The displacement 'x' of a particle at time 't' is given by x = 10 sin 4t. the particle oscillates with period.
Correct answer: D. π/2s
- A. π/10s
- B. π/5s
- C. π/4s
- D. π/2s
Explanation
x=10sin4t , period T=?We know that x=x°sinθ x= x°sin wtx=x° sin2πftComparing10sin4t= x° sin2πft4=2πf4=2π/TT=2π/4T=π/2 sec ans
This question appeared on the ETEA MDCAT 2014 paper, which you can sit online with every answer explained.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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