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Pulling force making an angle θ to the horizontal is applied on a block of weight W placed on a horizontal table. If the angle of friction is α. then the magnitude of force required to move the body is equal to
  • a)
    W sin α/g tan (θ-α)
  • b)
    W cos α/cos(θ-α)
  • c)
    W sin α/cos(θ-α)
  • d)
    W tan α/sin(θ-α)
Correct answer is option 'C'. Can you explain this answer?
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Solution:

Given,
Weight of the block, W
Angle of friction, α
Angle of pulling force with horizontal, θ

To find,
Magnitude of force required to move the block

1. Free body diagram

Draw the free body diagram of the block with all the forces acting on it.

The weight of the block acts vertically downwards.
The normal reaction force acts perpendicular to the table surface.
The pulling force acts at an angle θ to the horizontal.
The friction force acts opposing the motion of the block.

2. Equations of motion

Resolve all the forces in the horizontal and vertical directions.

In the vertical direction,
N - W = 0

In the horizontal direction,
F cos θ - f = 0

where,
N = Normal reaction force
f = Friction force

3. Friction force

The friction force can be calculated using the equation,
f = μN

where,
μ = coefficient of friction
N = Normal reaction force

Here,
μ = tan α

Substituting the value of N,
f = tan α * W

4. Force required to move the block

The force required to move the block can be calculated using the equation,
F = f / sin (θ - α)

Substituting the value of f,
F = (tan α * W) / sin (θ - α)

Simplifying,
F = W sin α / cos (θ - α)

Hence, option C is the correct answer.
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Pulling force making an angle θ to the horizontal is applied on a block of weight W placed on a horizontal table. If the angle of friction is α. then the magnitude of force required to move the body is equal toa)W sin α/g tan (θ-α)b)W cos α/cos(θ-α)c)W sin α/cos(θ-α)d)W tan α/sin(θ-α)Correct answer is option 'C'. Can you explain this answer?
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Pulling force making an angle θ to the horizontal is applied on a block of weight W placed on a horizontal table. If the angle of friction is α. then the magnitude of force required to move the body is equal toa)W sin α/g tan (θ-α)b)W cos α/cos(θ-α)c)W sin α/cos(θ-α)d)W tan α/sin(θ-α)Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Pulling force making an angle θ to the horizontal is applied on a block of weight W placed on a horizontal table. If the angle of friction is α. then the magnitude of force required to move the body is equal toa)W sin α/g tan (θ-α)b)W cos α/cos(θ-α)c)W sin α/cos(θ-α)d)W tan α/sin(θ-α)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pulling force making an angle θ to the horizontal is applied on a block of weight W placed on a horizontal table. If the angle of friction is α. then the magnitude of force required to move the body is equal toa)W sin α/g tan (θ-α)b)W cos α/cos(θ-α)c)W sin α/cos(θ-α)d)W tan α/sin(θ-α)Correct answer is option 'C'. Can you explain this answer?.
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