Momentum and CollisionHard
Question
The wires A and B shown in the figure are made of the same material, and have radii rA and rB respectively. The block between them has a mass m. When the force F is mg/3, one of the wires breaks -
Options
A.A will break before B if rA = rB
B.A will break before B if rA < 2rB
C.Either A or B may break if rA = 2rB
D.The lengths of A and B must be known to predict which wire will break
Solution
Tension in B = TB =
Tension in A = TA = TB + mg =
∴ TA = 4TB
Stress =
Wire breaks when stress
= Breaking stress for rA = rB
⇒ sA = 4sB
∴ A breaks before B
for rA = 2rA ⇒ sB =
sA =
∴ stresses are equal so either A or B may break
Tension in A = TA = TB + mg =
∴ TA = 4TB
Stress =
Wire breaks when stress
= Breaking stress for rA = rB
⇒ sA = 4sB
∴ A breaks before B
for rA = 2rA ⇒ sB =
sA =
∴ stresses are equal so either A or B may break
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