Q.
Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and C with linear speed v1 and v2, respectively, and always remain in contact with the surfaces, If they reach B and D with the same linear speed and v1=3 m/s, v2 in m/s is (g=10 m/s2)
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answer is 7.
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Detailed Solution
By law of conservation of energy,12mv121+k2R2+mghAB=12mv221+k2R2+mghCD⇒12m1+k2R2v12−v22=mghCD−hAB⇒12m(3/2)9−v22=mg(−3) ∵ for disck2R2=12⇒9−v22=−4g⇒v22=49⇒v2=7m/s
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