1
GATE ME 2016 Set 3
Numerical
+2
-0
A rigid rod $$(AB)$$ of length $$L = \sqrt 2 $$ m is undergoing translational as well as rotational motion in the $$ x-y$$ plane (see the figure). The point $$A$$ has the velocity $${V_1} = \widehat i + 2\widehat jm/s.$$ The end $$B$$ is constrained to move only along the $x$$ direction. GATE ME 2016 Set 3 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 24 English

The magnitude of the velocity $${V_2}$$ (in $$m/s$$) at the end $$B$ is __________

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2
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
$${\sum {_i{\rho _i} \times {m_i}\mathop \rho \limits^{..} } _i}$$
3
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
For the truss shown in the figure, the magnitude of the force (in kN) in the member SR is GATE ME 2015 Set 2 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 31 English
A
10
B
14.14
C
20
D
28.28
4
GATE ME 2015 Set 2
Numerical
+2
-0
The initial velocity of an object is $$40$$ $$m/s.$$ The acceleration a of the object is given by the following expression: a$$=-0.1v$$
Where v is the instantaneous velocity of the object. The velocity of the object after $$3$$ seconds will be _______
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