1
GATE ME 2017 Set 2
Numerical
+2
-0
The rod PQ of length L = 2 m, and uniformly distributed mass of M = 10 kg, is released from rest at the position shown in the figure. The ends slide along the frictionless faces OP and OQ. Assume acceleration due to gravity, g = 10 m/s2 . The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML2 /12). At this instant, the magnitude of angular acceleration (in radian/s2 ) of the rod is ____________. GATE ME 2017 Set 2 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 21 English
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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 26 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 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 24 English
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4
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 25 English
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