LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B.Sc. DEGREE EXAMINATION – PHYSICS

SECOND SEMESTER – April 2009
PH 2503 – MECHANICS
Date & Time: 23/04/2009 / 1:00 – 4:00 Dept. No. Max. : 100 Marks
PART – A
Answer ALL questions: (10×2=20 Marks)
 Define centre of oscillation and centre of suspension.
 What is a compound pendulum?
 Explain concurrent forces.
 Define centre of gravity.
 Water flowing with a velocity of 2m/s in a 4cm diameter pipe enters a narrow pipe having a diameter of 2cm. Calculate the velocity in the narrow pipe.
 State Torricelli’s theorem.
 What are generalized coordinates?
 Explain constraints with an example.
 State Newton’s universal law of gravitation.
 Calculate the escape velocity of a body from the moon’s surface, if the radius of the moon is 1.7×10^{6}m and acceleration due to gravity on the moon’s surface is 1.63m/s^{2}.
PART B
Answer any FOUR questions: (4×7.5=30 Marks)
 State and prove the law of conservation of angular momentum. (2+5.5)
 Find out the location of the centre of gravity of a solid tetrahedron.
 Explain the working of venturimeter.
 Apply Lagrange’s equations of motion to the Atwood machine to find out the
acceleration of the system.
 a)State Kepler’s laws of motion. (3)
b)Derive law of gravitation from Kepler’s law. (4.5)
PART C
Answer any FOUR questions: (4×12.5=50 Marks)
 a) Derive an expression for the period of oscillation of a compound pendulum. (7.5) b)Find out the condition for the minimum time period. (5)
 Find the position 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)
 a)State and prove Bernoulli’s theorem. (6)
b)Obtain the relation between time of diffusion and length of column. (6.5)
 a)Explain the term ‘virtual displacement’ and state the principle of ‘virtual work’. (6.5)
b)State and explain D’Alembert’s principle. (6)
 Define and obtain expressions for (i)orbital velocity and (ii) escape velocity of a
satellite. (6+6.5)
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