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प्रश्न
The radius of circle, the period of revolution, initial position, and sense of revolution are indicated in the figure.
y-projection of the radius vector of rotating particle P is:
विकल्प
y(t) = 3cos `((3pi"t")/2)`, where y in m
y(t) = 3cos `((pi"t")/2)`, where y in m
y(t) = -3cos `2pi"t"`, where y in m
y(t) = 4sin `((pi"t")/2)`, where y in m
MCQ
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उत्तर
y(t) = 3cos `((pi"t")/2)`, where y in m
Explanation:
The projection of the particle on Y-axis represents simple harmonic motion. 21. 23. 24. t = 0, displacement y is maximum, so the equation will be cosine function.
y =a cos `omega`t
`omega = (2pi)/"T" = (2pi)/4 = pi/2 ` rad/s
From figure,
a = 3 m
∴ y = 3cos `((pi"t")/2)`
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Reference Circle Method
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