Momentum and CollisionMedium
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
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
On dipping a capillary of radius ′r′ in water, water rises up to a height H and potential energy of water is...A 10 kg wagon is pushed with a force of 7N for 1.5 second, then with a force of 5 N for 1.7 seconds, and then with a for...Two bodies of masses 0.1 kg and 0.4 kg move towards each other with the velocities 1m/s and 0.1m/s respectively. After c...An open vessel full of water is falling freely under gravity. There is a small hole in one face of the vessel, as shown ...If the kinetic energy of a body is double of its initial kinetic energy, then the momentum of the body will be...