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Q.

A body is supported on a rough plane inclined at 30° to the horizontal by a string attached to the body and held at an angle of 30° to the plane. Which of the following will represent a perfect diagram showing the forces acting on the body and resolve each of these forces parallel and perpendicular to the plane.

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a

None of the above

b

All of the above

c

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d

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answer is B.

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Detailed Solution

 The forces are   

The tension in the string T

The normal reaction with the plane N

The weight of the body w and the friction f

 

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Resolving parallel and perpendicular to the plane in the senses OX' and OY'as shown, the components are :

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components

force Force Parallel to OX' Parallel to OY' (perpendicular to plane)
F-f0
N0N
TTcos30°Tsin30°
W-wsin30°-wcos30°
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