A 2.0 kg , 20-cm-diameter turntable rotates at 130 rpm on frictionles

Carla Murphy 2021-12-16 Answered
A 2.0 kg , 20-cm-diameter turntable rotates at 130 rpm on frictionless bearings. Two 510 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diameter, and stick.
What is the turntables
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Expert Answer

MoxboasteBots5h
Answered 2021-12-17 Author has 35 answers
Write a given values of thus question.
M=2 kg
ω=130 r±
m=510 g
=0.510 k
Moment of inertia of 2 kf rotating block.
I=12MR2
Moment of inertia of 510g block.
I=12mr2
Calculate angular moment of 510g block from the center rotating 2kg block.
Iω=(1+2mr2)ω
Calculate a turntable's angular velocity.
In this above question, no external torque produced so that angular moment will constant.
Iω=Iω
Iω=(I+2mr2)ω
mR22×ω=(I+2mr2)×ω
2×0.122×130=(2×0.122+2×0.510×0.12)×ω
ω=64.35 r±

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