A cylinder rests in a supporting carriage as shown. The side AB of carriage makes an angle 30 
with the horizontal and side BC is vertical. The carriage lies on a fixed horizontal surface and is being pulled towards left with a horizontal acceleration 'a'. The magnitude of normal reactions exerted by sides AB and BC of carriage on the cylinder be N AB and N BC respectively. Neglect friction everywhere. Then as the magnitude of acceleration 'an' of the carriage is increased, pick up the correct statement:
Text Solution
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The free body diagram of cylinder is as shown.
Since net acceleration of cylinder is horizontal,
N AB cos30° = mg
or N AB = 
mg....
and N BC – N AB sin30° = ma
or N BC = ma + N AB sin 30°...
Hence N AB remains constant and N BC increases with increase in a.
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