A gymnast holds a steady handstand on the top of the uneven bars as shown. ITHASTICS a. As long as the gymnast grasps the bar and holds this position, how many degrees of freedom are represented by this system? (explain) b. The 2.5 m bar has a 3.5 cm diameter, a linear density of u = 8 kg/m and a modulus of Elasticity of E = 8000 MPa, and the gymnast has a mass of 45 kg. What the static deflection of the midpoint of the bar? c. What is the dynamic equation for the vertical motion of the bar about the static equilibrium point as the gymnast holds this position? d. What is the characteristic equation and natural frequency of the motion?

A gymnast holds a steady handstand on the top of the uneven bars as shown. ITHASTICS a. As long as the gymnast grasps the bar and holds this position, how many degrees of freedom are represented by this system? (explain) b. The 2.5 m bar has a 3.5 cm diameter, a linear density of u = 8 kg/m and a modulus of Elasticity of E = 8000 MPa, and the gymnast has a mass of 45 kg. What the static deflection of the midpoint of the bar? c. What is the dynamic equation for the vertical motion of the bar about the static equilibrium point as the gymnast holds this position? d. What is the characteristic equation and natural frequency of the motion?

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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Question

A gymnast holds a steady handstand on the top of the uneven bars as shown.
ITNEASTICS
a. As long as the gymnast grasps the bar and holds this position, how many degrees of freedom are represented by this system? (explain)
b. The 2.5 m bar has a 3.5 cm diameter, a linear density of u = 8 kg/m and a modulus of Elasticity of E = 8000 MPa, and the gymnast has a mass of 45 kg. What is
the static deflection of the midpoint of the bar?
c. What is the dynamic equation for the vertical motion of the bar about the static equilibrium point as the gymnast holds this position?
d. What is the characteristic equation and natural frequency of the motion?

Expert Solution

Step 1

(a)

The beam is as shown below,

Hence the degree of freedom is 1.

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