In simple harmonic motion, acceleration of a particle is proportional to
A. Rate of change of velocity
B. Displacement
C. Velocity
D. Direction
Select an option to see the answer and solution.
The bending moment in an arch is proportional to
A. Vertical ordinate of funicular polygon
B. Vertical ordinate of the arch
C. Intercept between the arch axis and the funicular polygon
D. None of these
Select an option to see the answer and solution.
The C.G. of a thin hollow cone of height ‘h’, above its base lies on the axis, at a height of
Select an option to see the answer and solution.
The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at
A. Supports
B. Quarter span
C. Mid span
D. None of the above
Select an option to see the answer and solution.
The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2 - 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is
A. 2 1 sec
B. 1 sec
C. 1.2 sec
D. 1.5 sec
Select an option to see the answer and solution.
If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
A. 500 meters
B. 1000 meters
C. 1500 meters
D. 2000 meters
Select an option to see the answer and solution.
If a set of given forces are such that their free vectors build a closed polygon, then
A. The resultant force and resultant couple are always zero
B. The resultant force is zero but resultant couple is not zero
C. The resultant force is zero but resultant couple may not be zero
D. The resultant force and resultant couple both may not be zero
Select an option to see the answer and solution.
The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are
Select an option to see the answer and solution.
The number of funicular polygons which can be drawn to pass through two specified points in the space diagram are
Select an option to see the answer and solution.
Equation of motion of a point in a straight line, is
A. v = u + ft
B. S = ut + 2 1 ft2
C. 2fS = v2 - u2
D. All the above
Select an option to see the answer and solution.
The tension in a cable supporting a lift
A. Is more when the lift is moving downwards
B. Is less when the lift is moving upwards
C. Remains constant whether its moves downwards or upwards
D. Is less when the lift is moving downwards
Select an option to see the answer and solution.
Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and
A. Concurrent
B. Parallel
C. Concurrent parallel
D. None of these
Select an option to see the answer and solution.
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?
Select an option to see the answer and solution.
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is
A. 350 m
B. 375 m
C. 400 m
D. 425 m
Select an option to see the answer and solution.
A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
A. 0.5 m/sec2
B. 0.7 m/sec2
C. 1 m/sec2
D. 1 cm/sec2
Select an option to see the answer and solution.
A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length
A. Must be decreased
B. Must be increased
C. Is not changed but weight of the bob is increased
D. Is not changed but weight of the bob is decreased
Select an option to see the answer and solution.
The centre of gravity of a homogeneous body is the point at which the whole
A. Volume of the body is assumed to be concentrated
B. Area of the surface of the body is assumed to be concentrated
C. Weight of the body is assumed to be concentrated
D. All the above
Select an option to see the answer and solution.
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
Select an option to see the answer and solution.
Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is
A. 2 sec
B. 3 sec
C. 4 sec
D. 5 sec
Select an option to see the answer and solution.
A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is
A. 40 kg
B. 60 kg
C. 10 kg
D. 100 kg
Select an option to see the answer and solution.