A 3-4-5 inclined plane is fixed to a rotating turntable. A block rests on the inclined plane and the coefficient of static friction between the inclined plane and the block is μ s = 4 1 . The bloc

Question

A 3-4-5 inclined plane is fixed to a rotating turntable. A block rests on the inclined plane and the coefficient of static friction between the inclined plane and the block is $μ_{s} = \frac{1}{4}$ . The block is to remain at a position 40 cm from the axis of rotation of the turntable (figure). Find the minimum angular velocity $ω ($ in rad $/ sec)$ to keep the block from sliding down the plane (toward the center) (Round off the to the nearest integer).

(Take g = 10 m/s² )

TestHub · Accepted Answer

​ N cos θ + μ N sin θ = mg , N sin θ − μ N cos θ = m ω 2 R g ω 2 R ​ = 1 + μ tan θ tan θ − μ ​ ​ ​ θ = R g ​ ( 1 + μ tan θ tan θ − μ ​ ) ​ ≈ 3.2 rad / sec .

Physics - Rotation Question with Solution | TestHub

Doubts & Discussion