Vectors and Equilibrium
Resolution of a vector is the process of splitting it into:
A) Two components
B) Multiple components
C) Its rectangular components
D) Both B and C
A physical quantity whose direction is opposite to its magnitude is a:
A) Scalar
B) Vector
C) Null vector
D) Unit vector
The magnitude of a vector $\vec{A}$ is given by:
A) $A_x + A_y$
B) $\sqrt{A_x^2 + A_y^2}$
C) $A_x A_y$
D) $A_x/A_y$
The condition for equilibrium of a body in two dimensions is:
A) $\sum F_x = 0$ only
B) $\sum F_y = 0$ only
C) $\sum F_x = 0$ and $\sum F_y = 0$
D) $\sum F_x = 0$, $\sum F_y = 0$, and $\sum \tau = 0$
If the resultant of two vectors $\vec{A}$ and $\vec{B}$ is a vector $\vec{R}$, and $R=A+B$, the angle between $\vec{A}$ and $\vec{B}$ is:
A) $0^\circ$
B) $90^\circ$
C) $180^\circ$
D) $45^\circ$
The law of cosines for vector addition is given by:
A) $R^2 = A^2 + B^2$
B) $R^2 = A^2 + B^2 + 2AB\cos\theta$
C) $R^2 = A^2 + B^2 - 2AB\cos\theta$
D) $R = \sqrt{A^2 + B^2}$
A body in neutral equilibrium has its center of gravity:
A) Raised upon displacement
B) Lowered upon displacement
C) At the same height upon displacement
D) None of these
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