In the given figure below, a body \( A \) of mass \( m \) slides on plane inclined at angle \( \...
In the given figure below, a body \( A \) of mass \( m \) slides on plane inclined at angle \( \theta_{1} \) to the horizontal and \( \mu \) is the coefficient of friction between \( A \) and the plane. \( A \) is connected by a light string passing over a frictionless pulley to another body \( B \), also of mass \( m \), sliding on a frictionless plane inclined at an angle \( \theta_{2} \) to the horizontal. Which of the following statement(s) is/are correct?
(a) \( A \) will never move up the plane.
(b) \( A \) will just start moving up the plane, when
\[
\mu=\frac{\sin \theta_{2}+\sin \theta_{1}}{\cos \theta_{1}}
\]
(c) For \( A \) to move up the plane, \( \theta_{2} \) must always be greater than \( \theta_{1} \).
(d) \( B \) will always slide down with constant speed.
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