A cylinder rests in a supporting carriage as shown. The side \( A B \) of carriage makes an angl...

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A cylinder rests in a supporting carriage as shown. The side \( A B \) of carriage makes an angle \( 30^{\circ} \) with the horizontal and side \( B C \) is vertical. The carriage lies on a fixed horizontal surface and is being pulled towards left with an horizontal acceleration \( a \) . The magnitude of normal reactions exerted by sides \( A B \) and \( B C \) of carriage on the cylinder be \( N_{A B} \) and \( N_{B C} \) respectively. Neglect friction everywhere. Then as the magnitude of acceleration \( a \) of the carriage is increased, pick up the correct statement:
(a) \( N_{A B} \) increases and \( N_{B C} \) decreases.
(b) Both \( N_{A B} \) and \( N_{B C} \) increase.
(c) \( N_{A B} \) remains constant and \( N_{B C} \) increases.
(d) \( N_{A B} \) increases and \( N_{B C} \) remains constant.
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