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Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion

A uniform rod of length 4 m and mass 2 2 ~kg revolves with constant angular velocity about a vertical axis through a smooth joint A at one extremity of the rod so that it describes a cone of semi vertical angle 53^ as shown in the figure. Choose the correct statement(s). ( g =10 ~m / s ^2 )

Options

  1. AThe value of angular velocity is 2.5 rad / s
  2. BThe angle between hinge reaction at point A and vertical axis AC is 45^
  3. CThe magnitude of hinge reaction at point A is 40 N
  4. DThe angular momentum of the rod is constant.

Correct answer

C. The magnitude of hinge reaction at point A is 40 N

Step-by-step solution

F =2 ₀ l₁ 2 R I ₂ = 2 2 10⁻⁷ 50 20 0.50 0.25 =8 10⁻⁴ ~N

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