The structure of a football goal is shown in the figure below. The bending motion of thestructure can be represented by a flexible cantilever beam with tip mass M¡ as shownin the figure. The tip mass M, represents the mass of the horizontal crossbar which isassumed to be rigid in this motion. A single vertical straight beam having mass of MH,shown in the figure below, is the equivalent model for the two symmetrical verticalposts. A soccer ball of mass M, hits the horizontal crossbar with the velocity of Vp.x(t)м,VINGLI SOLARThe response of the horizontal crossbar, mass M, is shown by x(t) in the figure. Thevertical beam has a circular cross section of radius r, Young's modulus E and length L.For numerical calculations, use M, = 23.2130 kg, MH = 28.6617 kg. M, = 0.5497 kg, Vý= 8.8974 m/s, L= 2.7757 m, E = 133.5685 GPa andr= 0.0437 m. For circular cross-section I = Tr/4.Considering zero damping and the numerical data given above,obtain the maximum amplitude of response x(t) after it was hit by soccer ball Mp.

When the soccer ball hits the crossbar then apply the conservation of linear momentum, Here, vo is…

Answered: The structure of a football goal 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

For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let w = 19.5 kips/ft, a=6.0 ft, and b=21.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.) Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, pos, the maximum negative bending moment, Mmax, neg, and their respective locations, xmax, pos and xmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest…
A 1.5 m long beam with a uniform mass distribution extends horizontally from a wall. There are two cables attached to the beam: cable a is attached to the beam 3/4 of the way from the wall to the end of the beam, and pulls up at a 60°angle to the beam; cable b is attached 1/4 of the way from the wall to the end, and pulls down at a 30°angle to the beam. The tension in cable a is 100 N. Determine the tension in cable b.
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
Find the shear force at point A, (VA) in kN. Find the bending moment at point A, (MA) in kNm. Find the shear force at point B, (VB) in kN Find the bending moment at point B, (MB) in kNm.
Figure 3 shows a pendulum (a 2m long massless string suspended from the ceiling, on the other end of which is a 50g mass) at an initial release angle and initial velocity (see figure). a. What angle is the pendulum at (as measured from the dotted vertical line in figure 3) when it's at rest? b. Go to figure 3 and label the places where KE is maximum, KE is minimum, PE is maximum, and PE is minimum. c. How much work does gravity do, from the point when the pendulum is released in figure 3 to the point when it is at rest in part a? d. Find the magnitude of the impulse on the pendulum, again between the point when the pendulum was released (figure 3) and the point when it is at rest.
For the frame shown below, consider only the effect of bending (neglect shear). (a) Discuss the static indeterminacy of the system. (b) Find all the support reactions. (c) Find the maximum bending moment in the frame. (d) Discuss how you will find the displacement at point 2. (e) Find the rotation at point 2. 3 2 y R 1
Part D - A tractor shovel The tractor shovel shown (Figure 4) carries a 550 kg load that has its center of mass at H. The shovel's dimensions are: a = 52.0 mm, b = 208 mm, c = 312 mm, d = 104 mm, and e = 364 mm. Find the reaction force at E. Assume that the positive direction of the a and y axes is to the right and upward, respectively. Figure 4 of 4 Enter the Cartesian components of the reaction force at E separated by a comma. Express your answers in newtons to three significant figures. • View Available Hint(s) 30° 30° B ΑΣφ vec Ez, Ey = H. Submit b 2h Next > Provide Feedback
Given l= 1000 mm and P= 4000 N, draw internal shear force and moment diagram.
Need help with this Q.
A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance e from the left end. A woman of mass m starts at the left end and walks toward the right end as in the figure below. (a) When the beam is on the verge of tipping, find symbolic expression for the normal force exerted by the second pivot in terms of M, m, and g. n2 = (b) When the beam is on the verge of tipping, find symbolic expression for the woman's position in terms of M, m, L, and e. (c) Find the minimum value of e that will allow the woman to reach the end of the beam without it tipping. (Use any variable or symbol stated above as necessary.) e min =
A uniform beam of length, L, and mass, M, is freely pivoted at one end about an attachment point in a wall. The other end is supported by a horizontal cable also attached to the wall, so that the beam makes an angle phi with the horizontal as shown below. To answer the questions below, find algebraic expressions for the tension in the cable, the angular acceleration of the beam, should the cable break, and the resulting angular velocity as the beam falls through the vertical position. A. If L = 2.4 m, M = 5 kg, and phi = 45o, then what is the tension in the cable? B. If the cable snaps, what is the angular acceleration about the pivot point? C. What is the angular velocity of the falling beam, just as it hits the wall?
The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is oy=418 MPa, whereas that used for the rectangular cross- section is 0.70y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 84 mm, b=46 mm, a=11 mm, H=84 mm, d= 46 mm Z || Part a) b N.mm h Z mm d 1. The numerical value of plastic section modulus of the solid rectangular section is mm ³ H 2. The numerical value of plastic moment of the solid rectangular section is Part b) calculate the value of t The numerical value of t can be calculated as

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