PH 2501 – MECHANICS

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

PART A

Answer all questions. All questions carry equal marks. (10 x 2 = 20 marks)

Define linear momentum. Give its unit.
Show points of suspension and oscillation are interchangeable.
Define center of gravity.
What are concurrent forces?
State Torricelli theorem.
A venturimeter has pipe diameter of 0.2m and a throat diameter 0.15m. The levels of water

column in the two limbs differs by 0.1m. Calculate the amount of water discharged through

the pipe in one hour. (Density of water 1000 kgm^-3).

Define the concept of Degrees of freedom.
State D’Alembert’s principle.
State the postulates of special theory of relativity.
How fast would a rocket have to go relative to an observer for its length to be contracted to

99% of its length at rest.

PART B

Answer any FOUR questions. (4 x 7.5 = 30 marks)

Derive an expression for the period of oscillation of torsion pendulum.
Determine the location of the center of gravity of a solid cone.
Describe and explain working of pitot tube.
Explain the term “virtual displacement” and state the principle of virtual work.
Derive an expression for addition of velocities using Lorentz transformation.

PART C

Answer any FOUR questions. (4 x 12.5 = 50 marks)

Explain how g can be determined using Compound pendulum.
State the laws of flotation. Discuss the experimental determination of the metacentric height

of a ship?

State and explain Bernoulli’s theorem. Discuss in detail two applications of this theorem.
State Lagrange’s equations of motion in generalized coordinates. Apply them to the

Atwood’s machine to find the acceleration of the system.

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