1.
Give two examples of periodic motion which are
not oscillatory. Answer
2.
The displacement in S.H.M. is given by y = a
sin (20t + 4). What is the displacement when it is increased by 2π/ω? Answer
3.
A girl is swinging seated in a swing. What is the
effect on the frequency of oscillation if she stands? Answer
4.
The bob of a simple pendulum is a hollow sphere
filled with water. How will the period of oscillation change, if the water
begins to drain out of the hollow sphere?
Answer
5.
The bob of a simple pendulum is made of wood.
What will be the effect on the time period if the wooden bob is replaced by an
identical bob of aluminum? Answer
6.
Will a pendulum clock gain or lose time when
taken to the top of a mountain? Answer
7.
What is the length of a simple pendulum which
ticks seconds? (g = 9.8 ms-2)
Answer
8.
What happens to the time period of a simple
pendulum if its length is increased up to four times? Answer
9.
A pendulum clock gives correct time at the
equator. Will it gain or lose time if it is taken to the poles? If so, why? Answer
10.
What fraction of the total energy is K.E when
the displacement is one half of a amplitude of a particle executing S.H.M? Answer
11.
What happens to the energy of a simple harmonic
oscillator if its amplitude is doubled?
Answer
12.
Can a simple pendulum be used in an artificial
satellite? Give the reason. Answer
Short Answer Questions
1.
Define simple harmonic motion? Give two examples. Answer
2.
Present graphically the variations of displacement, velocity and
acceleration with time for a particle in S.H.M. Answer
3.
What is phase? Discuss the phase relations between displacement,
velocity and acceleration in simple harmonic motion. Answer
4.
Obtain an equation for the frequency of oscillation of spring of
force constant k to which a mass m is attached. Answer
5.
Derive expressions for the kinetic energy and potential energy of
a simple harmonic oscillator. Answer
6.
How does the energy of a simple pendulum vary as it moves from one
extreme position to the other during its oscillations? Answer
7.
Derive the relations for the displacement, velocity and
acceleration of a particle executes S.H.M. Answer
1.
Define simple harmonic motion. Show that the motion of (point)
projection of a particle performing uniform circular motion, on any diameter,
is simple harmonic. Answer
2.
Show that the motion of a simple pendulum is simple harmonic and hence
derive an equation for its time period. What is seconds pendulum? Answer
3.
Derive the equations for the kinetic energy and potential energy
of a simple harmonic oscillator and show that the total energy of a particle in
simple harmonic motion is constant at any point on its path. Answer