Free Rectangular Components MCQs with Answers
26 Rectangular Components MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
A vector is resolved into perpendicular horizontal and vertical components using trigonometric relations, usually as Ax = A cos θ and Ay = A sin θ when θ is measured from the horizontal. Questions involve signs in different quadrants, reconstructing a resultant from components, and using components to analyse equilibrium.
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- A. 10 N
- B. 20 N
- C. 17.3 N
- D. 11.5 N
Explanation: The horizontal component is 20 cos 30, and cos 30 is 0.866, so the component is 17.3 N.
Correct answer: 17.3 N- A. 30 degrees
- B. 45 degrees
- C. 60 degrees
- D. 90 degrees
Explanation: The angle is given by the inverse tangent of the ratio of the y component to the x component, and when the two are equal that ratio is 1…
Correct answer: 45 degrees- A. magnitude one and specifies direction only
- B. zero magnitude
- C. magnitude equal to the vector it came from
- D. no direction
Explanation: Dividing any vector by its own magnitude gives a unit vector along the same line, which carries the direction information with the size…
Correct answer: magnitude one and specifies direction only- A. 7
- B. 5
- C. 12
- D. 25
Explanation: The magnitude is the square root of the sum of the squares of the components, so the square root of (9 plus 16), which is the square root…
Correct answer: 5- A. 2nd
- B. 4th
- C. 3rd
- D. 1st
Explanation: A negative Ax component points left and a positive Ay component points upward, placing the resultant in the second quadrant.
Correct answer: 2nd6. If a vector Ā is making an angle "∅" with positive y-axis then which of the following is correct.?
- A. Ax= ACos∅
- B. Ay= ASin∅
- C. Ay= ACos∅
- D. None
Explanation: When a vector of magnitude A makes an angle φ with the positive y-axis, its y-component is adjacent to the angle, so Ay = A cosφ.
Correct answer: Ay= ACos∅- A. Zero
- B. 30°
- C. 45°
- D. 90°
Explanation: Rectangular components are components along two mutually perpendicular axes.
Correct answer: 90°- A. 30°
- B. 45°
- C. 60°
- D. 90°
Explanation: For A = 2i + 2j, the x- and y-components are both 2, so tanθ = Ay/Ax = 2/2 = 1. Therefore θ = 45° with the positive x-axis.
Correct answer: 45°- A. -2
- B. 2
- C. 4
- D. Both A & B
Explanation: The magnitude is |A| = √(2² + 1² + a²) = √(5 + a²). Setting this equal to 3 gives 5 + a² = 9, so a² = 4 and a = ±2.
Correct answer: Both A & B- A. Zero
- B. Two
- C. Three
- D. Infinite
Explanation: In three-dimensional space, a vector can be resolved into components along the x-, y- and z-axes.
Correct answer: Three- A. Zero
- B. Two
- C. Three
- D. Infinite
Explanation: A vector in a plane can be resolved into two perpendicular components, usually along the x- and y-axes.
Correct answer: Two- A. 1st
- B. 2nd
- C. Both 1st and 3rd
- D. 4th
Explanation: The x and y components have the same sign in the first quadrant, where both are positive, and in the third quadrant, where both are…
Correct answer: Both 1st and 3rd- A. First
- B. Second
- C. Third
- D. Both 1st and 3rd
Explanation: Tangent is positive when sine and cosine have the same sign. This occurs in the first quadrant, where both are positive, and the third…
Correct answer: Both 1st and 3rd- A. 2i^ - 2j^ + k^
- B. (2i^ - 2j^ +k^)/9
- C. (2i^ - 2j^ +k^)/3
- D. (2i^ - 2j^ +k^)/5
Explanation: The magnitude of A = 2i - 2j + k is sqrt((2)² + (-2)² + (1)²) = sqrt9 = 3.
Correct answer: (2i^ - 2j^ +k^)/3- A. Vector
- B. Position Vector
- C. Vector in the direction at angle θ with an x-axis
- D. The unit vector in the direction at angle θ with an x-axis
Explanation: The magnitude of cosθ i + sinθ j is sqrt(cos²θ + sin²θ) = sqrt1 = 1, so it is a unit vector.
Correct answer: The unit vector in the direction at angle θ with an x-axis- A. 1
- B. 2
- C. 3
- D. 4
Explanation: In three-dimensional Cartesian space, a vector may have three mutually perpendicular rectangular components along the x-, y- and z-axes.
Correct answer: 3- A. Polar coordinate system
- B. Cartesian coordinate system
- C. Cylindrical coordinate system
- D. Spherical coordinate system
Explanation: The rectangular coordinate system uses mutually perpendicular axes and is called the Cartesian coordinate system, after René Descartes.
Correct answer: Cartesian coordinate system- A. Fx = 3√3 Fy = 4
- B. Fx = 4√3 Fy = 8
- C. Fx = 4√3 Fy = 4
- D. Fx = 8 Fy = 4√3
Explanation: Explanation: Fx = Fcosθ = 8cos(30°) = 4 (2) (√3/2./2) = 4√3 Fy = Fsinθ = 8sin(30) = 8 (½) = 4So, Fx = 4√3 and Fy = 4.
Correct answer: Fx = 4√3 Fy = 4- A. 10N
- B. 1.366N
- C. 13.66N
- D. 136.6N
Explanation: To find the x-component of the resultant force when two forces of 10N magnitude are inclined at 30° and 60° with the x-axis, we need to…
Correct answer: 13.66N- A. 0
- B. 1/√2 (i - j)
- C. 1/√2 (i + j)
- D. (i - j)/2
Explanation: Let A= (i + j) and B=(i - j). The unit vector of A = i + j / |(i + j)||(i + j)|= √12+12=2 so, the unit vector of (i + j) = i + j /√2 =…
Correct answer: 0Rectangular Components MCQs: common questions
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There are 26 Rectangular Components MCQs in the Physics bank, shown 20 to a page with the correct answer and an explanation on each.
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