A disk is rotating in a horizontal plane with constant ω = 2 π rad / s . A small particle A of mass m is moved with in a frictionless radial groove, towards centre with uniform radial speed of 1 m/s

Question

A disk is rotating in a horizontal plane with constant $ω = \frac{π}{2} rad / s$ . A small particle A of mass m is moved with in a frictionless radial groove, towards centre with uniform radial speed of 1 m/s relative to platform. If particle goes from $r = 2 m$ to $r = 1 m$ , the net impulse on particle A is expressed as

CT45 n1 diagram

TestHub · Accepted Answer

During the one-second inward motion the platform turns π/2. Initial velocity is -i+πj and final velocity is -(π/2)i-j. The impulse magnitude matches the given form with α=1, so 3α+2=5.

Physics - Rotation Question with Solution | TestHub

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