Vectors and Equilibrium
The unit of torque in the SI system is:
A) Joule
B) Newton
C) Watt
D) Newton-meter
The first condition of equilibrium states that:
A) The sum of all forces is zero
B) The sum of all torques is zero
C) The object is at rest
D) The object is moving at constant velocity
The second condition of equilibrium states that:
A) The sum of all forces is zero
B) The sum of all torques is zero
C) The object is at rest
D) The object is moving with acceleration
A body is in complete equilibrium if it satisfies:
A) The first condition only
B) The second condition only
C) Both first and second conditions
D) None of these
The cross product $\hat{i} \times \hat{j}$ is equal to:
A) 0
B) 1
C) $\hat{k}$
D) $-\hat{k}$
The scalar product of two vectors is commutative, meaning:
A) $\vec{A} \cdot \vec{B} = -\vec{B} \cdot \vec{A}$
B) $\vec{A} \cdot \vec{B} = \vec{B} \cdot \vec{A}$
C) $\vec{A} \times \vec{B} = \vec{B} \times \vec{A}$
D) $\vec{A} + \vec{B} = \vec{B} + \vec{A}$
The vector product of two vectors is anti-commutative, meaning:
A) $\vec{A} \times \vec{B} = \vec{B} \times \vec{A}$
B) $\vec{A} \times \vec{B} = -\vec{B} \times \vec{A}$
C) $\vec{A} \cdot \vec{B} = \vec{B} \cdot \vec{A}$
D) $\vec{A} \cdot \vec{B} = -\vec{B} \cdot \vec{A}$
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