Questions
The equation of motion of a particle is . The motion is
a
periodic but not oscillatory
b
periodic and oscillatory
c
oscillatory but not periodic
d
Neither periodic nor oscillatory
detailed solution
Correct option is C
As the given equation is x = a cos (αt)2is a cosine function. Hence, it is an oscillatory motion.Now, putting (t + T) in place of t, x(t+T)=a cos [α(t+T)]2 ∵x(t)=a cos(αt)2 =a cos αt2+αT2+2αtT≠x(t)where, T is supposed as period of the function ω (t).Hence, it is not periodic.Talk to our academic expert!
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