SATHEE: Laws Of Motion Question 317

Laws Of Motion Question 317

Question: A weight W is supported by two cables as shown. The tension in the cable making angle $θ$ with horizontal will be the minimum when the value of $θ$ is.

Options:

A) 0

B) $30^{\circ}$

C) $60^{\circ}$

D) $45^{\circ}$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $T_{2} \sin θ + T_{1} \sin 60^{\circ} = W$

$T_{1} \cos 60^{\circ} = T_{2} \cos θ$

$T_{2} \sin θ + T_{2} \cos θ . \tan 60^{\circ} = W$

$T_{2} (\sin θ + \sqrt{3} \cos θ) = W$

$2 T_{2} (\sin 30^{\circ} \sin θ + \cos 30^{\circ} \cos θ) = W$

$\cos (30^{\circ} - θ) is maximum$

$If 30^{\circ} - θ = 0; θ = 30^{\circ}$

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Laws Of Motion Question 317

Question: A weight W is supported by two cables as shown. The tension in the cable making angle θ with horizontal will be the minimum when the value of θ is.

Options:

Answer:

Solution:

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Question: A weight W is supported by two cables as shown. The tension in the cable making angle $θ$ with horizontal will be the minimum when the value of $θ$ is.