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A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is
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The following is in unstable equilibrium
A. A uniform solid cone resting on a generator on a smooth horizontal plane
B. A uniform solid cone resting on its base on a horizontal plane
C. A solid cube resting on one edge
D. A satellite encircling the earth
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4
A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is
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If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to
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A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be
A. [r (π + 0.25)]/(π - 0.5)
B. [r (π - 0.5)]/(π + 0.25)
C. [r (π - 0.25)]/(π - 0.5)
D. [r (π + 0.25)]/(π + 0.5)
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A satellite goes on moving along its orbit round the earth due to
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In case of S.H.M. the period of oscillation (T), is given by
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A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?
D. Equally stable on all faces
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If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and floor, is
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The shape of a suspended cable under its own weight, is
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P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf= 0, is known as
B. Equation of dynamic equilibrium
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Newtons Law of Motion is:
A. Everybody continues in its state of rest or of uniform motion in a straight line, unless it is acted upon by some external force
B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
C. To every action, there is always an equal and opposite reaction
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One Newton force, is
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The diagram showing the point of application and line of action of forces in their plane is called
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If the angular distance, 0 = 2t3 - 3t², the angular acceleration at t = 1 sec. is
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Force polygon method is applicable for
A. Any coplanar force system
B. A system of parallel forces only
C. Concurrent coplanar force system
D. Non-concurrent coplanar force system
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A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be
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The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
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Pick up the correct statement from the following:
A. Nature plays an important role in the launch of a satellite
B. The earth's gravity reduces the speed of a satellite by 32 km per second
C. The gravitational force relents as the satellite climbs higher
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A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is
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The unit of force in C.G.S. system of units, is called
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The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is
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The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be
A. sin (α + β)/sin (α - β)
B. sin (α - β)/sin (α + β)
C. cos (α - β)/cos (α + β)
D. tan (α - β)/tan (α + β)
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The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is
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M.I. of solid sphere, is
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If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
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A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is
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Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by
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The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is
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The apparent weight of a man in a moving lift is less than his real weight when it is going down with