ans c:

40. A wedge of mass M fitted with a spring of stiffness k' is kept a smooth horizontal surface. A rod of mass m is kept on the wedge as shown in the figure. System is in equilibrium and at rest Assuming  that all surfaces are smooth, the potential energy stored in the spring is : 


A   mg 2 tan 2 θ 2 K             B   m 2   g   tan 2 θ 2 K               C   m 2   g 2   tan 2 θ 2 K                   D   m 2   g 2   tan 2 θ K

 

Dear Student,


let the normal rxn between the wedge and the rod be NNcosθ=mgNsinθ=kxtanθ=kxmgx=mgtanθkenergy stored in the spring E=kx22=m2g2tan2θ2koption C Regards

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