Qstnid -Iii-11-a Particle Moves In The X-y Plane According To The Equation R→=i→+2j→acosωt.the Motion Of The Particle Is - 12: Simple Harmonic Motion - Cbse-xi-physics

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CBSE-XI-Physics

12: Simple Harmonic Motion

with Solutions - page 4

Qstn# iii-11 Prvs-Qstn Next-Qstn

#11
A particle moves in the X-Y plane according to the equation
r→=i→+2j→Acosωt.The motion of the particle is
(a) on a straight line
(b) on an ellipse
(c) periodic
(d) simple harmonic
digAnsr: a,c,d
Ans : (a) on a straight line
(c) periodic
(d) simple harmonic
The given equation is a solution to the equation of simple harmonic motion. The amplitude is `` (\stackrel{\rightharpoonup }{i}+2\stackrel{\rightharpoonup }{j})A``, following equation of straight line y = mx + c. Also, a simple harmonic motion is periodic.
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