Fluid Mechanics

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ME 2307 – DYNAMICS LABORATORY

Class : V Semester MechanicalSections : A & B

LIST OF EXPERIMENTS

1. Free Transverse Vibration – I – Determination of Natural Frequency 2. Cam Analysis – Cam Profile and Jump-speed Characteristics 3. Free Transverse Vibration – II – Determination of Natural Frequency 4. Free Vibration of Spring Mass System – Determination of Natural Frequency 5. Compound Pendulum – Determination of Radius of Gyration and Moment of Inertia 6. Bifilar Suspension – Determination of Radius of Gyration and Moment of Inertia 7. Trifilar Suspension – Determination of Radius of Gyration and Moment of Inertia 8. Whirling of Shaft – Determination of Critical Speed

9. Balancing of Rotating Masses
10. Determination of Gyroscopic Couple
11. Turn Table
12. Hartnell Governor
13. Free Vibration of Spring Mass System – Determination of Natural Frequency

Beyond the Syllabus

14. Speed Ratio of Epi-cyclic Gear Train
15. Speed Ratio of Worm and Worm Wheel

EX NO:1:TRANSVERSE VIBRATION - I

Aim: To find the natural frequency of transverse vibration of the cantilever beam. Apparatus required: Displacement measuring system (strain gauge) and Weights

Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other end is hanging free for keeping the weights to find the natural frequency while applying the load on the beam. This displacement causes strain gauge bridge to give the output in milli-volts. Reading of the digital indicator will be in mm.

Formulae used:
1. Natural frequency = 1/2(((g/() Hz
where g= acceleration due to gravity in m/s2 and ( = deflection in m.

2. Theoretical deflection (= Wl3/3EI
Where, W= applied load in Newton, L= length of the beam in mm E= young’s modules of material in N/mm2, I= moment of inertia in mm4 =bh3/12 3. Experimental stiffness = W/( N-mm and Theoretical stiffness = W/( =3EI/l3 N/mm

Procedure:
1. Connect the sensors to instrument using connection cable. 2. Plug the main cord to 230v/ 50hz supply
3. Switch on the instrument
4. Keep the switch in the read position and turn the potentiometer till displays reads “0” 5. Keep the switch at cal position and turn the potentiometer till display reads 5 6. Keep the switch again in read position and ensure at the display shows “0” 7. Apply the load gradually in grams

8. Read the deflection in mm
Graph:
Draw the characteristics curves of load vs displacement, natural frequency Draw the characteristics curves of displacement vs natural frequency Result:
Observation: Cantilever beam dimensions: Length=30cm, Breadth=6.5cm and Height=0.4cm

Tabulation:

|Sl. No. |Applied mass |Deflection |Theoretical |Experimental |Theoretical |Natural frequency | | |m (kg) |( (mm) |deflection |Stiffness |Stiffness |fn (Hz) | | | | |( T (mm) |k (N/mm) |k (N/mm) | | | | | | | | | |

EX NO:2CAM ANALYSIS

Aim:
To study the profile of given can using cam analysis system and to draw the displacement diagram for the follower and the cam profile. Also to study the jump-speed characteristics of the cam & follower mechanism. Apparatus required: Cam analysis system and Dial gauge

Description:
A cam is a machine element such as a cylinder or any other solid with a surface of contact so designed as to give a predetermined motion to another element called the follower.A cam is a rotating body importing oscillating motor to the follower. All cam mechanisms are composed of at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam....
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