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199499

2 C 22101

State and explain the principle of equivalence.
With proper examples explain simple harmonic motion.
(8 x 3 = 24 marks)
Section B

Answer atleast five questions.

Each question carries 5 marks.

All questions can be attended.
Overall ceiling 25.

State and prove Kepler’s third law.

Explain the Foucault pendulum. Calculate the time it will take the plane of oscillation of a Foucault’s
pendulum to turn through 90° at a point where the co-latitude is 60°.

Find the spring constant k and damping constant b of a damped oscillator having a mass of 5 kg,
frequency of oscillation 0.5 Hz, and logarithmic decrement 0.02.

A cylinder of mass M and radius R rolls without slipping on a plank that is accelerated at rate A.
Find the acceleration of the cylinder.

The centre of mass of a 1600 kg car is midway between the wheels and 0.7 m above the ground.
The wheels are 2.6 m apart.

(a) What is the minimum acceleration A of the car so that the front wheels just begin to lift off
the ground ?
(b) Ifthe car decelerates at rate g, what is the normal force on the front wheels and on the

rear wheels ?

Explain the Q factor of an oscillator. In one experiment, a paper weight suspended from a hefty
rubber band had a period of 1.2 s and the amplitude of oscillation decreased by factor 2 after three
periods. What is the estimated Q of this system ?

Discuss Newton’s model to determine the velocity of sound in air. Account for the correction required
to obtain observed result.

(5 x 5 = 25 marks)

199499