Question

Calculate T1 and T2 in the figure

Answer 1

as there is no motion along horizontal direction

T1sin30=T2cos30

T1*1/2=T2*√3/2

T1=√3T2

also

T₁cos30+T₂sin30=mg

T₁√3/2+T₂/2=mg

√3T₁+T₂=2mg

but T₁=√3T₂

therefore

√3*√3T₂+T₂=mg

4T₂=mg

T₂=mg/4

since we know T2 therefore T1 is

T₁=√3T₂

=√3/4T₂

Hope this helps

Answer 2

Answer:

as there is no motion along horizontal direction

T1sin30=T2cos30

T1*1/2=T2*√3/2

T1=√3T2

also

T₁cos30+T₂sin30=mg

T₁√3/2+T₂/2=mg

√3T₁+T₂=2mg

but T₁=√3T₂

therefore

√3*√3T₂+T₂=mg

4T₂=mg

T₂=mg/4

since we know T2 therefore T1 is

T₁=√3T₂

=√3/4T₂

Hope this helps

Explanation:

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