A 40 N block is supported by two ropes- One rope is horizontal and the other makes an angle of 30 - with the ceiling- The tension in the rope attached to the ceiling is approximately-

The correct option is A 80 NIn x direction: T_1=T_2cos 30^o→ (i) In y direction T_2sin 30^o=40 T_2=80 N Option A #160; ...

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Byju's Answer

Standard XII

Physics

Applying NLM along 3 Axis

A 40 N block ...

Question

A 40 N block is supported by two ropes. One rope is horizontal and the other makes an angle of $30^{\circ}$ with the ceiling. The tension in the rope attached to the ceiling is approximately:

80 N

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40 N

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34.6 N

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46.2 N

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Solution

The correct option is A 80 N
In $x -$ direction:
$T_{1} = T_{2} cos 30^{o} \to (i)$
In $y -$ direction
$T_{2} sin 30^{o} = 40$
$T_{2} = 80 N$
Option $A$

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Similar questions

A mass of 6 kg is suspended by a rope of length 2 m from a ceiling. A force of 50 N in the horizontal direction is applied at the mid-point of the rope, as shown. What is the angle the rope makes with the vertical in equilibrium?

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A 40 N block is supported by two ropes. One rope is horizontal and the other makes an angle of 30∘ with the ceiling. The tension in the rope attached to the ceiling is approximately:

The correct option is A 80 NIn x− direction:T1=T2cos30o→(i)In y− directionT2sin30o=40T2=80 NOption A

A 40 N block is supported by two ropes. One rope is horizontal and the other makes an angle of $30^{\circ}$ with the ceiling. The tension in the rope attached to the ceiling is approximately:

The correct option is A 80 N
In $x -$ direction:
$T_{1} = T_{2} cos 30^{o} \to (i)$
In $y -$ direction
$T_{2} sin 30^{o} = 40$
$T_{2} = 80 N$
Option $A$