First slide
Conservation of mechanical energy

A heavy particle is attached to one end of a string 1m long whose other end is fixed at O. It is projected from its lowest position horizontally with a velocity V:


mgl(1cosθ)=12mv212mu2    .......(i)Tmgcosθ=mv2l                      ........(ii)V2=gl(23cosθ)

 (a) θ=π,V2=5gl, hence true 

 (b) 3.5=23cosθ,cosθ=12

       A=120 hence true 

 (c) 2=23cosθ,cosθ=0,θπ2, hence true 

 (d) 1=23cosθ,cosθ=13,θ>60, hence true 

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