4. Two particles of mass m1=m and m2=2m are connected by an inextensible string

Question

4. Two particles of mass m1=m and m2=2m are connected by an inextensible string and

move on a frictionless horizontal plane such that the string is always in tension (much

like the figure shown for problem #2). Initially the particles are rotating about one

another such that the string has an angular speed ?0 and length L0. A mechanism in m1

then reels in the string so that the new length is L0/2, which is then held constant.

Determine for the new configuration: (a) the angular speed and (b) the tension of the

string.

Explanation / Answer

apllying conservation of angu,ar momentum we have

m*w0*L0^2+2*m*w0^2*L0^2=m*w*L0^2/4+2*m*w*L0^2

w=4/3w0 ans

b.) Tension In the Spring

m*(w)^2*L0/2

=16/6*m*w0^2*L0

=8/3*m*w0^2*L0

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