Question

A body of mass \(M\) is suspended from the lower end of an aeroplane accelerating horizontally. If the rope can withstand a maximum tension \(T\), then the maximum acceleration of the aeroplane is:

• A. \sqrt{\frac{T^2}{M^2}-g^2}
• B. \frac{T}{M}-g
• C. \frac{T}{M}+g
• D. \sqrt{\frac{T^2}{M^2}+g^2}

Hint:

For a body suspended in an accelerating frame: \[ T=M\sqrt{g^2+a^2}. \] This relation is frequently used in JEE problems.

Answer 1

The Correct Option is A