LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

XC 04

SECOND SEMESTER – April 2009

PH 2500 – MECHANICS & SOUND

 

 

 

Date & Time: 23/04/2009 / 1:00 – 4:00       Dept. No.                                                       Max. : 100 Marks

 

 

PART – A

Answer ALL questions:                                                                                     (10×2=20 Marks)

 

1. State the parallel axes theorem of moment of inertia.
2. Two cars A &B are moving with velocities 24km/hr and 32km/hr due east and north

respectively. Find the relative velocity.

3. Define centre of gravity.
4. State the laws of floatation.
5. What are holonomic and nonholonomic constraints?
6. Define conservative and non conservative systems.
7. A tuning fork A produces 4 beats/sec with a tuning fork of frequency 256 Hz. The fork A is filed and the

beats occur at shorter intervals. What was its original frequency?

8. State the laws of vibrations of a transverse string.
9. What is piezoelectric effect?
10. A hall of volume 4500m³ is found to have a reverberation time of 2.37 sec. If the sound

absorbing surface of the hall has an area of 750m², calculate the absorption coefficient.

 

PART – B

Answer any FOUR questions:                                                                          (4×7.5=30 Marks)

 

11. Show that the path of a projectile is a parabola.
12. Find out the position of the centre of gravity of a hollow hemisphere.
13. Apply Lagrange’s equations of motion to the Atwood machine to find out the acceleration

of the system.

14. Discuss the effect of pressure, temperature and density on the velocity of sound.
15. Describe the magnetostriction method of producing ultrasonic waves.

 

PART – C

Answer any FOUR questions:                                                                         (4×12.5=50 Marks)

 

16. a) Obtain an expression for the acceleration of a body rolling down an inclined plane

without slipping.                                                                                                              (8.5)

1. b) Discuss the above result for the cases of solid sphere and solid cylinder. (4)
2. Find the location of the centre of pressure of a triangular lamina immersed in a liquid

with its (i) vertex and (ii) base, touching the surface of the liquid.                               (6+6.5)

18. a)Derive the equation of motion for a simple pendulum, using Lagrangian method.     (6)

b)State Hamiltonian principle and obtain Hamiltonian equations of motion.                  (6.5)

19. Discuss the composition of two simple harmonic motions acting along (i) a straight line

and (ii) at right angles.                                                                                                   (5+7.5)

20. a) Define reverberation time and explain the use of Sabine’s formula. (2+4.5)
21. b) Discuss the condition for good a acoustical design of an auditorium. (6)

 

 

 

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