Gecjdp.ac.in
GOVERNMENT ENGINEERING COLLEGE JAGDALPUR, BASTAR (C.G.)-494005
LAB MANUAL
OF
DYNAMICS OF MACHINE LAB
DEPARTMENT OF MECHANICAL ENGINEERING
NAME OF STUDENT
SEMESTER
BATCH
ROLL NO.
ACADEMIC SESSION
LABARATORY CLASSES - INSTRUCTIONS TO STUDENTS
1. Students must attend the lab classes with ID cards and in the prescribed uniform.
2. Boys-shirts tucked in and wearing closed leather shoes. Girls’ students with cut shoes, overcoat, and plait incite the coat. Girls’ students should not wear loose garments.
3. Students must check if the components, instruments and machinery are in working condition before setting up the experiment.
4. Power supply to the experimental set up/ equipment/ machine must be switched on only after the faculty checks and gives approval for doing the experiment. Students must start to the experiment. Students must start doing the experiments only after getting permissions from the faculty.
5. Any damage to any of the equipment/instrument/machine caused due to carelessness, the cost will be fully recovered from the individual (or) group of students.
6. Students may contact the lab in charge immediately for any unexpected
incidents and emergency.
7. The apparatus used for the experiments must be cleaned and returned to the technicians, safely without any damage.
8. Make sure, while leaving the lab after the stipulated time, that all the power connections are switched off.
DOM LAB // LESSON PLAN
|Sr. |Name Of Experiment |Planned date |Date of experiment|Remark |
|No. | | | | |
| | | | | |
| | | | | |
|1 |To find out the oscillations of simple pendulum with universal vibration apparatus|__/__/2018 |__/__/2018 | |
|2 |To find out the oscillations of Compound pendulum with universal vibration |__/__/2018 |__/__/2018 | |
| |apparatus. | | | |
|3 |To determine the radius of gyration of a body using bi-filler suspension. |__/__/2018 |__/__/2018 | |
|4 |To find out the frequency of damped torsional vibrations of single rotor system |__/__/2018 |__/__/2018 | |
| |with universal vibration apparatus. | | | |
|5 |To measure the frequency of torsional vibrations of single rotor system with |__/__/2018 |__/__/2018 | |
| |universal vibration apparatus. | | | |
|6 |To measure the frequency of torsional vibrations of double rotor system with |__/__/2018 |__/__/2018 | |
| |universal vibration apparatus. | | | |
|7 |To find out free vibration of helical coiled spring with universal vibration |__/__/2018 |__/__/2018 | |
| |apparatus. | | | |
|8 |To find out the gyroscopic couple and prove that gyroscopic law with Gyroscope |__/__/2018 |__/__/2018 | |
| |apparatus. | | | |
|9 |To find out the power and effort of Proell, Porter & Hartnell governor with |__/__/2018 |__/__/2018 | |
| |governor apparatus. | | | |
|10 |To find out the critical speed for different diameters of shaft by whirling of |__/__/2018 |__/__/2018 | |
| |shaft apparatus. | | | |
EXPERIMENT No. - 1
AIM:
To find out the oscillations of simple pendulum with universal vibration apparatus.
APPARATUS:
The unit is as shown in figure suitably fitted to the sturdy frame and following accessories are attached to it.
➢ Oscillating pendulum
Supporting apparatus to be used:
➢ Stop watch
➢ Measuring tape
[pic]
PROCEDURE:
Fix the balls with nylon ropes into the gripping chucks provided at the top beam of the frame & adjust the balls to suitable length. Measure the length of pendulum as shown. Oscillate the pendulum & measure the time required for 10 oscillations, repeat the procedure by changing the ball & changing the length.
OBSERVATION:
|S.No. |Ball size |Length |Time for 10 oscillations |Texpt |Tth |
| |(diameter) |(cms) |t |t/n | |
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
CALCULATIONS:
For simple pendulum, natural frequency of oscillations (Linear frequency)
[pic]
Where t = time period, sec/cycle.
Therefore [pic]
Experimentally,
[pic]
Compare the values obtained practically & theatrically.
CONCLUTION:
Time period of simple pendulum is proportional to square root of length L.
Plot a graph of T² Vs. L.
VIVA QUESTION:
1. What is the difference between linear frequency & circular frequency of vibration?
2. What do you mean by time period in vibration?
3. What is longitudinal vibration?
4. What do you mean by free vibration?
5. Derive the equation of motion for simple pendulum in free vibration?
EXPERIMENT No. - 2
AIM:
To find out the oscillations of Compound pendulum with universal vibration apparatus.
APPARATUS:
The unit is as shown in figure suitably fitted to the sturdy frame and following accessories are attached to it.
➢ Oscillating pendulum
Supporting apparatus to be used:
➢ Stop watch
➢ Measuring tape
[pic]
THEORY:
A right body, when allowed to oscillate in vertical plane about the axis of suspension under the action of gravitational force is called a compound pendulum. The DYNAMIC unit is provided with a simple design as shown.
PROCEDURE:
Fix the brass bush in any of the holes of the pendulum & mount the pendulum over the suspension shaft. Fitted at top beam of frame. Oscillate the pendulum & measure the time required for 10 oscillations. Repeat the procedure by putting the bush in different holes.
OBSERVATION:
|S.No. |Length of compound |Center of |Number of Oscillations|Time reqd. for n |Texpt |Kth |Kexpt |
| |pendulum |gravity | |Oscillation |in sec | | |
| |L |(h) | | |t/n | | |
|1 | | | | | | | |
|2 | | | | | | | |
CALCULATIONS:
Let, m = mass of compound pendulum = ----- gm
h = distance of C. g. from axis of suspension
k = radius of gyration about an axis through c.g. perpendicular to plane of oscillation.
Natural frequency of oscillation-
[pic]
[pic]
& equivalent length of pendulum,
[pic]
The equivalent length can be verified by setting the simple pendulum to l.
RESULTS:
➢ The equivalent length of pendulum is found to be …………….mm.
➢ The radius of gyration is found to be …………………………..mm.
CONCLUSION:
By experiment it is fount that radius of gyration K is verified the
Theoretically & experimentally.
VIVA QUESTION:
1. What is the difference between free vibration & forced vibration?
2. Write the equation of motion for compound pendulum?
3. What is then natural frequency of vibration of compound pendulum?
4. What do you mean by compound pendulum?
5. Derive the expression for frequency of oscillation for pendulum?
6. What do you mean by time period of pendulum?
7. Which motion do the pendulum follow?
EXPERIMENT No. - 3
AIM:
To determine the radius of gyration of a body using bi-filler suspension.
APPARATUS:
The unit is as shown in figure suitably fitted to the sturdy frame and following accessories are attached to it.
➢ Bi-filler suspension setup
➢ Weights
Supporting apparatus to be used:
➢ Stop watch
➢ Measuring tape
[pic]
PROCEDURE:
Attach the bi-filler suspension strings in the chuck mounted at top beam of the frame. Adjust the string to equal lengths. Fix the weights required over the beam of bi-filler. Oscillate the system about vertical axis passing through the center of beam. Measure the time required for 10 oscillations. Repeat the procedure by changing the length of suspension.
OBSERVATION:
|S.No. |Length of cord in cm | |
| | | |
| | | |
| | | |
CALCULATION:
Let X1 & X2 be amplitudes at successive time intervals t1 & t2.
Then, logarithmic decrement,
X1
δ = Log-----------
X2
But also δ = 2лy
Where y = damping factor
Damping is very small(y ................
................
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