PH8151 Engineering Physics Chapter 1

1.7. TORSION PENDULUM 1.7 Torsion pendulum Torsion pendulum is an oscillator for which the restoring reaction is torsion. It con ...

22 CHAPTER 1. PROPERTIES OF MATTER 1.7.1 Torsion Pendulum - Determination of Rigidity Modulus of Suspension Wire Consider the su ...

1.7. TORSION PENDULUM The area of cross-section of the imaginary shell = circumference◊width =(2fix)◊(dx). Therefore, force acti ...

24 CHAPTER 1. PROPERTIES OF MATTER Squaring, T 02 =4fi^2 I c (1.18) Substitute forcfrom equation (1.14): T 02 =4fi^2 1 I finr^4 ...

1.7. TORSION PENDULUM m m m m d 1 d 1 d 2 d 2 (i) (ii) (iii) Axis of cylindrical mass Figure 1.22: Determination of Rigidity Mod ...

26 CHAPTER 1. PROPERTIES OF MATTER n= 8 fiIl T 02 r^4 = 8 fil T 02 r^4 A 2 m(d^22 ≠d^21 )T 02 T 22 ≠T 12 B Hence, the rigidity m ...

1.8. BENDING OF BEAMS Self Learning Activity : Torsion Pendulum Using the torsion pendulum simulator, study the behaviour of die ...

28 CHAPTER 1. PROPERTIES OF MATTER M N M’ N’ M N N’ M’ (a) (b) Compressive Force Tensile Force F F neutral surface neutral^ surf ...

1.9. BENDING MOMENT OF A BEAM OP=OQ=R and \POQ=◊such thatPQ=R◊ Consider another filament DE at a distancexabove MN and two point ...

30 CHAPTER 1. PROPERTIES OF MATTER 1.10 Cantilever: Theory and Experiment A cantilever is a beam fixed horizontally at one end a ...

1.10. CANTILEVER: THEORY AND EXPERIMENT whereY is the Young’s Modulus of the material of the cantilever and the geometric moment ...

32 CHAPTER 1. PROPERTIES OF MATTER l Load Pin Figure 1.26: Cantilever - determination of Young’s Modulus Load (kg) Travelling Mi ...

1.11. UNIFORM BENDING AND NONUNIFORM BENDING which means that the shear force is zero. Nonuniform bending refers to flexure of b ...

34 CHAPTER 1. PROPERTIES OF MATTER R- Radius of curvature of the neutral filament of the bar. In the equilibrium position, momen ...

1.11. UNIFORM BENDING AND NONUNIFORM BENDING Substituting for ( 1 /R)from(1.38) in equation (1.37), we arrive at: Wa=YIg 3 8 y l ...

36 CHAPTER 1. PROPERTIES OF MATTER Self Learning Activity : Young’s Modulus Uniform Bending Using the unifrom bending simulator, ...

1.11. UNIFORM BENDING AND NONUNIFORM BENDING l Load l 2 <latexit sha1_base64="b8OymSCgBm9xer8Rj4ow1i6PWmA=">AAAB83icbVBNS8 ...

38 CHAPTER 1. PROPERTIES OF MATTER Load (kg) Travelling Microscope Readings Depression for load M= 0.05 kg (m) Load increasing(m ...

1.12. STRESS DUE TO BENDING IN BEAMS Stress due to bending in beams x The neutral axis is an axis in the cross section of a beam ...

40 CHAPTER 1. PROPERTIES OF MATTER For a bar of rectangular cross-section with thickness dand breadthb as shown in Figure1.35, d ...