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KCET2024PhysicsLaws of Motion

A block of certain mass is placed on a rough inclined plane. The angle between the plane and the horizontal is 30^ . The coefficients of static and kinetic frictions between the block and the inclined plane are 0.6 and 0.5 respectively. Then, the magnitude of the acceleration of the block is [Take .g=10 ~ms ⁻² ]

Options

  1. A2 ~ms ⁻²
  2. Bzero
  3. C0.196 ~ms ⁻²
  4. D0.67 ~ms ⁻²

Correct answer

B. zero

Step-by-step solution

From the diagram, frictional force f_s= R= m g 30^ =0.6 m g 3 2 =0.3 3 mg =0.5196 mg Magnitude of force pulling the block along the plane downward, F^ =m g 30^ =m g / 2=0.5 mg Since, f_s F^ Hence, block will not move. a=0

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