Mass `m_(1)` moves on a slope making an angle `theta` with the horizontal and is attached to mass `m_(2)` by a string passing over a frictionless pulley as shown in The co-efficient of friction between `m_(1)` and the slopping surface is `mu` Which of the following statements are true ? .

Options

A. If `m_(2) gt m_(1) sin theta ` , the body will move up the plane .
B. If `m_(2) gt m_(1) (sin theta + mu cos theta )` , the body will move up the plane .
C. If `m_(2) lt m_(1) ( sin theta + mu cos theta) `, the body will move up the plane .
D. If `m_(2)lt m_(1) ( sin theta - mu cos theta )` , the body will move down the plane .

Answer

B, D