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QJEEM19Phc09c: JEE Main 2019 Physics - Class 11 JEEM19Phc09c Solution: A block of mass 10 kg is kept on a rough inclined plane as…

A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P, such that the block does not move downward? (take g = 10 ms−2)

JEE Main 2019 (Online) 9th January Morning Slot Physics - Laws of Motion Question 105 English

Multiple Choice Options

  • A 32 N
  • B 18 N
  • C 23 N
  • D 25 N

Step-by-Step Verified Solution

JEE Main 2019 (Online) 9th January Morning Slot Physics - Laws of Motion Question 105 English Explanation
At equilibrium,

      N = mgcos45o    . . . . . . (1)

3 + mgsin45o = P + μN

⇒   3 + mg2 = P + 0.6 (mg2)

⇒   3 + 1002 = P + 0.6 × 1002

⇒    P = 3 + 402

⇒   P = 3 + 20 2

⇒   P = 31.28 ≃ 32 N

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