A cylinder rests in a supporting carriag...

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 puplled towards left with an horizontal acceleration `a` . The magnitude of normal reactions exerted by side AB and BC of carriage on the cylinder be `N_(AB)` and `N_(BC)`resectively. Neglect friction everywhere. Then as the magnnitude of acceleration `a` of the carriage is increased, pick up the correct statement:

`N_(AB)` increases and `N_(BC)` decreases

Both `N_(AB)` and `N_(BC)` increase

`N_(AB)` remains constant and `N_(ac)` increases

`N_(AB)` increases and `N_(BC)` remains constant.

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