A system exhibiting SHM must possess
inertia only
elasticity as well as inertia
elasticity, inertia and an external force
elasticity only
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Elasticity brings the particle towards mean position and inertia needed to cross mean position.
The motion which is not simple harmonic is
vertical oscillations of a spring
motion of simple pendulum
motion of a planet around the Sun
oscillation of liquid column in a U-tube
The motion of a planet around the sun is periodic motion but not a simple harmonic motions.
A particle moves on the -axis according to the equation . The motion is simple harmonic with amplitude
Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance directly above the tunnel, the motion of the particle is
simple harmonic
parabolic
oscillatory
non-periodic
(c) When a particle is dropped from a height above the centre of tunnel.
(i) It will oscillate, through the earth to a height on both sides.
(ii) The motion of particle is periodic.
(iii) The motion of particle will not be S.H.M.
For a particle moving according to the equation , the displacement in is
0
Initially
Finally at
Total displacement
A body oscillates with SHM according to the equation (in SI units), .
Its instantaneous displacement at second is
Given
i.e., displacement at is
A particle moves in a circular path with a uniform speed. Its motion is
periodic
angular simple harmonic
The motion of the particle is periodic, (not oscillatory), beacuse it returns to its starting point after a fixed time.
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