Two blocks are in contect moving on an inclined plane of inclination `alpha` with the horizontal. The masses of the blocks are equal to `m_(1)` and `m_(2)` and the coefficients of friction between the inclined plane and the blocks are equal to `mu_(1)` and `mu_(2) (mu_(1) gt mu_(2))` respectively. Find (a) common acceleration of the blocks and (b) the contact force between the blocks.

Options

A. If `mu_(1)gt mu_(2)`, the blocks will always remain in contact.
B. If `mu_(1)lt mu_(2)`, the blocks will slide down with different accelerations.
C. If `mu_(1)gt mu_(2)`, the blocks will have a common acceleration `(1)/(2)(mu_(1)_mu_(2))g sin theta`.
D. If `mu_(1)lt mu_(2)`, the blocks will have a common acceleration `(mu_(1)mu_(2)g)/(mu_(1)+mu_(2))sin theta`.

Answer

A, B