# A solid cylinder with  m and mass kg is placed such that it is in contact with the vertical and a horizontal surface as shown in Figure. The coefficient of static friction is 1/3) for both the surfaces. Find the distance  (in CM) from the centre of the cylinder at which a force  should be applied vertically so that the cylinder just starts rotating in anticlockwise direction

## Question ID - 101422 :- A solid cylinder with  m and mass kg is placed such that it is in contact with the vertical and a horizontal surface as shown in Figure. The coefficient of static friction is 1/3) for both the surfaces. Find the distance  (in CM) from the centre of the cylinder at which a force  should be applied vertically so that the cylinder just starts rotating in anticlockwise direction

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Answer Key : (6) -

(6)

For equilibrium of the cylinder in the horizontal direction

(i)

In the vertical direction,

(ii)

Solving these two equation with N,  kg and =1/3, we get

and

Now,

m

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