Physics
Vectors and Equilibrium
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#33 What is the condition for a body to be in rotational equilibrium?
A) $\sum \vec{F} = 0$
B) $\sum \vec{\tau} = 0$
C) $\vec{P} = 0$
D) $\vec{L} = 0$
#34 A pair of forces equal in magnitude but opposite in direction and not acting along the same line is called a:
A) Net force
B) Couple
C) Resultant force
D) Equilibrium force
#35 The moment arm is the perpendicular distance from the axis of rotation to the:
A) Point of application
B) Line of action of the force
C) Center of mass
D) Point of origin
#36 What is the magnitude of the resultant of two forces, $F_1$ and $F_2$, acting at a right angle?
A) $F_1 + F_2$
B) $F_1^2 + F_2^2$
C) $\sqrt{F_1^2 + F_2^2}$
D) $F_1 F_2$
#37 The magnitude of the resultant of two vectors $\vec{A}$ and $\vec{B}$ is given by:
A) $\sqrt{A^2 + B^2}$
B) $\sqrt{A^2 + B^2 + 2AB\cos\theta}$
C) $A + B$
D) $\sqrt{A^2 + B^2 - 2AB\cos\theta}$
#38 What is the value of $\hat{i} \cdot \hat{i}$?
A) 0
B) 1
C) $\hat{i}$
D) $-\hat{i}$
#39 What is the value of $\hat{i} \times \hat{i}$?
A) 0
B) 1
C) $\hat{j}$
D) Null vector
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