Question #106344
The stones tied on top are evenly rotating in a vertical plane. Upholstery
the difference between the maximum and minimum values of the pulling force of the wire
If ∆T = 10N
Find the mass of the stone m.
1
Expert's answer
2020-03-25T11:07:35-0400

At the top:


Tt=mvt2rmg,Tb=mvb2r+mgT_t=m\frac{v_t^2}{r}-mg,T_b=m\frac{v_b^2}{r}+mg

From the conservation of energy:


0.5mvt2+2mgr=0.5mvb20.5mv_t^2+2mgr=0.5mv_b^2

TbTt=6mgT_b-T_t=6mg

10=6(9.8)m10=6(9.8)m

m=0.17 kgm=0.17\ kg


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