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One way of quantifying the energy needed to create fracture in a material is with a Charpy test, shown to the right. A large pendulum (here m= 50 kg, ka = 1.75 m) is released from rest when 0= 0°. The pendulum hits a notched sample of standard size of the material to be tested at S. The pendulum swings up the other side, with its angular distance measured by a ratcheted scale. The system is designed to minimize frictional losses, so the difference in the energy at release and the maximum energy in the follow through is the energy absorbed in fracturing the sample. For the Charpy apparatus shown, what is the angular velocity and kinetic energy of the pendulum the instant before it 1.25 m hits the sample at S when 0= 90°.

One way of quantifying the energy needed to create fracture in a material is with a Charpy test, shown to the right. A large pendulum (here m= 50 kg, ka = 1.75 m) is released from rest when 0= 0°. The pendulum hits a notched sample of standard size of the material to be tested at S. The pendulum swings up the other side, with its angular distance measured by a ratcheted scale. The system is designed to minimize frictional losses, so the difference in the energy at release and the maximum energy in the follow through is the energy absorbed in fracturing the sample. For the Charpy apparatus shown, what is the angular velocity and kinetic energy of the pendulum the instant before it 1.25 m hits the sample at S when 0= 90°.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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3. One way of quantifying the energy needed to create fracture in a material is with a Charpy test, shown to the right. A large pendulum (here m= 50 kg, ka = 1.75 m) is released from rest 1.25 m when 0= 0°. The pendulum hits a notched sample of standard size of the material to be tested at S. The pendulum swings up the other side, with its angular distance measured by a ratcheted scale. The system is designed to minimize frictional losses, so the difference in the energy at release and the maximum energy in the follow through is the energy absorbed in fracturing the sample. For the Charpy apparatus shown, what is the angular velocity and kinetic energy of the pendulum the instant before it hits the sample at S when 0=90°.
Transcribed Image Text:3. One way of quantifying the energy needed to create fracture in a material is with a Charpy test, shown to the right. A large pendulum (here m= 50 kg, ka = 1.75 m) is released from rest 1.25 m when 0= 0°. The pendulum hits a notched sample of standard size of the material to be tested at S. The pendulum swings up the other side, with its angular distance measured by a ratcheted scale. The system is designed to minimize frictional losses, so the difference in the energy at release and the maximum energy in the follow through is the energy absorbed in fracturing the sample. For the Charpy apparatus shown, what is the angular velocity and kinetic energy of the pendulum the instant before it hits the sample at S when 0=90°.
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