The structure of a football goal is shown in the figure below. The bending motion of the structure canbe represented by a flexible cantilever beam with tip mass MT as shown in the figure. The tip massMfrepresents the mass of the horizontal crossbar which is assumed to be rigid in this motion. A singlevertical straight beam having mass of MH, shown in the figure below, is the equivalent model for thetwo symmetrical vertical posts. A soccer ball of mass M, hits the horizontal crossbar with the velocityof Vp.x (t)м,UYINGLI SOLARNGL LAF The response of the horizontal crossbar, mass M, is shown by x(t) in the figure. The vertical beam has acircular cross section of radius r, Young's modulus E and length L. For numerical calculations, use M7 =%3D7.9108 kg, MH = 22.0542 kg, M, = 0.9909 kg, V½ = 5.9645 m/s, L = 2.4468 m, E = 77.7443 GPa and r =0.0749 m. For circular cross-section / = n/4.Considering zero damping and the numerical data given= TTabove, obtain the maximum amplitude of response x(t) after it was hit by soccer ball Mp.3.8491 mm4.7691 mm0.7225 mm2.5990 mm1.5282 mm

Write the expression of conservation of energy. Write the expression of conservation of momentum.…

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

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For two existing torques, what third force at a given distance from the pivot will balance them? Imagine a meter stick set up as in the figure. It hangs from a central bracket, and two hanging masses can hang from it from each of their brackets. At a third location, a force probe can either pull up or pull down on the stick, depending on what is needed to balance the stick. The mass of the meter stick is 120 g. sketch the situation (drawing r1, r2, r3, F1, F2, and F3) and determine the magnitude (value) and direction (+ or -) of each torque. Don't include the mass of a bracket that would hold the hanging mass in place; assume the mass listed is the entire mass hanging at that point. For each trial, use the principle of equilibrium (where the sum of torques is zero) to calculate the third, unknown force acting at x3
For two existing torques, what third force at a given distance from the pivot will balance them? Imagine a meter stick set up as in the figure. It hangs from a central bracket, and two hanging masses can hang from it from each of their brackets. At a third location, a force probe can either pull up or pull down on the stick, depending on what is needed to balance the stick. The mass of the meter stick is 120 g. sketch the situation (drawing r1, r2, r3, F1, F2, and F3) and determine the magnitude (value) and direction (+ or -) of each torque. Don't include the mass of a bracket that would hold the hanging mass in place; assume the mass listed is the entire mass hanging at that point. For each trial, use the principle of equilibrium (where the sum of torques is zero) to calculate the third, unknown force acting at x3
For two existing torques, what third force at a given distance from the pivot will balance them? Imagine a meter stick set up as in the figure. It hangs from a central bracket, and two hanging masses can hang from it from each of their brackets. At a third location, a force probe can either pull up or pull down on the stick, depending on what is needed to balance the stick. The mass of the meter stick is 120 g. sketch the situation (drawing r1, r2, r3, F1, F2, and F3) and determine the magnitude (value) and direction (+ or -) of each torque. Don't include the mass of a bracket that would hold the hanging mass in place; assume the mass listed is the entire mass hanging at that point. For each trial, use the principle of equilibrium (where the sum of torques is zero) to calculate the third, unknown force acting at x3
Use answer from first part without spring to build onto next part, thanks.
A sign of mass 6.2 kg is hanging from a uniform beam of mass 11.2 kg and length I as shown in the diagram below. Here e 51.3 and 51A. The beam is in cquilibrium. Calculate the vertical force at the hinge. 90 -e
Note: The solution should not be hand written.
Choose the mass M in the figure with a value that does not end with zero from 302 to 497 kg. Find the support responses A and B. Draw the cross-sectional influence diagrams of the beam and write the maximum and minimum values.
can you answer this question
Two homogeneous discs with an equal radius R and mass m, are on a rough horizontal plane. The center points A and B of the discs are soldered together with a massless rod, (bee Figure). The discs are at rest when a constant torque C is applied to the right disc. Calculate the traction of the bar just after the torque has been applied, given that both discs will roll without slipping. Will the force in the bar vary with time during the subsequent movement? (Rmg., and C are given quantities) A C masslös т, R т, R
The assembly shown in the figure below consists of a thin rod of length { = 22.4 cm and mass m = 1.20 kg with a solid sphere of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? (b) What is the angular speed (in rad/s) of the rod and sphere? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 27.4 cm? (Express your answer as a percentage.) %. is ---Select--- V swing v Vall by
2

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