Physics
Vectors and Equilibrium
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#25 The resolved component of a vector $\vec{A}$ along the x-axis is given by:
A) $A\sin\theta$
B) $A\cos\theta$
C) $A\tan\theta$
D) $\sqrt{A_x^2 + A_y^2}$
#26 The angle of a vector $\vec{A}$ with the x-axis is given by:
A) $\theta = \tan^{-1}(A_x/A_y)$
B) $\theta = \tan^{-1}(A_y/A_x)$
C) $\theta = \cos^{-1}(A_y/A)$
D) $\theta = \sin^{-1}(A_x/A)$
#27 Two forces $\vec{F_1}$ and $\vec{F_2}$ are applied on a body. The body is in equilibrium if:
A) $\vec{F_1} = \vec{F_2}$
B) $\vec{F_1} = -\vec{F_2}$
C) $\vec{F_1} + \vec{F_2} \neq 0$
D) $\vec{F_1} \cdot \vec{F_2} = 0$
#28 A body is in static equilibrium when:
A) It is moving with constant velocity
B) It is at rest
C) Its acceleration is non-zero
D) It is rotating
#29 A body is in dynamic equilibrium when:
A) It is at rest
B) It is moving with constant velocity
C) It is accelerating
D) It is rotating with constant angular velocity
#30 The position vector of a point $(x, y, z)$ is given by:
A) $x\hat{i} + y\hat{j}$
B) $y\hat{j} + z\hat{k}$
C) $x\hat{i} + y\hat{j} + z\hat{k}$
D) $x+y+z$
#31 The magnitude of the torque is given by:
A) $rF$
B) $rF\sin\theta$
C) $rF\cos\theta$
D) $rF\tan\theta$
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