Question

A cord can bear a maximum force of 100 N without breaking. A body of mass 1 kg tied to one end of a cord of length 1 m is revolved in a horizontal plane. What is the maximum linear speed of the body so that the cord does not break

• A. 10 m/s
• B. 20 m/s
• C. 25 m/s
• D. 30 m/s

Answer 1

Answer: (A)

10 m/s

Answer 2

Tension in cord appears due to centrifugal force $T = \frac{mv^{2}}{r}$and for critical condition this tension will be equal to breaking force (100 N)

$\therefore\frac{mv_{\max}^{2}}{r}$ ⇒ $v_{\max}^{2\frac{100 \times 1}{1}}$ ⇒ $v_{\max}$