Question
A body of mass m is tied with string and is rotated in a vertical circle of radius r. If the body is given an initial velocity of u at the lowest point, then what will be the velocity when string subtends an angle of θ with the vertical?
Solution
Let v be the velocity of body when string subtends an angle θ with vertical.
Height upto which the body rises, h= LM.
'
From
∴
Now according to the law of conservation of energy,
∴![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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So, v is the velocity when the string subtends an angle of θ with the vertical.
Height upto which the body rises, h= LM.
'From
∴
Now according to the law of conservation of energy,
∴
So, v is the velocity when the string subtends an angle of θ with the vertical.
