The displacement equation of a particle is x = 3 sin 2t + 4 cos 2t, where x is in meter and t in second. The amplitude and maximum velocity will be respectively:
Text Solution
Verified by ExpertsThe correct answer is:
A
Displacement equation is
x = 3 sin 2t + 4 cos 2t
Comparing this equation with
x = a 1 sin ω t + a 2 cos ω t
we get,
a 1 = 3, a 2 = 4 ω = 2
∴ a = 
= 
= 5 meter
and maximum velocity υ max = a ω = 5 × 2 = 10 m/s
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The S.H.M. of a particle is given by the equation . The amplitude is
If the displacement equation of a particle be represented by , the particle executes
The motion of a particle varies with time according to the relation , then
The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitud…
Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. Whe…
The displacement of a particle varies according to the relation x = 4(cos π π t + sin π π t). The a…