In Fig., a body A of mass m slides on a plane inclined at angle θ 1 to the horizontal and μ is the coefficient of friction between A and the plane. A is connected by a light string passing over a fr

Question

In Fig., a body A of mass m slides on a plane inclined at angle $θ_{1}$ to the horizontal and $μ$ 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 angle $θ_{2}$ to the horizontal. Which of the following statement(s) is (are) true?

TestHub · Accepted Answer

A just starts moving up when m g sin θ 2 ​ = m g sin θ 1 ​ + μ m g cos θ 1 ​ , giving μ = c o s θ 1 ​ s i n θ 2 ​ − s i n θ 1 ​ ​ . (B) true. This requires sin θ 2 ​ > sin θ 1 ​ ⇒ θ 2 ​ > θ 1 ​ . (C) true. A can move up once this holds, so (A) false; B accelerates, so (D) false. Hence (B, C).

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Options:(select one or more)

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