Question

A cylinder of mass is placed on two parallel rails inclined at an angle to the horizontal (side view shown in the figure). A load of unknown mass is suspended from a light inextensible cord wound on the cylinder. The cylinder is held initially at rest and then released. If the cylinder starts rolling up the rails without slipping, what should mass of the load be?  

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Solution

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On block
..........(1)

On cylinder

for pure rolling
 
                            

We so at
Cylinder is climbing up and string is moving down

                         


from at


From (1) and (2)







i.e



solution
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Solve any question of Laws of Motion with:-

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