1
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A system of particles in motion has mass center $$G$$ as shown in the figure. The particle $$i$$ has mass $${m_i}$$ and its position with respect to a fixed point $$O$$ is given by the position vector $${r_i}$$ . The position of the particle with respect to $$G$$ is given by the vector $${\rho _i}$$ . The time rate of change of the angular momentum of the system of particles about $$G$$ is (The quantity $$\mathop {{\rho _i}}\limits^{..} $$ indicates second derivative of $${\rho _i}$$ with respect to time and likewise for $${r _i}$$). GATE ME 2016 Set 2 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 27 English
A
$$\,\,{\sum {_i{r_i} \times {m_i}\mathop \rho \limits^{..} } _i}$$
B
$${\sum {_i{\rho _i} \times {m_i}\mathop r\limits^{..} } _i}$$
C
$${\sum {_i{r_i} \times {m_i}\mathop r\limits^{..} } _i}$$
D
$${\sum {_i{\rho _i} \times {m_i}\mathop \rho \limits^{..} } _i}$$
2
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A point mass having mass $$M$$ is moving with a velocity $$V$$ at an angle $$\mathop \theta \limits^ \cdot $$ to the wall as shown in the figure. The mass undergoes a perfectly elastic collision with the smooth wall and rebounds. The total change (final minus initial) in the momentum of the mass is GATE ME 2016 Set 2 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 72 English
A
$$ - 2MV\cos \theta \widehat j$$
B
$$ 2MV\sin \theta \widehat j$$
C
$$ 2MV\cos \theta \widehat j$$
D
$$ - 2MV\sin \theta \widehat j$$
3
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Assuming constant temperature condition and air to be an ideal gas, the variation in atmospheric pressure with height calculated from fluid statics is
A
linear
B
exponential
C
quadratic
D
cubic
4
GATE ME 2016 Set 2
Numerical
+2
-0
Consider fluid flow between two infinite horizontal plates which are parallel (the gap between them being $$50$$ $$mm$$). The top plate is sliding parallel to the stationary bottom plate at a speed of $$3$$ $$m/s.$$ The flow between the plates is solely due to the motion of the top plate. The force per unit area (magnitude) required to maintain the bottom plate stationary is _______________ $$N/{m^2}.$$

Viscosity of the fluid $$\mu = 0.44\,\,kg/m$$-$$s$$ and density $$\rho = 888$$ $$kg/{m^3}.$$

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