Question

N3.L2.4-01 A mass of 3.0 kg is tied via a light string to the center of a table. A sccond mass of 5.0 kg is tied, also via a light string, to the first mass. Both masses are made to undergo uniform circular motion in the horizontal plane at a rate of 10 revolutions per second. The first mass is 1.2 m from the center of the table and the sccond mass is 2.0 m from the center of the table (a) What is the tension in both strings? (b) Use Related Quantities along with Proportionality sense-making tech- nique to check your answer to part (a) behaves the way you'd ex- pect. Should the tension increase if the speed increases? Which ten- sion do you expect to be greater?

Answer 1

Problem can be solve as below,

Ans! FBD for M,=3kg M₂=5 kg m, N - torps To Tio For W: 21TXN 1 = 62.83 rad's J R,= 1. 2m R₂=2m IT, = Tz tm, r,w²) - fer= m, R, w² fer = M₂ R2 W² FBD for m2 T2 o Fcz Iz = Me Raw ?] -e Tz = 5* 2 x 62.833 ha 628:5214 T2 a 39.478 KN Ti = Tz + 3x1.2*62** (62.83) Ti - 53.689 KN ] Ans: Yes tension should increase as speed increase To is always groter as Tia Tz + m, R,w² •; 1,7 Tz