A body of mass m is suspended by two strings makings angleandalpha; andandbeta; with the horizontal. Find the tension T1 in the strings.a)b)c)d)T1 = mg tanandprop;Correct answer is option 'A'. Can you explain this answer?

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A body of mass m is suspended by two strings makings angle α and β with the horizontal. Find the tension T₁ in the strings.

a)
b)
c)
d)
T₁ = mg tan∝

Correct answer is option 'A'. Can you explain this answer?

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A body of mass m is suspended by two strings makings angleα and&...

Force acting on the system are shown in Fig.
For equilibrium in horizontal direction.
T₁ cos∝ = T₂ cosβ .....(1)
For equilibrium in vertical direction,
T₁ sin∝ = T₂ sinβ - mg = 0 .....(2)
From(1)

....(3)
Put in (2)

T₁(sinα cosβ+cosαsinβ) = mgcosβ
T₁sin (α+β) = mg cosβ

Put in (3)

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A body of mass m is suspended by two strings makings angleα andβ with the horizontal. Find the tension T1 in the strings.a)b)c)d)T1 = mg tan∝Correct answer is option 'A'. Can you explain this answer?

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