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Unit 6 Dynamic Analysis 4 marks
Student Name/ID ____________________________________________
Question 1
The natural frequency of longitudinal vibration using consistent mass matrix method with one
element as shown in fig. Take E = 2 x 1011 N/m2, ρ = 7800 Kg /m2, L = 1 m A = 2 m2
Choose one answer.
1. 8770 Hz
2. 1475 Hz
3. 8000 Hz
4. 1395 Hz
Question 2
The natural frequency of longitudinal vibration using lumped mass matrix method with one
element as shown in fig. Take E = 2 x 1011 N/m2, ρ = 7800 Kg /m2, L = 1 m A = 2 m2
Choose one answer.
1. Both A and B
2. 7161.14 rad/sec
3. 1000 Hz
4. None of the above
Question 3
Find the natural frequencies of longitudinal vibrations of the same stepped bar of areas A1=
2000 mm2 and A2= 1000 mm2 and of equal lengths (L =1 m) when it is constrained at one
end. Use Lumped mass matrix approach and Take E = 2.1 x 1011 N/m2 and density = 7.8 x
103 kg/m3
Choose one answer.
1. 4750 rad/s
2. 4800 rad/s
3. 4770 rad/s
4. 4700 rad/s
Question 4
Find the natural frequencies of longitudinal vibrations of the same stepped bar of areas A1=
2000 mm2 and A2= 1000 mm2 and of equal lengths (L =1 m) when it is constrained at one
end. Use Lumped mass matrix approach and Take E = 2.1 x 1011 N/m2 and density = 7.8 x
103 kg/m3
Choose one answer.
1. 759 Hz
2. 785 Hz
3. 710 Hz
4. 851 Hz
Question 5
Find the natural frequencies of longitudinal vibrations of the same stepped bar of areas A1=
2000 mm2 and A2= 1000 mm2 and of equal lengths (L =1 m) when it is constrained at one
end. Use consistent mass matrix approach.
Choose one answer.
1. w = 2.57 sq root (E/rho)
2. w = 0.995 sq root (E/rho)
3. w = sq root (E/rho)
4. Both A and C
Page 1

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Unit 6 dynamic analysis bl 3

  • 1. Unit 6 Dynamic Analysis 4 marks Student Name/ID ____________________________________________ Question 1 The natural frequency of longitudinal vibration using consistent mass matrix method with one element as shown in fig. Take E = 2 x 1011 N/m2, ρ = 7800 Kg /m2, L = 1 m A = 2 m2 Choose one answer. 1. 8770 Hz 2. 1475 Hz 3. 8000 Hz 4. 1395 Hz Question 2 The natural frequency of longitudinal vibration using lumped mass matrix method with one element as shown in fig. Take E = 2 x 1011 N/m2, ρ = 7800 Kg /m2, L = 1 m A = 2 m2 Choose one answer. 1. Both A and B 2. 7161.14 rad/sec 3. 1000 Hz 4. None of the above Question 3 Find the natural frequencies of longitudinal vibrations of the same stepped bar of areas A1= 2000 mm2 and A2= 1000 mm2 and of equal lengths (L =1 m) when it is constrained at one end. Use Lumped mass matrix approach and Take E = 2.1 x 1011 N/m2 and density = 7.8 x 103 kg/m3 Choose one answer. 1. 4750 rad/s 2. 4800 rad/s 3. 4770 rad/s 4. 4700 rad/s Question 4 Find the natural frequencies of longitudinal vibrations of the same stepped bar of areas A1= 2000 mm2 and A2= 1000 mm2 and of equal lengths (L =1 m) when it is constrained at one end. Use Lumped mass matrix approach and Take E = 2.1 x 1011 N/m2 and density = 7.8 x 103 kg/m3 Choose one answer. 1. 759 Hz 2. 785 Hz 3. 710 Hz 4. 851 Hz Question 5 Find the natural frequencies of longitudinal vibrations of the same stepped bar of areas A1= 2000 mm2 and A2= 1000 mm2 and of equal lengths (L =1 m) when it is constrained at one end. Use consistent mass matrix approach. Choose one answer. 1. w = 2.57 sq root (E/rho) 2. w = 0.995 sq root (E/rho) 3. w = sq root (E/rho) 4. Both A and C Page 1