A rope 1 cm in diameter breaks, if the tension in it exceeds 500 N. The maximum tension that may be given to similar rope of diameter 3 cm is

Question

A rope 1 cm in diameter breaks, if the tension in it exceeds 500 N. The maximum tension that may be given to similar rope of diameter 3 cm is

A rope 1 cm in diameter breaks, if the tension in it exceeds 500 N. The maximum tension that may be given to similar rope of diameter 3 cm is
A. 500 N
B. 3000 N
C. 4500 N
D. 2000 N

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - c
Breaking stress for both ropes would be same.
`(T_("max"_(1)))/(pi xx ((1)/(2))^(2)) = (T_("max"_(2)))/(pi((3)/(2))^(2))`
`implies T_("max"_(2)) = 9 xx T_("max"_(1)) = 4500 N`

4 views Answered 2023-02-05 15:29