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NEET
Exam
NEET
Subject
Physics
Chapter
Oscillations

NEET · Physics · Oscillations

The equation of motion for an oscillating particle is given by (x=3...

The equation of motion for an oscillating particle is given by (x=3 \sin 4 \pi t+4 \cos 4 \pi t) where x is in cm and t is in sec. Choose the correct statements : (a) the motion is simple harmonic (b) amplitude of oscillating is 5 cm (c) motion is periodicThe equation of motion for an oscillating particle is given by (x=3 4 π t+4 4 π t) where x is in cm and t is in sec.

Options

  1. Aa, b, c
  2. BOnly a, b
  3. COnly b, c
  4. DOnly b

Correct answer

A. a, b, c

Step-by-step solution

The equation of motion for an oscillating particle is given by (x=3 4 π t+4 4 π t) where x is in cm and t is in sec.
x=3sin⁡4πt+4cos⁡4πttan⁡θ=43θ=53∘x=5sin⁡(4πt+53)(SHM)\begin{aligned} & x=3 \sin 4 \pi t+4 \cos 4 \pi t \\ & \tan \theta=\frac{4}{3} \\ & \theta=53^{\circ} \\ & x=5 \sin (4 \pi t+53) \\ & (\mathrm{SHM})\end{aligned})$
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