The radius of a circle, period of revolution, initial position and sense of revolution of a particle P are shown in the original figure (radius 3 m, T = 4 s, initially at the top, clockwise). The y-projection of the radius vector of rotating particle P is:
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Question

The radius of a circle, period of revolution, initial position and sense of revolution of a particle P are shown in the original figure (radius 3 m, T = 4 s, initially at the top, clockwise). The y-projection of the radius vector of rotating particle P is:

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G1 Physics · Accepted Answer

Step 1: The y-component is maximum and positive initially, so use y(t) = R cos(ωt). Step 2: The circle has R = 3 m and T = 4 s. Step 3: Angular speed ω = 2π/T = π/2 rad s⁻¹. Step 4: Therefore y(t) = 3 cos(πt/2) m. Final answer: (C) y(t) = 3 cos(πt/2) m.