its contents have a weight W). 0.25 m 5m 10 2 m 60° 0.5 m
answer all parts

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