Free Vectors and Equilibrium MCQs with Answers
431 Vectors and Equilibrium MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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Read the Vectors and Equilibrium notesFree MDCAT chapter notes with key terms431 questions · page 9 of 22
- A. Linear momentum
- B. Angular momentum
- C. Force
- D. Electric flux
Explanation: Angular momentum is an example of the vector product of position and linear momentum
Correct answer: Angular momentum- A. (8i-6j+3k)
- B. (3i-6j+8k)
- C. (3i-6j+6k)
- D. (6i-8j+3k)
Explanation: To find the linear velocity, you need to take the cross product of the position vector (3i+4j) and the angular velocity (j+2k).
Correct answer: (8i-6j+3k)- A. Along the force F
- B. Along the moment arm r
- C. Parallel to the plane containing r and F
- D. Perpendicular to the plane containing r and F
Explanation: * Torque (τ) is the vector product (or cross product) of the moment arm (r) and the force (F), represented as τ = r × F.* The direction of…
Correct answer: Perpendicular to the plane containing r and F- A. A . B = B . A
- B. A x B = B x A
- C. A . B = -B . A
- D. A x B = -B x A
Explanation: The correct answer is A x B = -B x A. This reflects the non-commutative property of the vector product, meaning that reversing the order…
Correct answer: A x B = -B x A- A. Torque.
- B. Energy.
- C. Velocity.
- D. Workdone.
Explanation: The cross product of two vectors, such as force and moment arm, results in a vector known as torque.
Correct answer: Torque.- A. 1 > τ > 0
- B. τ < 0
- C. τ = 0
- D. τ = 1
Explanation: The torque (τ) is calculated by the formula τ = r × F, where r is the moment arm and F is the force applied.
Correct answer: τ = 0- A. 0o
- B. 90o
- C. 180o
- D. 270o
Explanation: The cross product of two vectors results in a vector that is perpendicular to the plane containing the two vectors.
Correct answer: 270o- A. Two scalar quantities
- B. Two vector quantities.
- C. One scalar and one numeric value.
- D. One scalar and one vector quantity.
Explanation: The correct answer is option B:two vector quantities.The cross product is a binary operation on two vectors in three-dimensional space…
Correct answer: Two vector quantities.- A. 50 units
- B. 75 units
- C. 125 units
- D. 155 units
- E. 200 units
Explanation: Work done = force×displacement Given data:F=8i+2j+6k N Now displacement, d=(14i+13j+9k) - (3i+2j-6k)d=(14-3)i+(13-2)j+(9-[-6])k…
Correct answer: 200 units- A. Unit vector
- B. Free vector
- C. Null vector
- D. Position vector
- E. Resultant vector
Explanation: A free vector is a vector that can be displaced parallel to itself.
Correct answer: Free vector- A. temperature
- B. Density
- C. Volume
- D. Force
- E. Speed
Explanation: Scalar quantities are those that only have magnitude, unlike vector quantities that have direction as well as magnitude.Temperature…
Correct answer: Force- A. 1/2
- B. 8/3
- C. 3/5
- D. 5/7
- E. 7/9
Explanation: The explanation is as follows:To find the projection of vector E onto the direction ofvector F, we can use the formula: Projection of E…
Correct answer: 8/3- A. 0
- B. 45
- C. 90
- D. 180
- E. 360
Explanation: The scalar product of k and i+j is zero since the scalar product of perpendicular vectors is always by rule zero.
Correct answer: 0- A. 10√3 N
- B. 20 N
- C. 20√3 N
- D. 10 N
- E. 37 N
Explanation: Take the resultant along the x-axis: R = (20, 0) N. The known force 20√3 N at 30° to R is (20√3·cos30°, 20√3·sin30°) = (30, 10√3) N.
Correct answer: 20 N- A. 0
- B. 1
- C. 2
- D. 3
Explanation: A vector in space has three dimensions x, y and z.
Correct answer: 3176. A body will be in translational equilibrium if the vector sum of all the forces acting on it is:
- A. 0
- B. Min
- C. Max
- D. Equal
Explanation: A body is said to be in equilibrium if all the sum of all forces acting on it become equal to zero.
Correct answer: 0- A. Equal to the product of magnitudes of
- B. In the plane parallel to
- C. Perpendicular to the plane containing
- D. Less in magnitude than the product of magnitudes of
Explanation: Product of two vectors is perpendicular to the plane containing the two vectors.
Correct answer: Perpendicular to the plane containing- A. Always positive
- B. Always negative
- C. Positive and negative
- D. Not enough info
Explanation: Instantaneous velocity is the velocity of an object at a specific instant in time.
Correct answer: Positive and negative- A. Towards the centre
- B. Along the linear velocity
- C. Away from the centre
- D. Perpendicular to both radius and linear velocity
Explanation: The direction of the angular velocity is along the axis of rotation. For an object rotating clockwise, the angular velocity points away…
Correct answer: Perpendicular to both radius and linear velocity- A. Car travels 20 km due east and car travels 70 km due east
- B. Car travels 40 km due east, then turns around and travels 20 km due west and a car that travels 20 km due east
- C. Car travels 70 km due east and a car that travels 40 km due east, then turns around and travels 20 km due west
- D. Car travels 30 km due west, then turns around and travels 30 km due east and a car that travels 40 km due east, then turns around and travels 20 km due west
Explanation: Average velocity = total displacement/total timeWe know that displacement is a vector quantity.
Correct answer: Car travels 40 km due east, then turns around and travels 20 km due west and a car that travels 20 km due east