Vectors and Equilibrium Form
Vectors and Equilibrium Form
Which of the following is a vector quantity?
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Displacement
Speed
Distance
Mass
If vector A = 3i + 4j, what is the magnitude of A?
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Which condition must be satisfied for a body to be in equilibrium?
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Net force is zero
Net torque is zero
Both net force and net torque are zero
Only net force is non-zero
The resultant of two vectors of equal magnitude at 90° angle is:
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Equal to the sum of magnitudes
Equal to the difference of magnitudes
√2 times the magnitude of one vector
Zero
Calculate the dot product of vectors A = 2i + 3j and B = 4i - j.
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Which of the following best describes a couple in mechanics?
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Two equal and opposite forces acting along the same line
Two equal and opposite forces acting along different lines
Two forces acting at right angles
A single force causing rotation
Indicate your confidence in solving equilibrium problems.
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Not confident
1
2
3
4
Very confident
5
1 is Not confident, 5 is Very confident
For a body to be in static equilibrium, what should be the sum of all external forces?
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Zero
Maximum
Minimum
Infinite
Match each vector operation with its result type.
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Rows
Result Type
Dot product
Scalar
Vector
Cross product
Scalar
Vector
A force of 10 N acts at an angle of 30° to the horizontal. What is the horizontal component of the force? (Give your answer to two decimal places)
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