A stone of mass 2 kg is tied at one end of a string of length 2 m and is whirled in a horizontal circle. If the string can withstand a maximum tension of 64 N, then the permissible maximum number of…

Question

A stone of mass 2 kg is tied at one end of a string of length 2 m and is whirled in a horizontal circle. If the string can withstand a maximum tension of 64 N, then the permissible maximum number of rotations per minute is

Accepted Answer

Correct answer: D. (d) Mass of stone, m=2 kg Length of the string = radius, r=2 m Maximum tension, T_ max=64 N T_ max= mv_ max^2r or ,64= 2 v_ max^22v_ max=8 m/sv_ max=r _ max8=2 2 ff= 2 60= 120 Hence, the permissible maximum number of rotations per minute is 120 .

$A stone of mass 2 kg is tied at one end of a string of length 2 m and is whirled in a horizontal circle. If the string can withstand a maximum tension of 64 N, then the permissible maximum number of rotations per minute is$

Solution

More Newton's Laws of Motion PYQs