A mass m is attached to a thin wire

Asked by admin @ 12/08/2021 in Geography viewed by 261 People

A mass m is attached to a thin wire and whirled

in a vertical circle. The wire is most likely to breakwhen :(1) the wire is horizontalthe mass is at the lowest pointinclined at an angle of 60° from verticalthe mass is at the highest pointhacinhon

Answered by admin @ 12/08/2021

answer : The mass is at the lowest point

explanation : you should remember that wire is most likely to break only when tension acting on wire will be maximum.

as you know, tension acting on the wire at the lowest point will be maximum.

mathematically you can derive it.

wire is at the lowest point,

T - mg = mv²/r => T = mg +mv²/r

wire is at highest point,

T + mg = mv²/r => T = mv²/r - mg

wire is horizontal,

T = mv²/r

wire inclined at an angle 60° from vertical line,

T - mgcos60° = mv²/r => T = mgcos60° + mv²/r

you can see, only at lowest point, wire is most likely to break .

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