Question

Two bodies of masses m₁ and m₂ are connected by a light, inextensible string which passes over a frictionless pulley. If the pulley is moving upward with uniform acceleration g, then the tension in the string is –

• A. $\frac { 4 \mathrm {~m} _ { 1 } \mathrm {~m} _ { 2 } } { \mathrm {~m} _ { 1 } + \mathrm { m } _ { 2 } } \mathrm {~g}$
• B. $\frac { m _ { 1 } + m _ { 2 } } { 4 m _ { 1 } m _ { 2 } } g$
• C. $\frac { \mathrm { m } _ { 1 } \mathrm {~m} _ { 2 } } { \mathrm {~m} _ { 1 } + \mathrm { m } _ { 2 } } \mathrm {~g}$
• D. $\frac { \mathrm { m } _ { 1 } - \mathrm { m } _ { 2 } } { \mathrm {~m} _ { 1 } + \mathrm { m } _ { 2 } } \mathrm {~g} ^ { 2 }$

Answer 1

Answer: (A)

$\frac { 4 \mathrm {~m} _ { 1 } \mathrm {~m} _ { 2 } } { \mathrm {~m} _ { 1 } + \mathrm { m } _ { 2 } } \mathrm {~g}$

Answer 2

T = $\frac { 2 \mathrm {~m} _ { 1 } \mathrm {~m} _ { 2 } } { \mathrm {~m} _ { 1 } + \mathrm { m } _ { 2 } }$ (g + a), a = g