Problem 1. This figure shows two small objects each of mass m connected by a low

Question

Problem 1. This figure shows two small objects each of mass m connected by a low-mass rod of length L. At a particular instant they have the velocities shown in the accompanying diagram We are looking down on the system which is sliding z (out of page) past the point A on an icy surface, the plane. What is the translational kinetic energy of the system and is it less than, equal to or greater than the system's total kinetic energy? (vi +vi) A. K B. K m (v, v. trans C. K D. K mvi K. mv trans E. K trans mv Problem 2. What is the rotational angular momentum of the system in the preceding problem? vi v.),0,0 0,0,mh(Vi v A. L mL. mL C. L D. L v, v Problem 3. What is the translational angular momentum about point A of the system in the preceding problems? 0,0,-m (vi v2) h+ 0,0,m (L+h) mhve A. L trans, A trans,A Dtrans,A trans,A 0,0,mh (v +v

Explanation / Answer

1) Option b is correct.

tital mass= 2m, Vcm = (v1+v2)/2

Translational KE= 0.5*2m((v1+v2)/2 )^2= (1/4)*m(v1+v2)^2

it will be less than total KE as it will have rotational KE also if v2>v1.

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