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A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
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The following statement is one of the laws of Dynamic friction
A. The force of friction always acts in a direction opposite to that in which a body is moving
B. The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction
C. For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed
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4
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then? (i) A force is required to move the body upwards (ii) A force is required to move the body downward (iii) The body will not be in equilibrium The correct answer is
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4
The height at which the end of a rope of length l should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is
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The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
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A smooth cylinder lying on its convex surface remains
B. In unstable equilibrium
C. In neutral equilibrium
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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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The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at
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A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan1 x, where x is
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4
If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with
B. A uniform acceleration
C. A variable acceleration
D. A variable retardation
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If the angular distance, 0 = 2t3 - 3t², the angular acceleration at t = 1 sec. is
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The graphical method of determining the forces in the members of a truss is based on
D. None of the two methods
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In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?
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To attain the synchronous orbit, the launch of a satellite, is done from a place
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The C.G. of a right circular cone lies on its axis of symmetry at a height of
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Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of
A. One-half of the total height above base
B. One-third of the total height above base
C. One-fourth of the total height above base
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A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be
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The angle of friction is:
A. The ratio of the friction and the normal reaction
B. The force of friction when the body is in motion
C. The angle between the normal reaction and the resultant of normal reaction and limiting friction
D. The force of friction at which the body is just about to move
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4
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is
A. (a² + ab + b²)/3 (a + b)
B. (b² + bc + c²)/3 (b + c)
C. (a² + ab + c²)/3 (a + c)
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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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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 sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be
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The unit of moments in M.K.S system, is
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The C.G. of the shaded area of the below figure from the x-axis is
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u1 and u2 are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are v1 and v2. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
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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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On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts
A. Towards the wall at its upper end
B. Away from the wall at its upper end
C. Upwards at its upper end
D. Downwards at its upper end
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A Seconds pendulum executes
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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 mechanical advantage of the lifting machine is
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The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is