Question

In Fig. 5.3, a body A of mass m slides on plane inclined at angle θ₁ to the horizontal and μ₁ is the coefficent 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 θ₂ to the horizontal. Which of the following statements are true?

(a) A will never move up the plane.

(b) A will just start moving up the plane when

μ = (sin θ₂ - sin θ₂)/cosθ₁ .

(c) For A to move up the plane, θ₂ must always be greater than θ₁ .

(d) B will always slide down with constant speed.

Answer 1

(b) A will just start moving up the plane when

μ = (sin θ₂ - sin θ₂)/cosθ₁ .

(c) For A to move up the plane, θ₂ must always be greater than θ₁ .