Answered: Ultimate goal: Determine the angular…

Engineering

Mechanical Engineering

Ultimate goal: Determine the angular velocity of the pendulum when it rotates clockwise 90 degrees.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.57P: Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.

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Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

Question

100%

K1=4 K2=1 K3=8 K4=5

0.4 m
k =100*K2 N/m
В
0.4 m
0.4 m
T0.2 m
2- The pendulum depicted in the figure is composed of a K1-kg rod BA and the K4-
kg disk D. The spring has a natural length of 0.25 m. Initially, the system is kept at
the posture shown in the figure. Then it is released from the rest and rotates
clockwise 90 degrees. The roller at point C enables the spring to stay vertical at all
times.
Ultimate goal: Determine the angular velocity of the pendulum when it rotates
clockwise 90 degrees.
a- Draw the FBD when pendulum rotates clockwise 90 degrees. Indicate the
position of the spring, datum, and mass center with respect to points B and
С.
b- Indicate the initial spring elongation
c- Indicate the final spring elongation.
d- Calculate pendulum inertia with respect to point B.
e- Calculate the initial kinetic energy
f- Calculate the initial potential energy

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