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Question

Question: A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its...

A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

A

Tensile stress at any cross section A of the Wire FA\frac{F}{A} is

B

Tensile stress at any cross section is zero.

C

Tensile stress at any cross section A of the wire is 2FA\frac{2F}{A}

D

Tension at any cross section A of the wire is 2F.

Answer

Tensile stress at any cross section A of the Wire FA\frac{F}{A} is

Explanation

Solution

: When a wire is suspended from the ceiling and stretched under the action of a weight (F) suspended from its other end, the force exerted by the ceiling on it is equal and opposite to the weight, however, the tension at any cross-section A of the wire is just F and not 2f. Hence, tensile stress which is equal to the tension per unit area is equal to F/A