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 9 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 3
Numerical
+2
-0
A circular disc of radius 100 mm and mass 1 kg, initially at rest at position A, rolls without slipping down a curved path as shown in figure. The speed v of the disc when it reaches position B is _________ m/s.
Acceleration due to gravity g = 10 m/s2 GATE ME 2016 Set 3 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 7 English
Your input ____
3
GATE ME 2016 Set 3
Numerical
+2
-0
An inextensible massless string goes over a frictionless pulley. Two weights of 100 N and 200 N are attached to the two ends of the string. The weights are released from rest, and start moving due to gravity. The tension in the string (in N) is __________ . GATE ME 2016 Set 3 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 8 English
Your input ____
4
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 6 English

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

Your input ____
GATE ME Subjects
Turbo Machinery
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12