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JEE Main 202225 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
25 June
Shift
Evening Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2022 · 25 June · Evening Shift · Physics · Laws of Motion

A block of mass 200g is kept stationary on a smooth inclined plane...

A block of mass 200g200g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F=xNF = \sqrt{x}N as shown in figure.

A block of mass 200g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = x N as

The value of x = _____.

Correct answer

0

Step-by-step solution

A block of mass 200g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = x N asA block of mass 200g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = x N as

Balancing the forces in horizontal direction Nsinθ=FNsin\theta = F

And balancing the forces in vertical direction Ncosθ=mgNcos\theta = mg

⇒tanθ=Fmg⇒ tan\theta = \dfrac{F}{mg}⇒F=mgtanθ⇒ F = mgtan\theta

F=0.2×10×3=12NF = 0 . 2 \times 10 \times \sqrt{3} = \sqrt{12}N. Therefore, x=12x = 12

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