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The moment of inertia of a circular lamina of diameter d, about an axis perpendicular to the plane of the lamina and passing through its centre, is
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Total no of instantaneous centres of a machine having n links, is
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A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be
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The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are
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A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length
C. Is not changed but weight of the bob is increased
D. Is not changed but weight of the bob is decreased
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4
Select the correct statement
A. The body centrode rolls on the space centrode
B. The space centrode rolls on the body centrode
C. Both body and space centrodes may role on each other
D. The body centrode never touches space centrode
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A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is
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From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of
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4
Pick up the correct statement from the following:
A. If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities
B. If a sphere impinges directly on an equal sphere which is at rest, then a fraction ½(1 - e2) the original kinetic energy is lost by the impact
C. If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles
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The velocity of a moving body, is
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The vertical reaction at the support A of the structure shown in below figure, is
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A projectile is thrown at an angle α to the horizontal with velocity v. It will have the maximum centripetal acceleration
B. At the top of the trajectory
C. As it strikes the ground
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4
To attain the synchronous orbit, the launch of a satellite, is done from a place
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For a simple pendulum, time period for a beat, is
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A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately
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Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of
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A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,
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The motion of a particle is described by the relation x = t2- 10t + 30, where x is in metres and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be
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Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
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When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as
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0.For maximum range of a projectile, the angle of projection should be
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The force acting on a point on the surface of a rigid body may be considered to act
A. At the centre of gravity of the body
B. On the periphery of the body
C. On any point on the line of action of the force
D. At any point on the surface normal to the line of action of the force
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The load shared by the member BC of the structure shown in below figure is
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If two equal forces of magnitude P act at an angle θ, their resultant, will be
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A geo-stationary satellite is one which orbits the earth with a velocity of rotation of
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A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?
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If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is
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A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will
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A satellite is said to move in a synchronous orbit if it moves at an altitude of 36, 000 km with a maximum velocity of about
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From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through