(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An engine is suddenly coupled to a rotating drum by a friction clutch. the moment of inertia of the engine is equivalent to a mass of 40kg acting with a radius of gyration of 111mm. the drum has a mass of 10kg and a radius of gyration of 100mm. the initial velocity of the engine before engagement is 12rev/s and the drum is initially at rest. find the velocity of engine and drum immediately after connection.

2. Relevant equations

total moment before impact = total moment after impact

(m1.u1) +(m2.u2) = (m1.v1)+(m2.v2)

3. The attempt at a solution

ive seen questions like this before without the gyration part in the question & i know that i'd just plug the weight into the equation along with the velocity for example

(40x12) +(10x0) = (40xV)+(10xv) and then just rearrange to find the end velocity. However the addition of the moment of inertia and radius gyration has thrown me. do i use the equation I=m.k² and use the answers for the engine and drum and replace the m1 and m2 with the I1 and I2 value id get from that equation?

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# Homework Help: Kinectics of particles. impact between 2 bodies 1 of which is stationary

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