Question

Problema e in imagine. Ms.

Answer 1

Pt.m:Vectorial: G+T2=ma

Scalar mg-T2= ma (1)

Pt.m1:Vectorial:T2+G1+N1+Ff1+T1=m1a

Scalar: Ox:T2-Ff1-T1=m1a

Oy:N1-m1g=0=>N1=m1g

Ff1=μN1=μm1g

T2-μm1g-T1=m1a (2)

Pt.m2:Vectorial:T1+G2+N2+Ff2=m2a

Scalar:Ox:T1-Ff2=m2a

Oy:N2-m2g=0=>N2=m2g

Ff2=μN2=μm2g

T1-μm2g=m2a (3)

(1)+(2)+(3)=>mg-μg(m1+m2)=a(m+m1+m2)=>a=[mg-μg(m1+m2)]/(m+m1+m2)=[1•10-0,1•10(7+5)]/(1+5+7)=(10-1•12)/13=-2/13=-0,15 m/s^2

T2=-ma+mg=-1(-0,15)+1•10=0,15+10=10,15 N

T1=m2(a+μg)=5(-0,15+1)=5•0,85=4,25 N

Ff1=μm1g=0,1•7•10=7 N

Ff2=μm2g=0,1•10•5=5 N