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National Champion Test GATE 2018 CE: Engineering Mechanics
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Question 1
Calculate kinetic energy of an artificial satellite revolves round the earth with a relative velocity of 800 m/s. If acceleration due to gravity is 9 m/s2 and gravitational force is 3600 N, calculate its kinetic energy.
Question 2
Find the revolution per minute(rpm) of a rolling wheel like that shown in Fig, Where VA = 90.5 kmph and r = 25 cm 
Question 3
A forces acting on a Structure like Dams was analysed, the forces when in equilibrium form a;
Question 4
According to Newton’s first law of motion, the body acted upon by a coplanar system of forces is said to be in equilibrium when
Question 5
Two members AJ and BJ are connected at a point perpendicular to each other at joint J. A load of 25kN is applied collinear with BJ, then the force applied on member FBJ is;
25 kN
25 kN
Question 6
A system of particles in motion has mass center G as shown in the figure. The particle i has mass mi and its position with respect to a fixed point O is given by the position vector ri. The position of the particle with respect to G is given by the vector 
. The time rate of change of the angular momentum of the system of particles about G is
(The quantity
indicates second derivative of 
with respect to time and likewise for ri ).
. The time rate of change of the angular momentum of the system of particles about G is (The quantity
indicates second derivative of with respect to time and likewise for ri ). Question 7
The rod PQ of length
, 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 _____
, 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 _____ Question 8
A block is moving on a inclined plane making an angle 45 ° with the horizontal and the coefficient of friction is 
. The force required to push up the inclined plane is 3 times the force required to just prevent it from sliding down. Then 
is
. The force required to push up the inclined plane is 3 times the force required to just prevent it from sliding down. Then is Question 9
A uniform disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three forces of equal magnitude F = 0.5 N are applied simultaneously along the three sides of an equilateral triangle XYZ with its vertices on the perimeter of the disc. The angular speed of the disc in rad s–1 after 1s of application of forces will be:
Question 10
Two block of weight 50 N and 30 N respectively are connected by a light string passing over a smooth friction less pulley. The acceleration with which the weights move ?
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Jul 31ESE & GATE CE
