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A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:
- a)Rcosine (α) and Rsine(α)
- b)Rcosine (180-α) and Rsine(α)
- c)Rcosine (180-α) and Rsine(180+α)
- d)Rcosine (α) and Rsine(180+α)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A force vector with magnitude R and making an angle α with the x...
The component along x-axis is the cosine component of the vector. And the y-axis component of the vector is sine component, if the angle is being made with the x-axis. And 180- α for some of the trigonometric function may change their sign.
Most Upvoted Answer
A force vector with magnitude R and making an angle α with the x...
With the positive x-axis can be resolved into its horizontal and vertical components as follows:
Horizontal component = R cos(θ)
Vertical component = R sin(θ)
where θ is the angle the vector makes with the positive x-axis.
These components can be used to calculate various properties of the force vector, such as its net force and direction. For example, if two force vectors are acting on an object and their horizontal and vertical components cancel out, then the net force acting on the object would be zero. If the horizontal and vertical components of the force vector are known, the direction of the force vector can be determined using inverse tangent function:
θ = tan^-1(vertical component/horizontal component)
This equation gives the angle the force vector makes with the positive x-axis.
Horizontal component = R cos(θ)
Vertical component = R sin(θ)
where θ is the angle the vector makes with the positive x-axis.
These components can be used to calculate various properties of the force vector, such as its net force and direction. For example, if two force vectors are acting on an object and their horizontal and vertical components cancel out, then the net force acting on the object would be zero. If the horizontal and vertical components of the force vector are known, the direction of the force vector can be determined using inverse tangent function:
θ = tan^-1(vertical component/horizontal component)
This equation gives the angle the force vector makes with the positive x-axis.
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A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:a)Rcosine (α) and Rsine(α)b)Rcosine (180-α) and Rsine(α)c)Rcosine (180-α) and Rsine(180+α)d)Rcosine (α) and Rsine(180+α)Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:a)Rcosine (α) and Rsine(α)b)Rcosine (180-α) and Rsine(α)c)Rcosine (180-α) and Rsine(180+α)d)Rcosine (α) and Rsine(180+α)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:a)Rcosine (α) and Rsine(α)b)Rcosine (180-α) and Rsine(α)c)Rcosine (180-α) and Rsine(180+α)d)Rcosine (α) and Rsine(180+α)Correct answer is option 'A'. Can you explain this answer?.
A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:a)Rcosine (α) and Rsine(α)b)Rcosine (180-α) and Rsine(α)c)Rcosine (180-α) and Rsine(180+α)d)Rcosine (α) and Rsine(180+α)Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:a)Rcosine (α) and Rsine(α)b)Rcosine (180-α) and Rsine(α)c)Rcosine (180-α) and Rsine(180+α)d)Rcosine (α) and Rsine(180+α)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:a)Rcosine (α) and Rsine(α)b)Rcosine (180-α) and Rsine(α)c)Rcosine (180-α) and Rsine(180+α)d)Rcosine (α) and Rsine(180+α)Correct answer is option 'A'. Can you explain this answer?.
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