Two bodies A & B rotate about an axis, such that angle θ_A (in radians) covered by first body i

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3-2.Motion in Plane

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Two bodies $A$ & $B$ rotate about an axis, such that angle $\theta_A$ (in radians) covered by first body is proportional to square of time, & $\theta_B$ (in radians) covered by second body varies linearly. At $t = 0, \theta \,A = \theta \,B = 0$. If $A$ completes its first revolution in $\sqrt \pi$ sec. & $B$ needs $4\pi \,sec$. to complete half revolution then; angular velocity $\omega_A : \omega_B$ at $t = 5\, sec$. are in the ratio

A$4 : 1$

B$20 : 1$

C$80 : 1$

D$20 : 4$

Solution

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Standard 11

Physics

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