Rotation 3 Question 16

22. A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle 60 with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is (23)/10s, then the height of the top of the inclined plane, in metres, is (Take, g=10ms2 ) (2018 Main)

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Answer:

Correct Answer: 22. (0.75)

Solution:

a=gsinθ1+IMR2aring =gsinθ2(I=MR2)adisc =2gsinθ3I=MR22

s=hsinθ=12at2=12gsinθ2t12t1=4hgsin2θ=16h3gs=hsinθ=12at2=122gsinθ3t22t2=3hgsin2θ=4hgt2t1=16h3g4hg=2310h432=23

 or 3fm=ω2Af=Mω2A3τmax=fR=Mω2AR3



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