A particle is executing a motion in which its displacement as a function of time is given by x $$=$$ $$3$$ $$sin$$(5$$$$π$$$$t+$$π$$3)+$$$$cos$$$$(5$$$$π$$$$t+$$π$$3) where x is in m and t is in s. Then the motion is

Correct option is 2simple harmonic with time period 0.4 s

Questions

A particle is executing a motion in which its displacement as a function of time is given by
$x = 3 \sin (5 πt + \frac{π}{3}) + \cos (5 πt + \frac{π}{3})$ where x is in m and t is in s. Then the motion is

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simple harmonic with time period 0.2 s

simple harmonic with time period 0.4 s

simple harmonic with amplitude 3 m

not a simple harmonic but a periodic motion

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detailed solution

Correct option is B

x = 3 sin(5πt+π3)+cos(5πt+π3)Amplitude = xmax = 32+12 = 10, ω = 5πT = 2πω = 2π5π = 0.4 s

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A particle is executing a motion in which its displacement as a function of time is given by x = 3 sin(5πt+π3)+cos(5πt+π3) where x is in m and t is in s. Then the motion is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A particle is executing a motion in which its displacement as a function of time is given by
$x = 3 \sin (5 πt + \frac{π}{3}) + \cos (5 πt + \frac{π}{3})$ where x is in m and t is in s. Then the motion is