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Sanchit Gupta Grade: 12
        

As shown in the figure, a smooth rod is mounted just above a table top. A 10 kg collar, which is able to slide on the rod with negligible friction is fastened to a spring whose other end is attatched to a pivot at O. The spring has negligible mass, a relaxed length of 10 cm and a spring constant of 500 N/m. The collar is released frm rest at point A. Here, in the figure, BC = 20 cm, AB = 40 cm, and B0 = 30 cm.


What is it's velocity as it passes point B and C.???

7 years ago

Answers : (2)

Sanchit Gupta
8 Points
										

Here is the diagram


5080-170_7690_mech5.JPG

7 years ago
Badiuddin askIITians.ismu Expert
147 Points
										

Dear Sanchit


Calculate the length AO =50 CM


spring natural lenghth is given 10 cm


so springh is stretched by 50-10 = 40 cm


Total energy at point A=(1/2)*500*(.40)2


                                =40 Nm


At point B Spring Stretched by =30-10 =20 cm


 Total energy at point B=(1/2)*500*(.20)2+(1/2)*10*v2


                                 =10 +5v2  


 


At point C Spring Stretched by =26 cm


Total energy at point C=(1/2)*500*(.26)2+(1/2)*10*v2


Now first equate energy at A and B and find the velocity at B


Similarly equate energy at A and c and find the velocity at c





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Regards,
Askiitians Experts
Badiuddin


 

7 years ago
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