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Question

A solid cylinder rolling down on an inclined plane as shown in figure. Which of the following options correctly depicts the motion of cylinder on the inclined plane?


A
Cylinder is slipping forward
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B
Cylinder is slipping backward
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C
Cylinder is in pure rolling
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D
Friction is acting forward along plane
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Solution

The correct option is A Cylinder is slipping forward
We know for pure rolling,
vnet of point of contact (P) of cylinder and plane is zero.


vnet=0
vωR=0
v=ωR [ for pure rolling ]
Given, v=10 m/s..........(1)
ω=4 rad/s
Now, ωR=4×2=8 m/s..........(2)
Here, v>ωR [ from (1) and (2) ]
As translational motion of the cylinder is more than rotational motion. Therefore, cylinder is slipping forward.

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