A small body of mass m hangs at one end of a string of length a, the other end of which is fixed. It is given a horizontal velocity u at its lowest position so that the string would just becomes slack, when it makes an angle of 60° with the upward drawn vertical line. Find the tension in the string at point of projection.
Text Solution
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( 
mg)
Sol. When string become slack apply equation for centripetal force.
= mg cos 60º 
v = 
.....(i)
apply energy conservation
mu 2 = 
mv 2 + mga (1 + cos 
) ....(ii)
from equation (i) & (ii)
u = 
apply equation for centripetal force at lowest position.
T – mg = 
put the value of u and we get
T = 9mg/2
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