A disc of radius R rolls on a horizontal surface with linear velocity V and angular velocity \omega . There is a point P on circumference of disc at angle \theta with upward vertical diameter measured anticlockwise see figure, which has a vertical velocity. Here \theta is equal to

\pi+\sin ^{-1} \frac{V}{R \omega}

\frac{\pi}{2}-\sin ^{-1} \frac{V}{R \omega}

\pi-\cos ^{-1} \frac{V}{R \omega}

\pi+\cos ^{-1} \frac{V}{R \omega}

JEE Advanced 2020 Full Test 4 Paper 2

Question : 2 of 54

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A disc of radius R rolls on a horizontal surface with linear velocity V and angular velocity ω. There is a point P on circumference of disc at angle θ with upward vertical diameter measured anticlockwise see figure, which has a vertical velocity. Here θ is equal to

π+sin−1‌
V
Rω
‌
π
2
−sin−1‌
V
Rω
π−cos−1‌
V
Rω
π+cos−1‌
V
Rω

Validate

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