Question

2072 Set D Q.No. 9 A stone with mass 0.8 kg is attached to
one end of a string 0.9 m long. The string will break if its
tension exceeds 600 N. The stone is whirled in a horizontal
circle, the other end of the string remains fixed. Find the
maximum speed, the stone can attain without breaking the
string.
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Answer 1

ʟɪғᴇ ɪs ʙᴇᴀᴜᴛɪғᴜʟ ʙᴜᴛ ɴᴏᴛ ᴀʟᴡᴀʏs ᴇᴀsʏ, ɪᴛ ʜᴀs ᴘʀᴏʙʟᴇᴍs, ᴛᴏᴏ, ᴀɴᴅ ᴛʜᴇ ᴄʜᴀʟʟᴇɴɢᴇ ʟɪᴇs ɪɴ ғᴀᴄɪɴɢ ᴛʜᴇᴍ ᴡɪᴛʜ ᴄᴏᴜʀᴀɢᴇ, ʟᴇᴛᴛɪɴɢ ᴛʜᴇ ʙᴇᴀᴜᴛʏ ᴏғ ʟɪғᴇ ᴀᴄᴛ ʟɪᴋᴇ ᴀ ʙᴀʟᴍ, ᴡʜɪᴄʜ ᴍᴀᴋᴇs ᴛʜᴇ ᴘᴀɪɴ ʙᴇᴀʀᴀʙʟᴇ, ᴅᴜʀɪɴɢ ᴛʀʏɪɴɢ ᴛɪᴍᴇs, ʙʏ ᴘʀᴏᴠɪᴅɪɴɢ ʜᴏᴘᴇ

ʜᴀᴘᴘɪɴᴇss, sᴏʀʀᴏᴡ, ᴠɪᴄᴛᴏʀʏ, ᴅᴇғᴇᴀᴛ, ᴅᴀʏ-ɴɪɢʜᴛ ᴀʀᴇ ᴛʜᴇ ᴛᴡᴏ sɪᴅᴇs ᴏғ ᴛʜᴇ ᴍᴇ ᴄᴏɪɴ. sɪᴍɪʟᴀʀʟʏ ʟɪғᴇ ɪs ғᴜʟʟ ᴏғ ᴍᴏᴍᴇɴᴛs ᴏғ ᴊᴏʏ, ᴘʟᴇᴀsᴜʀᴇ, sᴜᴄᴄᴇss ᴀɴᴅ ᴄᴏᴍғᴏʀᴛ ᴘᴜɴᴄᴛᴜᴀᴛᴇᴅ ʙʏ ᴍɪsᴇʀʏ, ᴅᴇғᴇᴀᴛ, ғᴀɪʟᴜʀᴇs ᴀɴᴅ ᴘʀᴏʙʟᴇᴍs. ᴛʜᴇʀᴇ ɪs ɴᴏ ʜᴜᴍᴀɴ ʙᴇɪɴɢ ᴏɴ ᴇᴀʀᴛʜ, sᴛʀᴏɴɢ, ᴘᴏᴡᴇʀғᴜʟ, ᴡɪsᴇ ᴏʀ ʀɪᴄʜ, ᴡʜᴏ ʜᴀs ɴᴏᴛ ᴇxᴘᴇʀɪᴇɴᴄᴇᴅ, sᴛʀᴜɢɢʟᴇ, sᴜғғᴇʀɪɴɢ

Answer 2

Answer:

v<26m/s

Explanation:

Mass = 0.8 kg

Radius = 0.9 m

As we know, the centripetal force acting on a body attached to a string is due to the Tension

Thus,

$\frac{mv^2}{r} <600\\\\i.e., \frac{0.8(v^2)}{0.9} <600\\i.e., v^2<675\\Thus, v< 25.98 m/s\\Hence, v< 26 m/s$

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