JEE Advanced2019PhysicsLaws of MotionActual
A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 c m 2 and, length 3 m and 1 m , respectively. Their other ends are fixed on a ceiling as shown in figure. The angles subtended by copper and steel wires with ceiling are 30 o and 60 o , respectively. If elongation in copper wire is Δ l C and elongation in steel wire is Δ l S , then the ratio Δ l C Δ l S is _____. [Young's
Correct answer
0
Step-by-step solution
2.00 Resolving in components ⇒ ∑ F x = 0 ⇒ T S c o s 60 = T C ⋅ c o s 30 ⇒ T S ⋅ 1 2 = T C ⋅ 3 2 ⇒ T S = 3 ⋅ T C Δ l C Δ l S = T C ⋅ l C T S ⋅ l S Y S ⇒ Δ l C Δ l S = T C T S l C l S Y S Y C = 1 3 3 1 2 × 10 11 1 × 10 11 = 2