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A rocket is fired  vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration.  On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction µmin between the mass and the inclined surface such that the mass does not move is :
  • a)
    tanθ
  • b)
    2 tanθ
  • c)
    3 tanθ
  • d)
    tan2θ
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A rocket is fired vertically from the earth with an acceleration of 2g...
Θ with the vertical, there is a block of mass m. What is the normal force exerted by the inclined plane on the block?

Let's first consider the motion of the block in the rocket. Since the rocket is accelerating upwards with an acceleration of 2g, the block will also experience an apparent weight (or force due to apparent gravity) of 2mg upwards. This means that the normal force exerted by the inclined plane on the block must be greater than its weight (mg) by an amount equal to 2mg:

N > mg + 2mg
N > 3mg

Now let's consider the forces acting on the block along the inclined plane. There are two forces acting on the block: its weight (mg) acting downwards and a component of the normal force (Nsinθ) acting upwards along the inclined plane. The net force acting on the block along the inclined plane is given by:

Fnet = Nsinθ - mg

Since the block is not accelerating along the inclined plane (it is in equilibrium), the net force must be zero. Therefore:

Nsinθ - mg = 0
Nsinθ = mg

Finally, substituting this equation into the inequality we derived earlier, we get:

N > 3mg > mg/sinθ

Therefore, the normal force exerted by the inclined plane on the block must be greater than mg/sinθ.
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A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction µmin between the mass and the inclined surface such that the mass does not move is :a)tanθb)2 tanθc)3 tanθd)tan2θCorrect answer is option 'A'. Can you explain this answer?
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A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction µmin between the mass and the inclined surface such that the mass does not move is :a)tanθb)2 tanθc)3 tanθd)tan2θCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction µmin between the mass and the inclined surface such that the mass does not move is :a)tanθb)2 tanθc)3 tanθd)tan2θCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction µmin between the mass and the inclined surface such that the mass does not move is :a)tanθb)2 tanθc)3 tanθd)tan2θCorrect answer is option 'A'. Can you explain this answer?.
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