A massless rod hinged at one end free to rotate in vetical plane has a bob of mass m attached to it. Bob is given a velocity v_(0) at the bottom most point. Choose the correct curves from the below options (v_(0)=sqrt(5gL))

A massless rod hinged at one end free to rotate in vetical plane has a

1.	A massless rod hinged at one end free to rotate in vetical plane has a bob of mass m attached to it. Bob is given a velocity v_(0) at the bottom most point. Choose the correct curves from the below options (v_(0)=sqrt(5gL))
Answer» Solution :`1/2 mv_(0)^(2)=(5mgL)/2=K+MGL(1-costheta)` `impliesK=2mgL"COS"^(2) (THETA)/2+(mgL)/2` `T=6mg"cos"^(2)(theta)/2` `a_(F)=g+4g"cos"^(2)(theta)/2` `a_(t)=gsin theta =g sqrt(1-cos^(2)theta)` `impliesa_(t)^(2)=g^(2)-g^(2)cos^(2)theta`

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A massless rod hinged at one end free to rotate in vetical plane has a bob of mass m attached to it. Bob is given a velocity v_(0) at the bottom most point. Choose the correct curves from the below options (v_(0)=sqrt(5gL))

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