Free Vectors and Equilibrium MCQs with Answers

• A. Have their direction opposite
• B. May have their resultant zero
• C. Cannot have their resultant zero
• D. None of the above

Explanation: The correct answer is (c) Cannot have their resultant zero. When two vectors have different magnitudes, their resultant will not be zero…

• A. Power, speed
• B. Work, potential energy
• C. Displacement, acceleration
• D. Force, kinetic energy

Explanation: Force is vector quantity and kinetic energy is scalar quantity.

• A. Has direction
• B. Has magnitude
• C. Follow rules of vector addition
• D. All of the above

Explanation: A vector is defined as a quantity that has both magnitude and direction.

• A. Product vector
• B. Sum vector
• C. Resultant vector
• D. Final vector

Explanation: When you add two or more vectors together, you're combining their effects to find a single vector that represents the overall effect or…

• A. 90°
• B. 60°
• C. 30°
• D. 120°

Explanation: If the resultant of two vectors, each of magnitude F, is also of magnitude F, it means that the vectors are acting in the same direction.

• A. 6N and 10N
• B. 8N and 8N
• C. 4N and 12N
• D. None of them

Explanation: Correct option is A)A+B=16...(1)Tanα = Bsinθ/A+Bcosθ = tan90Thus, A+Bcosθ = 0 ⇒cosθ = − A/B ...(2)We also have: 8= √A^2 +B^2 +2ABcosθ…

• A. 1.5 N
• B. 2.5 N
• C. 4.5 N
• D. 6.5 N

Explanation: 1.5 N cannot be the resultant of their possible sum because neither the subtraction, nor the addition of both values gives 1.5.

• A. 30˚
• B. 45˚
• C. 55˚
• D. 65˚
• E. 120˚

Explanation: When two forces of equal magnitude act at an angle, the magnitude of their resultant can be found using the parallelogram law of vector…

• A. 70N
• B. 10N
• C. 50N
• D. 40N

Explanation: Of course, with a triangle with a 90° angle, a right triangle, you can simply use.Pythagoras theorem (a2+b2=c2) then SOH-CAH-TOA to solve…

• A. 0
• B. 2F
• C. 2/F
• D. F√2

Explanation: This option D suggests that the magnitude of the resultant vector is F√2.

• A. 90°
• B. 45°
• C. 180°
• D. 270°

Explanation: The problem involves finding the angle between two vectors with magnitudes 3 and 4, resulting in a magnitude of 5 for their resultant…

• A. Commutative law
• B. Associativo law
• C. Distributive law
• D. All of these

Explanation: The addition of vectors satisfies two important properties along with distributive law. Hence, all of the above options are true.

• A. 30°
• B. 0°
• C. 60°
• D. 45°

Explanation: For two vectors of the same magnitude to have a resultant that is twice the magnitude of either vector, they must be in the same…

• A. 0 degree
• B. 30 degree
• C. 90 degree
• D. 180 degree

Explanation: To solve this problem, use the properties of vector addition and subtraction.

• A. 30 N
• B. 10 N
• C. 35 N
• D. 15 N

Explanation: The resultant force of two vectors can range from the absolute difference to the absolute sum of their magnitudes, depending on their…

• A. 20°
• B. 60°
• C. 120°
• D. 45°

Explanation: If we know the magnitude of two forces and the angle between them, we can find the magnitude of the resultant force by applying the…

• A. 30°
• B. 45°
• C. 60°
• D. 120°

Explanation: It is given that two vectors are equal in magnitude i.e. if A and B are two vectors then ∣A∣=∣B∣.

• A. 0
• B. 1
• C. -1
• D. 1/2

Explanation: The cross product of two parallel vectors is always zero because the sine of the angle between them is zero.

• A. √0.64
• B. √0.66
• C. 1
• D. 0.2
• E. √0.11

Explanation: The magnitude of the given vector is:|0.8i + 0.5j + ck| = √(0.8² + 0.5² + c²)For the given vector to be a unit vector, its magnitude must…

• 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.