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

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

Related questions

Q: A material presents S-N fatigue behaviour shown on the right with the fatigue limit being 100 MPa.…

A: Given data: Se= 100 MPa. Diameter of the bar d= 20 mm. To ensure no occurance of the fatigue…

Q: The purpose of this problem is to show the relationship between material constants typically used in…

A: Cijkl = λδijδkl + μ(δikδjl + δilδjk) It is asked to derive E = μ(3λ+2μ)/(λ+μ) from the above…

Q: 12) If we want a component made from this material to withstand at least 5 x 10° Cycles, what is the…

A: Given: The number of cycles, N = 5x105

Q: Determine the young’s modulus value of each material testing, and indicate which material is the…

Q: A material presents S-N fatigue behaviour shown on the right with the fatigue limit being 100 MPa.…

A: Given data:- Fatigue limit = 100 Mpa Diameter of bar = 20 mm Find the maximum tensile load by…

Q: The sides of a thin rectangular block are measured using different digital calipers as 25.00 + 0.05…

A: In case of sum of subtraction, uncertainties are simply added.

Q: Table 4 shows the fatigue data of a ductile cast iron to be used for an automobile axle that rotates…

A: (a) Draw an S-N curve i.e. stress amplitude versus the logarithm of the number of cycles before…

Q: Calculate the acceleration for the two sets of data you recorded and compare these values to those…

A: There are two types of accelerations that are acting on a circular surface. One type of acceleration…

Q: Strain gauges are a standard sensor to convert deformation into an electrical signal and are used…

A: Dear students

Q: Which of the following, among our "suspects" turned out to play no role in the parasitic torque…

A: Here we have to choose the correct option We are using the Parasitic relation

Q: Problem 6-5: The mass of a test specimen of metal alloy is measured to be m = 674.4 g. The procedure…

A: Given:the mass of the metal is the standard uncertainty mass is the volume of the specimen is the…

Q: 11) If this material is subjected to a stress amplitude of 200MPA, how many cycles stress can the…

A: Given: From graph, The number of cycles at 210 MPa, N1 = 106 The number of cycles at 480 MPa, N2 =…

Q: hows the values of stress amplitud Fatigue strength Sf (Mpa) 474 417

A: We know that stress life cycle Sf = aNb log Sf = log(a) + n *logN Let us assume Log Sf = Y, log…

Q: Considering Figure 20-8 (textbook), the torsion geometry parameter, Jw, for case 2 when b-6 and d=9…

A: b=6d=9

Q: In a tensile test for an aluminum alloy, the sample used is 2 inches long and 0.5 inches in…

Question

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°.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Jigs and Fixtures and Their Applications

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Dynamics of Rigid Bodies Please help ASAP. Rate will be given accordingly. Please write your answer on paper. Thank you so much. Note: The number of significant digits is set to 3. The tolerance is ±1 in the third significant digit. I need Answer after 40 minutes.
A certain equiangular strain gauge rosette is made up of three separate gauges. After it has been installed it is found that one of the gauges has, in error, been taken from an odd batch; its gauge factor is 2.0, that of the other two being 2.2. As the three gauges appear identical it is impossible to say which is the rogue and it is decided to proceed with the test. The following strain readings are obtained using a gauge factor setting on the strain gauge equipment of 2.2: Gauge direction 0o 60o 120o Strain * 10-6 +100 -250 +300 Taking into account the various gauge factor values evaluate the greatest possible shear stress value these readings can represent. For the specimen material E = 210 GN/m2 and v = 0.3
Project 3: Table 4 shows the fatigue data of a ductile cast iron to be used for an automobile axle that rotates at an average rotational speed of 750 revolutions per minute: Tuble 4: Fuligue dula of u duclile cust iron Stress Amplitude (МPa) Cycles to Failure 248 1 X 105 236 ЗX 105 224 1X 106 ЗX 106 1 X 107 3 X 107 1 X 108 3 X 108 213 201 193 193 193 a) Make an S-N plot (stress amplitude versus logarithm cycles to failure). b) What is the fatigue limit for this alloy? c) Determine the fatigue lifetimes at stress amplitudes of 230 MPa and 175 MPa? d) Discuss your results.
The amplitude of vibration for the system is observed to decrease by 25% of its initial value after 5 cycles. If m=10^# and k=20#/in. Find c Everything under the initial drawing is my scratch work, please start with that if possible.
Casson model often used to describe the shear stress vs. shear rate relationship in colloidal suspensions where particle aggregation might cause the measured viscosity to increase at low shear rates. shear stress τ and the appliedshear rate S were fitted to the Casson model as written as
A digital meter is used to determine the torque of a rotating shaft using single toothed flanges and inductive pick-ups. Static calibration show that the flange twist by an angle of one degree for an applied torque of 1000 Nm. In a test with the shaft rotating at 500 r.p.m., the torque calculated from the timer readings is 1200 Nm. What is the maximum possible error of final digit on the timer display represents units of 10^-5 se and accuracy of instrument specified 0.05% of the reading ± 1 in the final digit? Read again don't copy last answer was totally different from questions
I Modified True or False. Analyze the following principles, concepts, or scenarios on vibration. Write the word True if the statement is correct otherwise, identify the word or phrase that made the statement false and replace it with the correct term on the blank provided before each item. Separate it with a commal 1. Devastating effects of vibration occurs when the natural frequency of a certain structure coincides with the internal excitation. 2. It was found that viībration improves or contributes also to the effciency of certain industrial processes. 3. If the system is damped, some energy is stored in each cycle of vibration and must be replaced by an external source if a state of steady vibration is to be maintained. 4. Basically, the oscillation of a pendulum would naturally stop due to the resistance offered by the gravity. 5. The work done in deforming a spring is stored as strain or potential energy is represented by the area of a triangle. 6. In an octave band, it can be…
A spring balance is calibrated in an environment at a temperature of 25°C and has the following deflection/load characteristics Load (Kg) 6 Deflection(mm) b 24 It is used in an environment at a temperature of 35°C and the following deflection/ load characteristics. Load (Kg) 6 Deflection(mm) 4.5 29 Determine sensitivity at 25°C, sensitivity at 35 °C and zero drift per °C change in ambient temperature. sensitivity at 25°C sensitivity at 35°C ZERO DRIFT ZERO DRIFT/°C