. A simple pendulum is released from A as shown in figure


If m and l represent the mass of the bob and the length of the pendulum respectively, the gain in kinetic energy at B is then

A: mgl2

B: mgl√(2)

C: √(3)2mgl

D: 2√(3)mgl

Best Answer

Explanation:

Let the length of the pendulum =l

So the vertical height of the pendulam  h=lcos30

The potential energy loss by the pendulam= kinetic energy of pendulum

Kinetic energy=Mgh

=Mglcos30

=√3/2Mgl

Final Answer:

The gain in kinetic energy of the pendulum is √3/2 Mgl.Hence option(C) is correct.

                                                        

 

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