Vedant has a ball of mass m attached to a massless string (a yo-yo). The maximum tension the string can handle before breaking is T. (a) He is holding one end of the string at a heighth above the ground, what is the maximum length the string can have so that he can still swing the ball in circles around him without the ball touching the ground or the string breaking? (b) If he swings it around in circles slightly too hard and the string breaks, for what length of the string will the ball fly the longest horizontal distance before hitting the ground? Also, find that maximum distance.
Vedant has a ball of mass m attached to a massless string (a yo-yo). The maximum tension the string can handle before breaking is T. (a) He is holding one end of the string at a heighth above the ground, what is the maximum length the string can have so that he can still swing the ball in circles around him without the ball touching the ground or the string breaking? (b) If he swings it around in circles slightly too hard and the string breaks, for what length of the string will the ball fly the longest horizontal distance before hitting the ground? Also, find that maximum distance.
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H4.
Transcribed Image Text:Vedant has a ball of mass m attached to a massless string (a yo-yo). The maximum
tension the string can handle before breaking is T.
(a) He is holding one end of the string at a heighth above the ground, what is the
maximum length the string can have so that he can still swing the ball in circles
around him without the ball touching the ground or the string breaking?
(b) If he swings it around in circles slightly too hard and the string breaks, for what
length of the string will the ball fly the longest horizontal distance before hitting the
ground? Also, find that maximum distance.
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